1. Field of the Invention
The present invention relates to a transmitter and a receiver, which are used for an MC-CDMA system based on a multi-carrier CDMA (hereinafter referred to as MC-CDMA) method.
2. Description of the Related Art
In a mobile radio communication, attention is focused, as an ultra-high speed radio access technology in a frequency selectivity fading environment, to the MC-CDMA system which results from the merging of the OFDM method and the CDMA method. This system is a system in which to transmit a transmitting signal, it is multiplied by the code sequence, proper to each user, in a frequency domain to be spread and split into a plurality of subcarriers (see “Application of OFDM Modulation Method”, written by Wataru Matsumoto and Hideki Ochiai, Triceps Corporation, 2001).
A conventional configuration containing a transmitter and a receiver in this system is shown in
In
In the MC-CDMA system thus constructed, the Walsh code has been used for the spreading code. Where such a spreading signal is used, however, when it receives the influence of the delay wave, the spreading codes of the users lose their orthogonality. Its influence affects plural users, and the error rate characteristic is deteriorated. To cope with this, there are proposed an orthogonality restoring combining (ORC) method which uses for composition the weight factors at the time of demodulation, and a minimum mean square error combining (MMM) method. And it is confirmed that those proposals are effective for the measure (see, N. Yee, and J P. Linnartz,” Controlled Equalization of Multicarrier CDMA In Indoor Rician Fading Channel”, “Proc. IEEE VTC” 94, pp. 1665-1669, 1994; A. Chouly, A. Brajal, and S. Jourdan, “Orthogonal multicarrier techniques applied to direct sequence spread spectrum CDMA systems,” Proc. IEEE GLOBECOM, '93, pp 1723-1728, September 1999; and S. Hara and R. Prasad, “Design and Performance of
Multicarrier CDMA systems in Frequency-Selective Rayleigh Fading Channels”, “IEEE Trans. Veh. Technol., Vol. 48, pp 1584-1595, September 1999).
Also in such methods, however, in case where the multiplex number increases, it is impossible to completely keep orthogonality, and the BER characteristic is deteriorated by the inter-channel interference.
Accordingly, an object of the present invention is to provide an MC-CDMA transmitter and an MC-CDMA receiver, each of which uses novel orthogonal spreading codes which cause the effect of the delay wave to appear in only a specific user.
To solve the above problems, a transmitter multiplies a sinusoidal signal, which, in a frequency domain, has an amplitude of r and is orthogonal as a result that the frequency periods are different among users by the real part component and the imaginary part component of a transmitting signal to be spread and split into orthogonal sub-carriers thereby to multiplex the sub-carriers, and transmits the multiplexed one.
Also in a receiving side, a receiver receives a transmitting signal from the transmitter in a manner that a sinusoidal signal, which has an amplitude of r and is orthogonal as a result that the frequency periods are different among users, is multiplied by the receiving signal in a frequency domain, and the resultant is inversely spread.
For the spreading code, a spreading code is coincident with another spreading code with respect to a delay time of a delay wave.
By so doing, the delay wave affects only the user corresponding to a delay time thereof. In case where the multiplex number is small, the inter-channel interference is eliminated by changing the data arrangement. Also in case where the multiplexer number is large, it is possible to make the likelihood estimation by using the viterbi algorithm.
In the invention thus constructed, in the transmitter side, a spreading process and a multiplexing process are carried out by using an inverse Fourier transform such as MIT. In the receiving side, an despreading process is carried out by using a Fourier transform such as FFT.
By so doing, the spreading process and the multiplexing process, which are separately performed in the transmitting side, can be processed in batch by the FFT. In the receiving side, where the conventional technology is used, to extract data, the receiving signal must correlate with each spreading code. However, in the invention, the receiving data can be extracted in batch by the FFT. This simplifies the process.
