The present invention is directed, in general, to communication systems and, more particularly, to a system and method for receiving orthogonal frequency division multiplexed (“OFDM”) symbols in a broadcasting system using a transmission channel with initially unknown modulation characteristics, the OFDM symbols being subject to timing and frequency offsets that may be compensated for in the receiver. In one application the broadcasted OFDM symbols are part of a next generation digital video broadcasting (“DVB-T2”) transmission scheme.
The DVB standard for broadcasting over-the-air video signals (e.g. video/television) is used in many countries as the present method for transmission of digital television signals. The DVB standards include standards for cable transmission (“DVB-C”), satellite transmission (“DVB-S”), over-the-air terrestrial transmission (“DVB-T”), and recently, specific DVB-T transmission to mobile devices (“DVB-H”). The DVB-T standard supports the transmission of standard definition (“SD”) and high definition (“HD”) video and data signals to receivers such as HD-ready televisions, and more frequently, set-top boxes (“STBs”) that receive the signals from transmitters and provide digital, or analog, television compatible outputs for viewing.
On the receiving end, DVB capable television receivers 23, or alternatively set top boxes 15, receive the RF signals from antennas 21 and 13, respectively. The RF signals received are then processed back to digital signals in MPEG-2 format using an analog front end (“AFE”) and analog-to-digital converter (“ADC”), and the signals are then demodulated, demultiplexed and the receiver then provides a selection of video and audio signals to a television or video monitor, for viewing by the user. Some recently produced televisions or monitors such as 23 shown in
As handheld devices for wireless communication systems such as cellular telephones, media players, and personal digital assistants (“PDAs”) become widely deployed and continue to attract a growing number of users, there is a commercial need to provide video signals, such as television broadcasts, to mobile or handheld portable devices. The DVB-H standard adds certain features to the basic DVB-T standard specifically directed as such receivers. In
DVB-T broadcasting is based on an orthogonal frequency division multiplexed (“OFDM”) modulation signaling scheme. This modulation provides a robust signal and a large number of sub-carriers. The DVB-T scheme provides additional features: options that a broadcaster might use are one of three modulation types: quadrature phase shift keying (“QPSK”), 16QAM, 64QAM, one of five different forward error correction (“FEC”) rates, one of four different GI lengths, a choice of carriers (2K, or 8K) and a choice of channel bandwidths (6, 7 or 8 MHz). DVB-T can support services such as standard definition digital TV (“SDTV”), high definition digital TV (“HDTV”), radio, interactive services (with return channels) and IP data casting (supporting, for example, internet browsing). DVB-T also features hierarchical modulation, which provides a high priority (“HP”) and a low priority (“LP”) transport stream. Two different services may be simultaneously broadcast for different receivers, for example, standard definition (“SD”) and high definition (“HD”) broadcasts.
The robustness of DVB-T has proven capabilities for mobile devices. The DVB-T standard has been improved further with specific standardization directed at mobile receivers in the DVB-H standard. DVB-H adds to DVB-T additional features directed at optimizing broadcasts for mobile receivers, including time slicing, or bursty transmission, which allows the mobile to save power (especially important for battery operated devices); additional modes such as a 4k mode, a compromise between mobile reception capability and SFN cell size; additional forward error correction code MPE-FEC; and an in-depth interleaver which is a short time interleaver for 2k and 4k modes.
Currently, many countries are transitioning from a broadcast environment that includes both DVB-T and pre-existing UHFNVHF analog television over-the-air broadcasting as signals in the frequency spectrum available for television. These transitions are presently moving to an environment of purely digital video broadcasting, over a time period known as “analog turn off.” At that time, additional frequency spectrum for digital video broadcast transmissions will become available. In order to further enhance DVB broadcasting and to take advantage of this additional available broadcast spectrum, efforts are presently underway to extend DVB-T standards to next generation (sometimes referred to as “second generation” or “2G”) digital video broadcast standards. These standards are presently referred to using various acronyms, but often are referred to as “DVB-T2” for the next generation terrestrial DVB standard, and “DVB-H2” or “DVB-NGH” for the next generation handheld device or mobile DVB standard. Goals for extending the DVB terrestrial standards to the new DVB-T2 standards include increasing higher payloads, providing optimum reception for fixed and mobile receivers, adding additional carriers, reducing peak power, adding multiple-input multiple-output diversity antennas, and better support for internet protocol (“IP”) data streaming. New methods and devices for receiving and processing these next generation DVB signals, in an efficient, economic and robust manner, using approaches compatible with existing integrated circuit and receiver technology, without adding significant costs to systems or to the end consumer, are desirable.
These and other problems are generally solved or circumvented, and technical advantages are generally achieved, by advantageous embodiments of the present invention which include an apparatus and methods according to the embodiments for providing receivers that detect and decode the preamble sequences of OFDM symbols. OFDM symbols are currently defined for DVB-T2 transmissions, however the exemplary embodiments described herein are not limiting, are examples presented to enhance understanding, and the invention is not limited to DVB-T2 applications. The methods disclosed will provide efficient algorithms for use in receiving OFDM preamble symbols having certain timing and frequency offsets. Exemplary embodiments are described that may be used in a practical DVB-T2 receiver embodiment for estimating and correcting for time offset and frequency offset errors. These errors are necessarily present in receiving the preamble OFDM signals over an un-characterized transmission channel, such as in receiving an initial OFDM preamble.
