1. Field of the Invention
The present invention relates to a method and apparatus for reception of Bluetooth signals, and more especially, to a method and apparatus for reception of long-range signals in Bluetooth.
2. Background of the Related Art
The Bluetooth standard distinguishes devices by their so-called power class {[IEEE 802.15.1], [BT SIG 1.2], [BT SIG EDR]}. For each power class, a maximum output power (Pmax), a nominal output power and a minimum output power is specified as shown in Table 1.
The Bluetooth technology is intended to implement wireless personal area networks (WPAN). Therefore, the typical range of Bluetooth devices is expected to be limited to about 10 meters. Bluetooth devices according to power class 1, however, are capable to transmit over a range significantly larger than the so-called personal operating space (POS) of about 10 meters.
[IEEE 802.15.1]: the IEEE Std 802.15.1-IEEE Standard for Information technology Telecommunications and information exchange between systems Local and metropolitan area networks Specific requirements-Part 15.1: Wireless Medium Access Control (MAC) and Physical Layer (PHY) Specifications for Wireless Personal Area Networks (WPANs), 14 Jun. 2002.
[BT SIG 1.2]: Bluetooth SIG Specification of the Bluetooth System, Version 1.2, 5 Nov. 2003.
[BT SIG EDR]: Bluetooth SIG Specification of the Bluetooth System with EDR, Version 2.0, 4 Nov. 2004.
Sensitivity Performance in Bluetooth
In [BT SIG EDR], a reference sensitivity level of −70 dBm is given for an uncoded bit error rate (BER) of 0.0001 (0.01%). In
Path Loss in Bluetooth
The signal power received by a Bluetooth device depending on the signal power transmitted by another Bluetooth device is given by Equation 1:
PRX=PXT−Lpath−LFade+GTX+GRX (1)
with
PRX: received signal power
PTX: transmitted signal power
LPath: path loss
LFade: fade margin
GTX: received antenna gain
GRX: transmit antenna gain
The following assumptions are applied in Equation 2 and Equation 3:
GTX=GRX=0 dBi (2)
LFade=8 dB (3)
Therefore, based on Equation 1 and Equation 2, the path loss is given by Equation 4:
LPath=PTX−PRX−8 dB (4)
The transmitted signal power under consideration (maximum signal power) is in Equation 5:
PTXPTX,max=20 dBm (Power class 1 device) (5)
The received signal power under consideration (minimum signal power) is given by Equation 6:
PRXPRX,min=NFloor+W+SNRRX+NFRX (6)
with
PTX,max: maximum transmit power
PRX,min: minimum received power
NFloor: noise floor due to thermal noise
W: noise bandwidth
SNRRX: signal-to-noise-ratio required for BER=0.0001 for D8PSK
NFRX: receiver noise figure
The noise floor due to thermal noise amounts to −174 dBm per Hz signal bandwidth. The signal bandwidth for Bluetooth technology equals 1 MHz. The receiver noise figure is assumed to be 20 dB.
The minimum signal power can now be computed by Equation 7:
The maximum path loss based on maximum transmit signal power and minimum received signal power and fade margin based on Equation 4 is now given by Equation 8:
It follows that the maximum path loss for a Bluetooth device of power class 1 equals 81 dB. For power class 2 and power class 3, the maximum path loss amounts to 73 dB and 69 dB, respectively.
On Transmission Range in Bluetooth
The path loss depending on the transmission range for line-of-sight (LOS) conditions in a Bluetooth network is given by Equation 9:
or by Equation 10 approximately
LPath=40+20 log(R) (10)
with
R: transmission range in [meters]
λ: wavelength of transmission signal
The path loss depending on the transmission range for non-line-of-sight (NLOS) conditions in a Bluetooth network is given by Equation 11:
or Equation 12 approximately
Lpath=25.3+36 log(R) (12)
Equation 9, by Equation 10, Equation 11 and Equation 12 are visualized in
On Multipath Propagation in Bluetooth
In Bluetooth, the symbol rate equals 1 Msps while the symbol duration TSymbol equals 1 μs (1000 ns). According the radio propagation theory, a radio frequency signal propagates 300 m in 1 μs (3e8 meters per second). The maximum echo delay (1st versus 2nd echo) based on the maximum transmission range is given by Equation 13:
It follows that for a maximum transmission range Rmax of 113 meters a maximum echo delay of 377 ns is obtained.
For power class 2 and power class 3, 60 ns and 37 ns are obtained, respectively.
Multipath propagation results in inter-symbol interference (ISI). The amount of ISI introduced depends on the number and power of all echo paths following the first arriving path.
Using the result from Equation 13, one gets a maximum ISI percentage shown in Equation 14:
For power class 2 and power class 3, 6% and 3.7% are obtained, respectively.