Further, a spreading process and a multiplexing process are carried out by using an inverse Fourier transform, and then the sub-carriers are shifted in phase by using a phase mask. In connection with this, also in the receiver side, the phase of each sub-carriers is reset by using a phase mask, and then the resultant is inversely spread by a Fourier transform.
When the spreading process and the multiplexing process are carried out by using an inverse Fourier transform, and then inversely Fourier transformed, the resultant data is the not spread data of which the order of the data is merely changed. On the other hand, if the sub-carriers are shifted in phase by using a phase mask, and inversely Fourier transformed, the signal at the time of transmission is spread in time. And, if in the receiver side, the phases of the sub-carriers are reset by a known phase mask, the transmitting signal is restored to its original state.
An MC-CDMA system of the invention includes: a transmitter which multiplies a transmitting signal by a sinusoidal signal, which has an amplitude of r and is orthogonal as a result that the frequency periods are different among users, in a frequency domain to be spread and split into orthogonal sub-carriers, and multiplexes the sub-carriers; and a receiver for receiving a transmitting signal from the transmitter in a manner that a sinusoidal signal, which has an amplitude of r and is orthogonal as a result that the frequency periods are different among users, is multiplied by the transmitting signal in a frequency domain, and the resultant is despread. The delay wave affects only the user corresponding to a delay time thereof. In case where the multiplex number is small, the inter-channel interference is eliminated by changing the data arrangement. Also in case where the multiplexer number is large, it is possible to make the maximum likelihood estimation by using the viterbi algorithm.
Further objects, features and advantages of the present invention will become apparent from the following description of the preferred embodiments (with reference to the attached drawings).
An embodiment of the present invention will be described below with reference to the accompanying drawings.
Where spreading ratio L is 32, L=32, a group of orthogonal spreading codes, which is one of the features of the embodiment, as shown in
Assuming that c(0)(fm)=1, we have
This equation expresses the spreading code sequence.
The correlation of the proposed orthogonal spreading code group is 0 and the correlation among the users is 0. Therefore, orthogonality among the users can be obtained.
The Walsh code in the conventional system is a binary series of (−1,1). To spread the signal by using this code means “to arrange the data, which is copied by the spreading ratio, on the frequency axis, and to phase shift the data by (0, π). In this case, the phase of the signal is varied, but the amplitude remains unchanged. Accordingly, its spectrum takes a rectangular shape. In this connection, when the signal by the proposed orthogonal code is spread, the phase of a signal is varied since the real part component and the imaginary part component of the signal are sinusoidal signals. However, the spectrum is rectangular in shape as in the case of spreading using the Walsh code since the amplitude of the signal is fixed.
In the configuration of the transmitter in the conventional MC-CDMA system shown in
In the above equation, d(k) represents the data of a user k. The equation is equivalent to an inverse discrete Fourier transform (IDFT) equation when a discrete time signal is Vs (t) and a discrete frequency spectrum is Vs(f).
Therefore, a process for spreading and multiplexing the sub-carriers by using the proposed orthogonal code may be replaced with the IDFT, and the IFFT as a fast process of the former. In
The discrete Fourier transform is expressed by the following equation.
If f=−f′, then the equation 5 becomes
As seen, the difference between the IDFT and the DFT is the fact that the sign of the computing result is reversed. Therefore, if the IFFT as a fast process of the IDFT is performed two times, an MC-CDMA signal is obtained in which the user data is merely changed in time order. Such a signal produces no spreading effect.
To cope with this, the IFFT is executed in place of the spreading/multiplexing process. Then, the phases of the sub-carriers are made random by a phase mask before the IFFT is performed. The phase mask has a fixed amplitude and a random phase, and must be known in the transmitter and the receiver. This phase mask may be used as a code to distinguish it adjacent cells. When the phase mask is used, the MC-CDMA signal, when sent, is spread also in time. A configuration of a transmitter and a receiver in the MC-CDMA system, which uses the proposed spreading/multiplexing method and the phase mask, is shown in
In
A QPSK modulator part receives 2-bit data and outputs it in the form of a single symbol.