According to an exemplary embodiment, a receiver detects a received OFDM preamble having a first portion including a complete cycle of OFDM signals, and including a cyclic prefix extension that is a frequency shifted portion of the first part of the first portion and including a cyclic suffix that is a frequency shifted portion of the second part of the first portion, the cyclic prefix and cyclic suffix together forming a frequency shifted portion that replicates the first portion. The receiver advantageously determines an estimated integer frequency offset from the first portion and a concatenation of the cyclic suffix and the cyclic prefix. The receiver first performs a transformation to the frequency domain on both the first portion, and the concatenation, after which the integer frequency offset estimate can be solved from the power of the received subcarriers. The receiver then compensates for the phase error that results from the frequency offset between the first portion and the concatenated portion and adds the portions coherently.
According to another exemplary embodiment, a method for removing phase errors from received OFDM preamble symbols is disclosed. In the method, a received OFDM symbol comprises a first portion including a complete cycle of OFDM signals, and including a cyclic prefix extension that is a frequency shifted portion of the first part of the first portion of the received OFDM symbol and including a cyclic suffix that is a frequency shifted portion of the second part of the first portion of the received OFDM symbol, the cyclic prefix and cyclic suffix concatenated together forming a frequency shifted portion that replicates the first portion. An estimation of a frequency offset is performed. A frequency domain transformation of the first portion and a frequency domain transformation of the concatenation of the cyclic prefix and the cyclic suffix are performed. A correction to compensate for phase error due to the frequency offset is applied to one of the frequency domain symbols. The frequency domain transformed first portion and the frequency domain transformed concatenation are combined in a coherent addition to compensate for the frequency offset.
According to another exemplary embodiment, a method for removing phase errors from received OFDM preamble symbols is disclosed. In the method, a received OFDM symbol comprises a first portion including a complete cycle of OFDM signals, and including a cyclic prefix extension that is a frequency shifted portion of the first part of the first portion and including a cyclic suffix that is a frequency shifted portion of the second part of the first portion, the cyclic prefix and cyclic suffix together forming a frequency shifted portion that replicates the first portion. A transformation of the first portion and a concatenation of the cyclic prefix and the cyclic suffix to the frequency domain are performed. A correction to compensate for phase error due to timing offsets is applied. During a demodulation of the frequency transformed OFDM symbols, differential binary phase shift keying (“DBPSK”) demodulation is performed including a correction to compensate for the phase error.
In another exemplary embodiment, a receiver implementation is provided. The receiver receives an OFDM preamble symbol having a complete sequence of N samples, a prefix that is a frequency shifted cyclic extension of the first portion of the preamble symbol having a length of N samples/2 plus an offset and a suffix that is a frequency shifted cyclic extension of the second portion of the preamble symbol having a length of N samples/2 minus the offset. The receiver performs a concatenation operation to combine the prefix and suffix to form a frequency shifted copy of the preamble symbol that is N samples in length. Fast Fourier transformations (“FFT”) are performed on the N samples of the preamble symbol and on the concatenated samples. In the frequency domain, the phase rotation that is due to a carrier frequency offset is corrected by applying a correction to the concatenation sequence. The Fourier transformed sequences of the preamble symbol and the concatenation after the phase correction are then combined in a coherent addition, and the phase rotation is thereby compensated.
In another exemplary embodiment, a receiver implementation is provided. The receiver receives an OFDM preamble symbol having a complete sequence of N samples, a prefix that is a frequency shifted cyclic extension of the first portion of the preamble symbol having a length of N samples/2 plus an offset and a suffix that is a frequency shifted cyclic extension of the second portion of the preamble symbol having a length of N samples/2 minus the offset. The receiver performs a concatenation operation to combine the prefix and suffix samples to form a frequency shifted copy of the preamble symbol that is also N samples in length. Fast Fourier transformations are performed on the N samples of the preamble symbol and also on the concatenated samples. In the frequency domain, the phase rotation that is due to timing offsets is estimated by calculating the average carrierwise phase difference between the concatenation and the preamble symbol. The receiver then compensates for the estimated phase rotation in performing the DBPSK demodulation of the frequency domain sequences, or, by adjusting directly the symbol timing.
In an additional exemplary embodiment, a method for receiving an OFDM preamble symbol is disclosed. In the method, a received OFDM symbol having a first length N is received including a frequency shifted cyclic extension prefix that includes the first portion of the OFDM symbol and has a length of N/2 samples plus an offset, and a frequency shifted cyclic extension suffix that includes the remaining portion of the OFDM symbol and has a length of N/2 samples minus the offset. The receiver performs a concatenation of the prefix and suffix to form a frequency shifted sequence that is N samples in length and replicates the preamble OFDM symbol, Fast Fourier transformation is performed on the N sample OFDM preamble symbol and the N sample concatenation. A phase correction is performed on the frequency domain concatenation samples and the frequency domain OFDM preamble samples are combined in a coherent addition with the frequency domain concatenation sequence. The method continues and an estimate of phase rotation in the frequency domain samples due to a timing offset is made. The estimate is applied to a DBPSK demodulation performed on the coherently added frequency domain symbols and the phase rotation due to the timing offset is compensated.