The ISI is modelled as an echo path having a relative power (with regards to the first arriving path) equal to ISImax. With that assumption, a worst-case multipath channel profile with a 1 st (obstructed) path @ 0 dB w/delay of 0 samples and a 2nd path (echo) @ 10*log10(0.377)=−4.24 dB w/delay of 1 sample (1 μs).
The 2-path multipath propagation model for Bluetooth long transmission range applications is shown in
Impact of Multipath Propagation on Bluetooth Demodulation Performance
In
For the 2-path multipath propagation model, the power of the second path is varied relative to the first arriving path. For the exponential multipath propagation model, the RMS delay spread is varied.
In
In
In
In
It was also shown that even for very moderate multipath propagation, no reliable data transmission using Bluetooth technology is possible. That is due to the inter-symbol interference (ISI) introduced by multipath propagation. Current (state-of-the-art) Bluetooth receivers are not capable of mitigating the unfavorable impact of ISI on the data demodulation in Bluetooth.
It is concluded that with current (state-of-the-art) Bluetooth receivers, no reliable data transmission is possible with regards to transmission ranges provided the transmission power of power class 1 devices.
In order to solve the problems mentioned above, the present invention provides a method and apparatus for reception of long-range signals in Bluetooth. The present invention processes Bluetooth signals with linear minimum mean square error (MMSE) frequency-domain equalization (FDE) in single carrier (SC) system using a Fourier Transform and provides long transmission range Bluetooth service with reliable data transmission.
The present invention improves the performance of Bluetooth service based on power class 2 and 3 devices in multipath environment.
The present invention provides FFT/IFFT-based MMSE SC FDE receiver architecture for all Bluetooth transmission modes for low-complexity and high-performance
The present invention is used in multi-standard devices in efficient implementation by reuse of the FFT/IFFT circuitry
To achieve the purpose mentioned above, one embodiment of the present invention provides a method for reception of long-range signals in Bluetooth is for all transmission modes on power class 1, power class 2 and power class 3, the method comprising: receiving Bluetooth signals; and processing signals with linear frequency-domain equalization (FDE) in single carrier (SC) system using a Fourier Transform.
Furthermore, another embodiment of the present invention provides an apparatus for reception of long-range signals in Bluetooth is for all transmission modes on power class 1, power class 2 and power class, the apparatus comprising: a first equalizer receiving and processing first packet data; a first GPSK demodulator receiving first packet data from first equalizer and demodulating first packet data; an root-raised-cosine (RRC) filter, downsampling second packet data to produce third packet data and fourth packet data; a second equalizer, receiving and processing third packet data and fourth packet data; a Pi/4-DQPSK demodulator receiving third packet data from second equalizer and demodulating third packet data; and an 8-DPSK demodulator receiving fourth packet data from second equalizer and demodulating fourth packet data.
The file of this patent contains at least one drawing executed in color. Copies of this patent with color drawing(s) will be provided by the Patent and Trademark Office upon request.
The foregoing aspects and many of the accompanying advantages of this invention will becomes more readily appreciated as the same becomes better understood by reference to the following detailed description, when taken in conjunction with the accompanying drawings, wherein:
As an invention, the use of equalization is proposed for Bluetooth data communication.
While ISI mitigation by equalization is well-known in state-of-the-art digital wireless communications engineering, this invention proposes the use of a new FDE adapted to SC transmission without a GI or CP. The proposed FDE very successfully mitigates ISI while being very implementation-friendly.
The resulting performance of long transmission range Bluetooth service based on power class 1 devices using BlueWARP technology is beyond state-of-the-art Bluetooth service based on power class 1 devices.
In the following, a generalized system model is introduced. The model is similar to the one proposed in [Klein].
At the transmit side, a block (vector) d of data of length N is formed in Equation 15:
d=(d1, d2 . . . dN)T (15)
Any coding, modulation or spreading is assumed to be included in d already. The data block is transmit through a channel characterized by its impulse response h in Equation 16:
h=(h1, h2 . . . hW)T (16)
The convolution of d and h is expressed in matrix notation using the matrix H in Equation 17:
H=(Hi,v),i=1 . . . N+W−1,v=1 . . . N (17)
with Equation 18:
The received signal r is given by Equation 19:
where n denotes an additive white Gaussian noise sequence with zero mean and covariance matrix Rnn.
Using (block) linear equalization technique for SC systems, an estimate of the transmit data is obtained using one of the following criteria.
Equation 20: Matched Filter (MF) Criterion
{circumflex over (d)}MF=HH·r (20)
Equation 21: Zeros Forcing (ZF) Criterion
{circumflex over (d)}ZF=(HH·H)−1·HH·r (21)
Equation 22: Minimum Mean Square Error (MMSE) Criterion
{circumflex over (d)}MMSE=(HH·H+σ2)−1·HH·r (22)
Typically, the MMSE criterion yields superior results. Therefore, only the MMSE criterion is pursued. Nevertheless, all newly proposed receiver architectures are applicable as well to MF or ZF equalization.