The transmitter under discussion is different from that in the conventional system (
The phase shift processing part shifts amplitude/phase information of the sub-carrier processed by the IFFT by an arbitrary value by means of a phase mask. The phase mask is such that an amplitude of it is invariable, and the phase is set at random value and is multiplied by each sub-carrier. In this way, the phases of the sub-carriers are varied, and then the second IFFT is performed. The next IFFT converts a signal output from the phase shift processing part from the frequency domain to a time domain. A pilot symbol insertion part, like the conventional one, inserts a pilot symbol for checking conditions of the propagation path in the demodulation side to the output signal.
A guard interval addition part, like the conventional one, is provided for the delay wave measure. When the FFT is performed in the demodulation side, the guard interval addition part, prevents a previous symbol from entering the sample. With provision of the guard interval, when delay occurs, the trailing part of a signal is located at the leading part of the signal. From this, it is recognized that the signal has been cyclically shifted by the delay.
On the other hand, the receiver receives a signal coming from the transmitter. A guard interval removal part removes the guard interval, and an FFT converts the signal in the time domain to a signal representing the spectrum in the frequency domain. A pilot symbol removal part extracts a pilot symbol for delay estimation and obtains a correlation by using a known transmission pilot symbol and a reception pilot symbol to thereby obtain ρkk and α ρkk. The spectrum from which the pilot symbol has been removed is multiplied by the phase mask which is used in the transmission side, whereby it is restored into its original state. Further, the next)T processes the despreading. A pilot symbol thus obtained is used as a temporary determination symbol. The maximum likelihood estimation based the viterbi algorithm is performed by using ρkk and α ρkk, thereby obtaining the demodulated data dr(k) of the user k.
Description is given about a relationship between the proposed orthogonal spreading code. One of the greatest features of the proposed orthogonal spreading code is that the inter-channel interference, which arises from the delay wave, is confined only to the spreading code of a specific user. In case where a delay wave is present, and amplitude of one delay wave is a and a delay time is M samples, the channel characteristic in the frequency region is given by
A delay wave component of a code C(k+M) allotted to a user k+M varies as expressed by
A relationship between the spreading codes of users 3 and 2 when a delay wave having a delay time of one sample is present is shown in
Description is given about a measure taken for the inter-channel interference, which is caused by a delay wave when this proposed orthogonal spreading code group is used.
In an MC-CDMA multiplexing environment, a symbol is composed by correlating a receiving signal R with a spreading code C(k), and hence, a demodulation symbol dr(k) of the user k is given by
In the equation, L is a spreading factor, ρkk is an autocorrelation value of the spreading code C(k), and Zn is Gaussian noise. This is a demodulation symbol when no influence by the delay wave is present. When the signal is affected by the interference by the delay wave (its amplitude is α, and its delay time is M samples), a spreading code which affects the demodulation symbol dr(k) of the user k when the proposed orthogonal spreading code is used is only the code of the use k+M. The demodulation symbol dr(k) is given by
d
r
(k)
=d
(k)ρkk+d(k+m)αρkk+Zn (Equation 10)
Where the conventional Walsh code is used, the signal is affected by the influence of one delay wave to interfere with a plurality of spreading codes. With use of the proposed orthogonal spreading code having the nature expressed by the equation 10, the spreading code affected by the delay wave is limited to a specific one. Two methods making use of such a nature will be described. A first method is a spreading code select method when the number of users is small, and a second method is a multi-user estimating method using the viterbi algorithm when the number of users is large.
A method of selecting a spreading code when the number of users is small will first be described. By using the proposed orthogonal spreading code, the interference by the delay wave component appears in only the spreading code based on the delay time. In other words, by selecting the spreading code so as to be less affected by the delay wave influence, the delay wave influence is lessened. Assuming that n=natural number, and k′=nk(k=1,2, . . . ,L−1), the proposed orthogonal spreading code sequence is expressed by the following equation
In this case, the signal is affected by the interference by the delay wave having a delay of nk samples. The number of simultaneously connected users decreases to L/n. When the spreading/multiplexing process is replaced with the IFFT, an equivalent measure may be taken if the data of the users are rearranged so that the IFFT point is taken every n points.