In another exemplary embodiment, a computer readable medium is described that provides instructions for programming a programmable receiver. The program steps program the programmable receiver to perform a method for receiving the OFDM preamble. In the method, a received OFDM symbol having a first length N is received including a frequency shifted cyclic extension prefix that includes the first portion of the OFDM symbol and has a length of N/2 samples plus an offset, and a frequency shifted cyclic extension suffix that includes the remaining portion of the OFDM symbol and has a length of N/2 samples minus the offset. The receiver is programmed by the instructions stored on the computer readable medium to perform a concatenation of the prefix and suffix to form a frequency shifted sequence that is N samples in length, and replicates the preamble OFDM symbol. The computer readable medium further provides instructions to the receiver causing Fast Fourier transformation on the N sample OFDM preamble symbol and on the N sample concatenation. The computer readable medium further provides instructions to cause the programmable receiver to perform phase correction on the concatenation samples in the frequency domain. The computer readable medium further provides instructions causing the programmable receiver to combine the compensated frequency domain samples from the concatenation and the frequency domain samples from the OFDM preamble in a coherent addition. The computer readable medium further provides instructions causing the programmable receiver to make an estimate of phase rotation in the frequency domain samples due to a timing offset. The computer readable medium further provides instructions to cause the programmable receiver to perform a DBPSK demodulation on the coherently added frequency domain symbols and the phase rotation due to the timing offset is compensated.
In another exemplary method, OFDM preamble symbols are received by receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B in the time domain to form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation; and correcting the phase rotation in the frequency domain. In another exemplary method, the received OFDM preamble has a length N of 1024. In another exemplary method, the receiver receives an OFDM preamble where the offset K=0. In another exemplary method, the receiver receives an OFDM preamble where the offset K is an integer greater than 0.
In another exemplary method, a receiver receives an OFDM preamble symbol by receiving over the air spread spectrum modulated radio frequency signals. In another exemplary method, the receiver receives the OFDM preamble by receiving over the air radio frequency spread spectrum modulated signals; performing baseband filtering to extract an analog received signal; and by performing analog-to-digital conversion to form digital signals comprising the OFDM preamble symbol.
In another exemplary method, OFDM preamble symbols are received by receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B in the time domain to form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation; and correcting the phase rotation in the frequency domain; wherein estimating the phase rotation comprises estimating the phase error due to an integer frequency offset. In another exemplary method, estimating the phase error due to an integer frequency offset comprises performing the calculation:
where NC is the number of samples in C, and ε is the normalized frequency offset (frequency offset divided by the subcarrier spacing). In another exemplary method, the phase rotation due to an integer frequency offset is corrected by performing a complex multiplication on the frequency domain symbol CB and coherently adding the frequency domain symbols A and CB.
In another exemplary method, receiving the OFDM preamble symbol further comprises performing DBPSK demodulation on the frequency domain symbols and extracting parameters to be used in receiving subsequent OFDM symbols. In another exemplary method, extracting the parameters comprises extracting one or more modulated signal sequences. In another exemplary method, receiving OFDM preamble symbols further comprises receiving digital video broadcast signals.
In another exemplary method, receiving spread spectrum modulated radio frequency signals further comprises receiving radio frequency signals at an antenna.
In another exemplary method, a receiver receives an OFDM preamble by receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B in the time domain to form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation due to an integer frequency offset; correcting the phase rotation in the frequency domain to produce a corrected frequency domain symbol; estimating a phase error due to a timing offset; and correcting the phase error due to the timing offset during a demodulation. In another exemplary method, the receiver receives an OFDM preamble with a length N=1024. In another exemplary method, the receiver receives an OFDM preamble with cyclic extensions having an offset K=0. In another exemplary method, the receiver receives the OFDM preamble with cyclic extensions having an offset K that is an integer greater than 0.
In another exemplary method, the receiver receiving the OFDM preamble symbol receives over-the-air spread spectrum modulated radio frequency signals. In another exemplary method, the receiver receiving over-the-air spread spectrum modulated radio frequency signals further performs baseband filtering to extract an analog received signal and performs analog-to-digital conversion on the analog received signal to form digital signals comprising the OFDM preamble symbol.
In another exemplary method, a receiver receives an OFDM preamble by receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B in the time domain to form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation due to an integer frequency offset; correcting the phase rotation in the frequency domain to produce a corrected frequency domain symbol; estimating a phase error due to a timing offset; and correcting the phase error due to the timing offset during a demodulation; wherein estimating the phase error due to the timing offset comprises performing the calculation:
on the frequency domain symbols A and CB, where yA,k is the kth subcarrier of part A, and K is the total number of subcarriers in the OFDM preamble.