Single Carrier Linear MMSE Frequency-Domain Equalization Using FFT without Guard Period
In order to avoid complex receiver processing tasks such as Cholesky decomposition for solving Equation 22, the (block) linear MMSE equalization for SC systems can be performed efficiently in frequency domain expressed in Equation 23 and Equation 24:
where F denotes the Discrete Fourier Transform (DFT), F−1 denotes the Inverse Discrete Fourier Transform (IDFT).
For actual implementations, DFT and IDFT are realized by Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT), respectively.
Hinv in Equation 23 can be interpreted as the frequency response of a transversal linear equalizer filter which time (impulse) response has to be convolved with the received signal r. The filter can be categorized as an IIR filter. Therefore, the filter length is infinite. However, a length can be defined which contains most of the large coefficients and neglects small coefficients. The length of this approximated equalizer filter is denoted by Leq.
The length of the received data blocks varies significantly depending on packet type and service. A fixed-length FFT/IFFT implementation based on the maximum data block length N of all packet types and services to be integrated in the receiver architecture would not be efficient. Also, N can be rather large (>2^13) which would require to implement a very large FFT (>8 k). However, it is well-known that convolution (e.g. filtering) operations for continuous data streams or long blocks of data can be implemented efficiently using overlap-add-technique (OAT) FFT or overlap-save-technique (OST) FFT algorithms. The further description focuses on OAT FFT.
As suggested in [Falconer], FDE for SC systems requires a GI to be inserted at the transmitter. The following method, however, allows to apply FFT-based FDE as well for systems without GI.
An M-point FFT (M=8, 16, 32, 64) is assumed. For every M-point FFT/IFFT based convolution operation, a length M-Leq output data block is generated. The start index within the data block is advanced by M-Leq samples per FFT-IFFT operation.
The single FFTs/IFFTs overlap by Leq samples. Therefore, Leq<M/2 must hold. For such short FFT/IFFT sizes, the approximated equalizer filter must be limited which can be accomplished either by circular convolution with a rectangular window transformed into frequency domain RW (see equation 26) or by multiplication with a rectangular window rw in time domain (see equation 25). The latter approach requires one additional frequency-time and time-frequency conversion. The extended versions of Equation 23 are given below:
denotes circular convolution.
Also, hinv must be shifted into the correct position. Performing this operation in frequency domain corresponds to rotating Hinv with phasors having an angle increasing with every sample of Hinv
In FIG 10, the entire processing flow of ĥyielding Hinv is depicted:
S01: FFT on estimated channel impulse response
S02: conjugate complex operation on Ĥ
S03: Multiplication of Ĥ with conj(Ĥ)
S04: Addition of Ĥ·Ĥ• with σ2
S05: Division of Ĥ• by Ĥ·Ĥ•+σ2.
S06: Multiplication with phasors
S07: Circular convolution with
SC Linear MMSE FDE
In
In order to apply OAT for equalization, hinv has to be shortened to the overlap length M/2. This shortened hinv is constructed using the last quarter of samples of hinv and appending the first quarter of samples of hinv to it.
In
Bluetooth Demodulation Performance in Multipath Propagation Using SC Linear MMSE FDE
In
For the 2-path multipath propagation model, the power of the second path is varied relative to the first arriving path.
In
In
In
In
It was shown that for Bluetooth SC linear MMSE FDE can be used to efficiently mitigate severe ISI introduced by multipath propagation (second path as high as −3 dB (10 log10(0.5)). In addition, it was demonstrated that using FFT sizes as small as M=16 still allow for equalization (and therefore demodulation) performance within 2 dB of the optimum performance using M=128.
Integration with a Bluetooth Receiver
In this section, it is described how to integrate the SC linear MMSE FDE into a Bluetooth receiver. The integration is described on a conceptual system level.
The SC linear MMSE FDE is assumed to be used for EDR only. However, it can also be used for Basic Rate without modifications.
In
In
In
The key in the description of the (simplified) processing flow in a Bluetooth receiver applying BlueWARP technology is the positioning of SC linear MMSE FDE directly before Pi/4-DQPSK demodulation or D8PSK demodulation.
Accordingly, one of features of the present invention is to provide a method for reception of long-range signals in Bluetooth. The method has outstanding performance of long transmission range Bluetooth service based on power class 1 devices and performance improvement of Bluetooth service based on power class 2 and 3 devices in multipath environment.
Accordingly, one embodiment of the present invention provides a apparatus for reception of long-range signals in Bluetooth. The Low-complexity/high-performance FFT/IFFT-based MMSE SC FDE receiver architecture is used for all Bluetooth transmission modes and has highly efficient implementation by reuse of the FFT/IFFT circuitry in the context of multi-standard devices,
Although the present invention has been explained in relation to its preferred embodiment, it is to be understood that other modifications and variation can be made without departing the spirit and scope of the invention as hereafter claimed.
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Number | Date | Country | |
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20070270098 A1 | Nov 2007 | US |