The multi-user estimating method using the viterbi algorithm when the number of users is large will be described.
If in the equation 10, the demodulation symbol dr(k) is time sequential, and ρkk and α ρkk are an impulse response, the equation 10 may be considered to express the inter-symbol interference. Accordingly, a method like the maximum likelihood sequence estimating method based on the viterbi algorithm is available.
If the demodulation symbol (dr(0), dr(1), . . . , dr(k), . . . , dr(K−1) is time sequential, a variation of the symbol from dr(k+M) to dr(k) is limited to the number of combinations of actual transmission symbols d(k+M) and d(k) by obtaining ρkk and a α ρkk by using the equation 10.
It is assumed that M (delay time)=1 sample and the modulation method is QPSK. In a case where the demodulation symbol of the use k is 00 (d(k)=00) in a state 00 (σn+1=d(k+1=00), if 00→1+j, d(k+1)=d(k)=−1+j. Hence, (−1 +j)ρkk+(−1+j)αρkk is a demodulation symbol.
In this way, transient states in the viterbi algorithm are obtained, metric calculations are sequentially performed to determine a surviving path, and a data sequence transmitted is obtained. In performing the metric calculation, it is necessary that the head symbol is known to the receiving side. The number of simultaneously connected users is decreased by 1.
A computer simulation will next be described. Simulation dimensions are first shown in Table 1.
In the transmission side, the data of the respective users, which are primarily modulated by the QPSK modulator parts, are arranged, the IFFT process is executed in place of the spreading/multiplexing process, the phases of the sub-carriers are set by the phase mask, and a pilot symbol, common to all the users, is inserted. Then, the IFFT is performed to produce an MC-CDMA time signal, and guard interval is inserted into the MC-CDMA time signal. In the receiving side, the guard interval is removed, and the FFT splits the receiving signal onto the frequency axis. The phases of the sub-carriers, which were set by the phase mask, are reset, and the FFT is performed in place of the inverse spread, thereby producing a composed demodulation symbol. This is used as a temporary determination symbol. A delay profile is obtained from a pilot symbol. The synchronous addition is performed several times to obtain the values of the ρkk and α ρkk. When the number of users in a static environment, the data arrangement of each user at the time of transmission is changed, the temporary determination symbol is directly a receiving symbol. Also in a fading environment, the influence by the delay wave is negligible. However, by correcting only the phase rotation of the direct wave by using ρkk, the receiving symbol is obtained. In a case where the number of users is large, maximum likelihood multi-user detection based on the viterbi algorithm is performed by using the temporary determination symbol and the ρkk and α ρkk. The symbol output is used as an estimation receiving symbol. BER performance vs. Eb/N0 (ratio of signal power per bit to noise power spectral density after information demodulation) in those cases were calculated by the simulation.
A BER performance vs. Eb/N0 in a static environment when a conventional MMSEC demodulation method is used, is shown in
A BER performance vs. Eb/N0 in case where a conventional MMSEC based demodulation method is used in a fading environment is shown in
A relationship between a DUR as a power ratio of the advance wave and the delay wave and an Eb/N0 ratio at which BER=10−3 is achieved when the multiplex number is 16 in each method, is shown in
While the present invention has been described with reference to what are presently considered to be the preferred embodiments, it is to be understood that the invention is not limited to the disclosed embodiments. On the contrary, the invention is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims. The scope of the following claims is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures and functions.
Number | Date | Country | Kind |
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2006-009005 | Jan 2006 | JP | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/JP2007/051022 | 1/17/2007 | WO | 00 | 7/16/2008 |