In an exemplary apparatus, a receiver circuit configured to receive an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples is provided, a concatenation circuit configured to concatenate prefix C and suffix B to form a frequency shifted version CB of symbol A of length N samples is provided, a first fast Fourier transform circuit configured to perform a fast Fourier transform of length N on symbol A is provided, and a second fast Fourier transform circuit configured to perform a fast Fourier transform of length N on concatenated symbol CB is provided. Phase rotation estimation circuitry configured to calculate a phase rotation estimate due to integer frequency offset is provided, and correction circuitry configured to perform a phase rotation correction using the phase rotation estimate is provided.
In another exemplary apparatus, a receiver circuit configured to receive an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples is provided, a concatenation circuit configured to concatenate prefix C and suffix B to form a frequency shifted version CB of symbol A of length N samples is provided, a first fast Fourier transform circuit configured to perform a fast Fourier transform of length N on symbol A is provided, and a second fast Fourier transform circuit configured to perform a fast Fourier transform of length N on concatenated symbol CB is provided. Phase rotation estimation circuitry configured to calculate a phase rotation estimate due to integer frequency offset is provided, and correction circuitry configured to perform a phase rotation correction using the phase rotation estimate is provided, wherein the receiver circuit further comprises analog front end circuitry configured to receive spread spectrum modulated radio frequency signals and to perform baseband processing on the received radio frequency signals and analog-to-digital circuitry configured to receive analog signals from the analog front end circuitry and to perform analog-to-digital conversion, outputting the OFDM symbols. In another exemplary apparatus, the receiver further comprises an antenna.
In another exemplary apparatus, a receiver circuit configured to receive an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples is provided, a concatenation circuit configured to concatenate prefix C and suffix B to form a frequency shifted version CB of symbol A of length N samples is provided, a first fast Fourier transform circuit configured to perform a fast Fourier transform of length N on symbol A is provided, and a second fast Fourier transform circuit configured to perform a fast Fourier transform of length N on concatenated symbol CB is provided. Phase rotation estimation circuitry configured to calculate a phase rotation estimate due to integer frequency offset is provided, and correction circuitry configured to perform a phase rotation correction using the phase rotation estimate is provided, wherein the phase rotation estimation circuitry is configured to perform the calculation of:
where NC is the number of samples in C, and ε is the normalized frequency offset.
In yet another exemplary apparatus, a receiver circuit configured to receive an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples is provided, a concatenation circuit configured to concatenate prefix C and suffix B to form a frequency shifted version CB of symbol A of length N samples is provided, a first fast Fourier transform circuit configured to perform a fast Fourier transform of length N on symbol A is provided, and a second fast Fourier transform circuit configured to perform a fast Fourier transform of length N on concatenated symbol CB is provided. Phase rotation estimation circuitry configured to calculate a phase rotation estimate due to integer frequency offset is provided, and correction circuitry configured to perform a phase rotation correction using the phase rotation estimate is provided, wherein the correction circuitry further comprises multiplication circuitry configured to perform a complex multiplication on the frequency domain symbol CB by a phase rotation estimate and adding circuitry configured to coherently add the frequency domain symbols A and CB.
In another exemplary apparatus, a receiver circuit configured to receive an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples is provided; a concatenation circuit configured to concatenate prefix C and suffix B to form a frequency shifted version CB of symbol A of length N samples is provided; a first fast Fourier transform circuit configured to perform a fast Fourier transform of length N on symbol A is provided; a second fast Fourier transform circuit configured to perform a fast Fourier transform of length N on concatenated symbol CB is provided; phase rotation estimation circuitry configured to calculate a phase rotation estimate due to integer frequency offset is provided; correction circuitry configured to perform a phase rotation correction using the phase rotation estimate is provided; phase error estimation circuitry configured to estimate a phase error due to timing offsets and to output a phase error correction is provided; and demodulation circuitry configured to receive the output of the correction circuitry and to perform DBPSK demodulation including correcting for the phase error using the phase error correction is provided.
In another exemplary apparatus, a receiver circuit configured to receive an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, and a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples is provided; a concatenation circuit configured to concatenate prefix C and suffix B to form a frequency shifted version CB of symbol A of length N samples is provided; a first fast Fourier transform circuit configured to perform a fast Fourier transform of length N on symbol A is provided; a second fast Fourier transform circuit configured to perform a fast Fourier transform of length N on concatenated symbol CB is provided; phase rotation estimation circuitry configured to calculate a phase rotation estimate due to integer frequency offset is provided; correction circuitry configured to perform a phase rotation correction using the phase rotation estimate is provided; phase error estimation circuitry configured to estimate a phase error due to timing offsets and to output a phase error correction is provided; and demodulation circuitry configured to receive the output of the correction circuitry and to perform DBPSK demodulation including correcting for the phase error using the phase error correction is provided; wherein the receiver circuit further comprises analog front end circuitry configured to receive spread spectrum modulated radio frequency signals and to perform baseband processing on the received radio frequency signals and analog-to-digital circuitry configured to receive analog signals from the analog front end circuitry and to perform analog-to-digital conversion, outputting the OFDM symbols.
In another exemplary apparatus, a computer readable medium is provided containing instructions that, when executed by a programmable receiver processor, perform receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B in the time domain to form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation; and correcting the phase rotation in the frequency domain.
In another exemplary embodiment, a computer readable medium is provided containing instructions that, when executed by a programmable receiver processor, perform receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B to in the time domain form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation; and correcting the phase rotation in the frequency domain, wherein the instruction performing estimating the phase error further comprises instructions performing estimating the phase error due to an integer frequency offset.
In another exemplary embodiment, a computer readable medium is provided containing instructions that, when executed by a programmable receiver processor, perform receiving an OFDM preamble comprising symbol A of length N samples, a prefix C comprising a frequency shifted cyclic extension of the first portion of A of length N/2 samples plus an offset K samples, a suffix B comprising a frequency shifted cyclic extension of the remaining portion of A of length N/2 samples minus offset K samples; concatenating prefix C and suffix B to in the time domain to form a concatenated symbol CB that is a frequency shifted version of A having length N; transforming A into the frequency domain by performing a fast Fourier transform of length N; transforming the concatenated symbol CB into the frequency domain by performing a fast Fourier transform of length N; estimating a phase rotation due to an integer frequency offset; correcting the phase rotation in the frequency domain to produce a corrected frequency domain symbol; estimating a phase error due to a timing offset; and correcting the phase error due to the timing offset during a demodulation.
The foregoing has outlined rather broadly the features and technical advantages of the present invention in order that the detailed description of the invention that follows may be better understood. Additional features and advantages of the invention will be described hereinafter which form the subject of the claims of the invention. It should be appreciated by those skilled in the art that the conception and specific embodiment disclosed may be readily utilized as a basis for modifying or designing other structures or processes for carrying out the same purposes of the present invention. It should also be realized by those skilled in the art that such equivalent constructions do not depart from the spirit and scope of the invention as set forth in the appended claims.
For a more complete understanding of the invention, and the advantages thereof, reference is now made to the following descriptions taken in conjunction with the accompanying drawing, in which:
a), 10(b) and 10(c) illustrate correlator outputs for an ideal case, and two corrupted correlator outputs.
Referring initially to
The currently proposed DVB-T2 standard proposes that a two part preamble of parts P1 and P2 be used. DVB-T2 is a time division multiple access system: the preambles are used for synchronization and then signal recovery of received symbols in the receiver.
The preambles are OFDM signals. P2, the second part of the preamble, will contain several full-size OFDM symbols with level 1 (“L1”) and level 2 (“L2”) signaling. To receive P2, the receiver uses information contained in P1. A problem with receiving the preamble P1 is that prior to the reception of P1, the receiver does not have all of the information about the symbol transmissions needed to successfully tune the receiver and receive the DVB signals. Put another way, P1 is received from an uncharacterized transmission channel. The receiver therefore must detect the preamble P1, and compensate for any errors between the transmitter and receiver, without using information transmitted from the transmitter. After the preamble P1 is received correctly, additional correction can be made based on transmission parameters contained within the data transported by the preamble P1.
The first part of the two part DVB-T2 preamble, P1, is a single fixed-FFT OFDM symbol. P1 is structured so that it can be used to detect the presence of a DVB-T2 signal. (In some exemplary embodiments, if no T2 signal is located, the DVB-T2 receiver may still correctly receive DVB-T signals: this is not a required feature although it may be commercially desirable in order to maintain backwards compatibility with older transmitters in the environment.)
The preamble P1 also contains information to be used to decode the P2 symbols in the second part of the preamble, and the data symbols that follow. The preamble P1 symbol contains a 1024 (“1k”) OFDM labeled part A, and divided into parts A1 and A2, which is differential binary phase shift keying (“DBPSK”) modulated in the frequency direction by a pseudo-random binary sequence (“PRBS”). The PRBS is called the modulation signaling sequence (“MSS”). The MSS consists of two parts, S1 and S2. These two sequences carry signaling information, e.g. the FFT-size of the data symbols, the type of the T2 frame, etc.
The MSS bits are pseudo-randomly distributed across the 384 carriers out of the 853 available carriers at the 1k mode. The used carriers in this example are thus boosted by the square root of (853/384). The allocation of the used carriers is determined by the carrier distribution sequence (“CDS”). The DVB-T2 signal can be shifted by the frequencies ±1/6, ±2/6, ±3/6 MHz, compared to the nominal center frequency. The locations of the used carriers selected indicate the integer frequency shift.
The first part of the preamble, P1, is used in the DVB-T2 receiver's initial scan to determine and detect the presence of a T2 signal, to estimate the frequency offset from the CDS, and finally to detect the signaling from the MSS.
After the initial scan and T2 detection, the preamble P1 need not be used during normal data reception, however, it may be used to detect the frame start, or to improve synchronization between the transmitter and the receiver, and/or to improve channel estimation.
Once the receiver has determined this information, the receiver can receive L1 pre-signaling, and after that the receiver can receive any additional information needed for L2 signaling.
The initial scan to detect the presence of a DVB-T2 signal is performed by the DVB-T2 receiver by scanning the possible channels and the possible bandwidths. The receiver is tuned to the nominal center frequency of the selected channel, for each bandwidth, and the receiver then looks for a P1 symbol; if no P1 symbol is detected this sequence is repeated for each center frequency, and then for each bandwidth. However, note that it is not necessary for the receiver to check each frequency offset, because the presence of the P1 symbol can be detected at the nominal center frequency regardless of the frequency offset used.
In
If no T2 signal is found in state 49, the receiver transitions back to state 75, where the receiver changes frequencies and selects the next nominal center frequency. (If no P1 symbols are found, once the frequencies for a given bandwidth are scanned, the receiver will change bandwidths, and this can be seen in state 77. If no symbol is found, then the state transitions to state 79, “T2 signal not found.”)
If a P1 signal is located, the exemplary embodiment receiver state machine transitions to state 51. In state 51 the PI synchronization is performed. In this state coarse estimates for time and frequency synchronization are used from the time domain correlation state, and these estimates are then further refined from the following symbols.
The preferred embodiment receiver then transitions to state 53 and performs the FFT transformation indicated by the information obtained in the synchronization and time domain correlation states. The receiver then transitions to state 55 and detects the T2 signal.
In a practical receiver for DVB-T2 systems, it is important to quickly identify channels that do not contain a T2 a signal. The preamble structure of P1 supports an iterative approach to scanning for T2 signals that quickly allows the receiver to determine channels that do not have T2 signals. A first elimination of non-T2 channels can be done during the time domain correlation state 47. The P1 signal is repeated every frame. The frame interval is around 200 milliseconds, and the P1 signal is robust in terms of signal to noise ratio (“SNR”) requirements, testing two consecutive P1 positions may be a reliable method to detect the presence of a T2 signal. It is estimated this step would take about 500 milliseconds per RF channel. If this scanning is done over the 39 UHF channels, and even using 3 channel bandwidths, the total time used for this scan is only 58 seconds.
Once a potential P1 symbol is found, the receiver then transitions from state 49 to state 51 and performs the coarse time synchronization and the fractional frequency synchronization. The receiver then transitions to state 53 where the fast Fourier transform (“FFT”) is performed.
In state 55, the receiver can detect the presence of the T2 signal and determine the integer frequency offset. The integer frequency offset can be determined using the power at the presumed pilot carriers to determine the correct integer offset. As an alternate exemplary embodiment, the PRBSs could be used to determine the integer frequency offset.
If the signal is a T2 signal, the receiver transitions from the decision state 57 to the “detect signaling” state 59. In state 59, the receiver continues to prepare to receive the second part of the preamble by continuing to gain information. In state 61, the receiver is tuned to the proper frequency using the nominal center frequency and the frequency offset to receive data symbols. The receiver also has to determine the guard interval for the P2 symbol. This is done during the following data frame. The symbol P2 may not be detected immediately after the first symbol P1 detected, but there is sufficient time to detect the GI in state 63 before the next frame, as the whole 200 milliseconds frame duration can be used. This step adds another 200 milliseconds to the signal acquisition time but, but this added time only occurs for the channels with detected T2 signals and not for every channel. As the maximum number of parallel multiplexes typically is on the order of 7 to 8, corresponding to the T2 signals that are on different RF channels, and the receiver needs to wait for the next P2 for each RF channel, the total time added to the initial scan sequence is less than 2 seconds; here the example frame length is assumed to be 200 milliseconds.
State 65 depicts the final steps in gathering the information the receiver needs to receive data. In state 65 the receiver uses the next symbol P1 to detect the frame start, the second preamble part P2 is received and the signal parameters required to receive data.
In state 71, the preferred embodiment receiver has gathered the needed parameters to receive data and data reception begins. The final step of the T2 signal detection is to confirm the detected parameters from the level 1 signaling in the received P2 symbols.
Block 87 then makes the fractional frequency error correction. Block 89 removes the guard interval. Block 91 performs the FFT.
For detecting the P1 preamble, the CDS correlator, block 93, is important. The purpose of the CDS correlator is to determine the integer frequency offset, which might be up to 0.5 MHz. This is done in a first preferred embodiment by observing the power received at the presumed pilot subcarriers. The frequency offset may then be found by a sliding correlation over the frequency shift range, such as:
where P is the set of P1 pilot subcarriers without frequency offset and yx is the received symbol at carrier x.
After the CDS correlation, the preamble symbol P1 is then demodulated in block 95, the DBPSK demodulator, and MSS signals S1 and S2 are output. These signals contain transmission parameters needed by the receiver to receive the second preamble signal P2, and subsequent data signals.
In a one exemplary method, the preamble structure of P1 is advantageously used to determine a phase rotation caused by the integer frequency offset, and it is then corrected. Because of the particular structure of the preamble P1, as shown above in
Carrier frequency offset causes a phase rotation, which is OFDM symbol dependent but independent of subcarrier index. A basic OFDM symbol consists of the data part and the guard interval. The guard interval is a cyclic copy from the end of the data part, as shown in
In this case, the phase rotation between two consecutive OFDM symbols can be calculated from:
where N is the FFT-size, Ng is the number of guard interval samples, and ε is the normalized frequency offset, i.e., frequency offset divided by the subcarrier spacing.
Because any fractional frequency offset has already been corrected at this stage, ε is (at least approximately) an integer. Actually, the term (1+Ng/N) can be interpreted as the “number of samples from the beginning of the previous OFDM symbol to the beginning of the current symbol normalized by the FFT-size N.”
As shown in
where NC is the number of samples in part C.
First consider the case where K=0. When K=0, parts C and B have the same length 512, and the term NC/N equals 1/2 (512/1024), and equation (3) becomes:
where n is an integer. This expression holds for the phase rotation between part C to part A1 of preamble P1, and the rotation between parts B and A2 of preamble P2 is opposite because it is the opposite order. It is important to note that ejnπ=ejn(−π), and therefore the correction is the same for both C and B. Thus, C and B can be first concatenated before the FFT, and the phase correction can be applied after FFT. That is the phase correction is performed in the frequency domain (post-FFT).
It can be seen from Equation (4) that the phase rotation can be corrected by multiplying the concatenation CB by 1 for even ε and −1 for odd ε.
Now consider the case where the offset K is not equal to zero. In the current DVB-T2 proposal, when K is non-zero, the parts C and B of preamble P1 have a different length, which has some implications to the algorithm. However, C and B can still be simply concatenated in the time domain (before the FFT operation) and the effects of K can then be handled in frequency domain (after the FFT transformation). This is because the distance from the end of part C to the beginning of part B is still 1024 samples, which means that there is always a full number of cycles, regardless of the integer frequency offset.
For the case K>0, the phase rotation due to the frequency offset is no longer either 0 or π because the length of part C is not exactly 512 anymore. This causes a phase rotation term to occur, which depends on integer frequency offset and the value of K. This phase term can be calculated from (3) and it is:
This phase term can be easily compensated for in the receiver by a complex multiplication.
If K=0, combining C/B and A by using both estimation and correction can be described by the expression:
where ε refers to the frequency shift between C/B and A in multiples of subcarrier spacing (e.g. ε=1). The received frequency domain samples are marked by rkA, where k is the carrier index and the superscript ‘A’ indicates which parts have been used to calculate this sample. Notice that the sum in the expression (6) needs to be calculated only once, and after that it can be applied to all subcarriers (whatever k). If the correction is calculated based on the estimated integer frequency offset, the equation becomes:
r
k
CAB
=r
k
A
+r
k+ε
CB(1−2·mod(Δ{circumflex over (f)}int,2)). (7)
where Δ{circumflex over (f)}int is the estimated integer frequency offset.
Another exemplary embodiment implementation of the method, when K=0, could take into account the reliability of the different parts using a weighted average function by calculating:
Such reliability information (the weighted average functions) could be found from SNR measurements and would be beneficial against, e.g. impulsive interference.
Compensating the phase term due to non-zero K (equation (5)) could be applied either to A or CB and it is just a complex rotation:
{tilde over (r)}
k
A
=r
k
A exp(−jΔφ) (10)
or
{tilde over (r)}
k
CB
=r
k
CB exp(jΔφ). (11)
The combined output would in this case be the sum of phase corrected A and original CB, or, original A and phase corrected CB. Utilizing the reliability information by weighting can be applied similarly to the case K=0.
The example embodiment method for determining and compensating for the phase rotation in the frequency domain that is due to the integer frequency offset using C/B and A parts of the preamble P1 has the advantage over a more conventional approach that all of the signal energy of the preamble is used.
Another exemplary method is directed to a second problem in the receiver. Since the first part of the preamble P1 is the first symbol to be received, there is no prior knowledge within the receiver of the channel conditions, and thus the P1 symbol needs to include some means to overcome the channel distortions. This is the reason for using differential modulation between the subcarriers.
Differential modulation as used in the DVB-T2 transmitter and receiver is sensitive to timing offset (i.e. FFT-window misplacement), which causes a frequency dependent phase rotation.
An exemplary method for advantageously compensating for this timing offset has been determined. In this exemplary method, the approach is to estimate the phase rotation caused by the timing offset, and then correct for it.
First, the phase rotation is estimated. Since the fractional frequency offset can be estimated from the time domain correlation (modified guard interval correlation) and integer frequency offset can be corrected from the CDS correlation, it is assumed that at this point, there is now no phase difference between parts C, A, and B of the preamble P1 due to carrier frequency offset (“CFO”). The phase differences due to frequency offset may be corrected using the exemplary method described above. Alternative approaches may also be used to remove any phase error due to carrier frequency offset.
As described above, this error may be compensated for using the concatenation of CB in the time domain, and combining it with A after the transformation to the frequency domain (post FFT). Other approaches could also be used to eliminate phase error due to frequency offset between the transmitter and the receiver. In any event, since the phase error due to carrier frequency offset is now eliminated, the phase rotation from subcarrier k to subcarrier k+1, which depends on the timing offset, can be estimated. In one exemplary method this is done by calculating the average carrierwise phase difference between the combination of C/B, and A. As described above, parts C and B together form a frequency shifted version of A, and they can be simply concatenated in the time domain, before the FFT is performed.
Once the phase rotation due to timing offset is estimated, it must be corrected. When the phase rotation between adjacent carriers has been estimated, it can be taken into account in DBPSK demodulation. The variable subcarrier spacing needs to be considered, but that is straightforward because the CDS is known to the receiver. If the frequency shift between parts C, A, and B is one subcarrier spacing, the phase rotation is estimated between neighboring subcarriers. Thus, in case the actual subcarrier spacing is higher, the algorithm can also correct phase rotations that exceed the phase ambiguity limit (i.e. ±π).
Estimate of the phase error, {circumflex over (φ)}, can be mathematically expressed by:
where yA,k is the kth subcarrier of part A, and K is the total number of subcarriers in P1. If this phase rotation needs to be translated into time offset in samples, it can be done by:
where N and Δk are the FFT-size and subcarrier distance (N=1024 and Δk=1 in this case but it could be also larger).
Actually, the equations for the phase rotation apply exactly only when the timing offset causes a cyclic shift to the OFDM symbol. This is not strictly true for the P1 symbol, because the guard intervals (“GI”) are shifted in frequency, and thus some noise is added to the estimation.
After the estimate is performed, the phase correction can be implemented in the DBPSK demodulation. Normally, the DBPSK demodulator might translate the phase difference to soft bits (−1 . . . 1) by:
The core of this equation is the term arg(yk+1yk*), which calculates the phase difference between the reference carrier yk and the next used carrier yk+1 (there might be null carriers between these two). In presence of timing offset, one of these received samples (yk+1 or yk) needs to be compensated by the estimated phase error to have the same phase reference for both samples. This can be done, e.g., by multiplying the carrier yk+1 with a conjugate phase shift term.
Applying this derotation the equation becomes:
where dk is the distance between used subcarriers CDSk and CDSk+1 as multiples of subcarrier spacing, and arg( ) is supposed to return the angle between −π and π.
Two exemplary methods for enhanced preamble reception in a DVB-T2 receiver are described above. In the first, phase correction for errors due to integer frequency offset is described. In the second exemplary method, phase error due to timing offsets is estimated and the estimate is used so that the resulting phase difference is compensated for during the DBPSK demodulation of the preamble in the frequency domain.
In another exemplary method both phase error corrections are performed. That is, following the phase correction for the carrier frequency offsets, the phase error due to timing offsets is also compensated.
Following the FFT transformations of part A in block 16 and the CB concatenation (recall this also contains part A with a frequency shift) in block 18, both being 1k FFT transformations for the 1k samples, the phase correction for the integer frequency offsets is performed in block 20, as described above. The output of this correction now has no phase rotation due to CFO, and so any remaining phase rotation is due to timing offsets. This output is then input to block 26, where the phase error due to timing offsets is estimated as described with respect to
In another exemplary method, additional improvements in the operation of a DVB-T2 receiver in receiving the preamble can be obtained. It has been advantageously discovered that a correction can be made to find the correct sampling position from a corrupted correlation pulse. For example, in the case of an SFN channel, the correlation pulse may be badly corrupted.
a) illustrates an ideal case correlator output at 0 dB echo,
In the exemplary compensation approach, decision logic is provided that detects the first rising edge in the correlator output and then takes into account the corrupted pulse shape in the case of SFN channels. An algorithm is provided where the first step is to calculate a derivative of a measure that observes the change in the correlator output between samples, where the samples are separated by a distance D:
s
n
=abs(cn+D)−abs(cn) (16)
where cn is the correlator output.
Next, the receiver finds the first sample that exceeds a threshold that is a certain percentage p of the maximum value of sn. Finally, the resulting sampling position is corrected by D and a constant K:
The exemplary DVB-T2 receiver implementations described above and particularly the receiver implementations illustrated in
Embodiments of the present invention provide solutions to a DVB-T2 preamble receiver function. Timing offsets and frequency offsets in received OFDM preamble signal are estimated and compensated for, using the parts A, C and B of the preamble P1. A receiver uses the parameters in the preamble P1 symbol to receive signals including parameters in the preamble P2 symbol and then using these parameters, receives data on a DVB-T2 channel. The exemplary embodiments of the present invention as presented herein address how to provide the receiver including a DVB-T2 functionality at a minimum cost and with little wasted system resources.
The exemplary embodiments and methods described for comprehension of the features and advantages of the invention presented herein are not limiting. One skilled in the art will recognize that various known substitutions can be made while still performing the exemplary methods. Such substitutions and obvious modifications are contemplated as additional embodiments of the invention and are within the scope of the appended claims.