CN111064684B - Uplink spatial modulation single carrier frequency domain joint equalization method - Google Patents

Uplink spatial modulation single carrier frequency domain joint equalization method Download PDF

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CN111064684B
CN111064684B CN201911422425.0A CN201911422425A CN111064684B CN 111064684 B CN111064684 B CN 111064684B CN 201911422425 A CN201911422425 A CN 201911422425A CN 111064684 B CN111064684 B CN 111064684B
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于启月
张翼鹏
孟维晓
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Harbin Institute of Technology
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/36—Modulator circuits; Transmitter circuits
    • H04L27/361—Modulation using a single or unspecified number of carriers, e.g. with separate stages of phase and amplitude modulation
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03891—Spatial equalizers

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Abstract

The invention discloses an uplink space modulation single carrier frequency domain joint equalization method, belongs to the technical field of communication signal detection, and aims to solve the problem that the existing space modulation technology has limitation at a receiver end. The transmitter user adopts a space modulation method to add the information to be transmitted into the cyclic prefix and then passes through N T One of the root antennas transmits; information on different antennas is sent to a receiver user through different frequency selective fading channels; the receiver user performs fast Fourier transform on the received information and performs N in the frequency domain R Joint equalization of root antennas; and the receiver user adopts inverse fast Fourier transform to carry out maximum likelihood detection, thereby realizing the joint equalization process. The invention is used for spatial modulation of the uplink.

Description

Uplink spatial modulation single carrier frequency domain joint equalization method
Technical Field
The invention relates to a spatial modulation single carrier frequency domain joint equalization method for an uplink, belonging to the technical field of communication signal detection.
Background
The spatial modulation is a novel modulation technology, and fully utilizes the channel state information contained in different antenna resources to transmit information, so that compared with the traditional modulation technology, the channel capacity of the system is increased.
At present, most of the research on spatial modulation systems is performed in a flat fading channel, and in a Frequency selective fading channel, spatial modulation and an OFDM (Orthogonal Frequency Division Multiplexing) technology are mostly combined, but in an actual communication process, the OFDM modulation technology has a large synchronization difficulty and is only suitable for downlink information transmission, and most of the combination of the spatial modulation and the OFDM technology is simply cascaded at a system level, and a joint design is not performed at a receiver end.
Disclosure of Invention
The invention aims to solve the problem that the existing spatial modulation technology has limitation at a receiver end, and provides an uplink spatial modulation single carrier frequency domain joint equalization method.
The invention relates to an uplink space modulation single carrier frequency domain joint equalization method, wherein a transmitter user of the joint equalization method comprises N T Root antenna, receiver user N R Root antenna, N R ＝N T The specific process comprises the following steps:
s1, a transmitter user adds information to be transmitted into a cyclic prefix by adopting a spatial modulation method and then passes through N T One of the root antennas transmits;
s2, information on different antennas is sent to a receiver user through different frequency selective fading channels;
s3, the receiver user carries out fast Fourier transform on the received information and carries out N in the frequency domain R Joint equalization of root antennas;
and S4, the receiver user performs maximum likelihood detection on the result obtained in the S3 by adopting inverse fast Fourier transform to realize a joint equalization process.
Preferably, S1 the transmitter user adds the information to be transmitted to the cyclic prefix and then passes through N by using a spatial modulation method T The specific method for transmitting by one of the root antennas is as follows:
s1-1, the data sequence of the information to be transmitted is { x n H, data sequence x n N is more than or equal to 0 and less than or equal to N-1, and N is more than or equal to L; the L represents the length of the cyclic prefix CP,
Figure BDA0002348570330000025
indicating the number of resolvable paths of the information received by the receiver; k is a radical of T The antenna representing the information transmitted by the user of the transmitter is kth T Root antenna, k T ＝1,2,…,N T ；
Data sequence u with cyclic prefix CP added m Satisfies:
u m ＝x (N-L+m)mod(N) ,0≤m≤N+L-1；
s1-2, data sequence { u m Performing spatial modulation to obtain modulated information V:
Figure BDA0002348570330000021
v is to be m Transmitting through an antenna:
Figure BDA0002348570330000022
preferably, S3, the receiver user performs fast fourier transform on the received information, and performs N in the frequency domain R The specific method of the root antenna joint equalization is as follows:
s2-1, the information r received by the receiver user is:
Figure BDA0002348570330000023
wherein V (: k) represents the kth column vector of V,
n k is a Gaussian white noise vector of (N + L-1) x 1,
Figure BDA0002348570330000026
Figure BDA0002348570330000024
the matrix of the frequency selective fading channel is:
Figure BDA0002348570330000031
Figure BDA0002348570330000032
for the kth user from the transmitter T K-th arrival of antenna at receiver user R The multi-path channel gain coefficient vector of the root antenna has the length of L +1,
Figure BDA0002348570330000033
for the kth user from the transmitter T K-th arrival of antenna at receiver user R Channel gain coefficients on the nth resolvable path among the multipath channel gains of the root antenna,
k R the antenna indicating the receiver user to receive the information is the kth antenna R Root antenna, k R ＝1,2,…,N R ；
S2-2, receiving a signal r with the length of N + L by a receiver user k Do the cyclic prefix removal processing, i.e. delete { r m The first L data of the sequence are obtained, and the sequence y to be equalized with the length of N is obtained k To y for k Is subjected to fast Fourier transform to obtain
Figure BDA0002348570330000034
By
Figure BDA0002348570330000035
Forming a new received vector y FFT ：
Figure BDA0002348570330000036
S2-3, k is more than or equal to any 1 R ≤N R ,1≤k T ≤N T ，
Figure BDA0002348570330000037
Is obtained by fast Fourier transform
Figure BDA0002348570330000038
Forming a frequency domain channel state information matrix H FFT ：
Figure BDA0002348570330000039
S2-4, using frequency domain channel state information matrix H FFT For y FFT Performing multi-antenna combined frequency domain equalization:
Figure BDA00023485703300000310
when zero-forcing equalization technique is employed, W = (H) FFT ) -1 ，
When the minimum mean square error technique is employed,
Figure BDA0002348570330000041
wherein N is 0 Is the noise single-side power spectral density, and I is the unit matrix.
Preferably, in S4, the specific method for performing maximum likelihood detection on the result obtained in S3 by the receiver user through inverse fast fourier transform includes: for vector
Figure BDA0002348570330000042
Each element of (a) is subjected to maximum likelihood detection to obtain an output:
Figure BDA0002348570330000043
the invention has the advantages that: the uplink spatial modulation single carrier frequency domain joint equalization method provided by the invention combines an uplink frequency selective channel (SM) system with a single carrier frequency domain equalization technology by establishing an SM system model, and provides a joint SM-SC-FDE equalization technology. The single carrier frequency domain equalization technology is adopted, the difficulty of uplink synchronous receiving is reduced, and meanwhile, the receiver adopts a joint demodulation algorithm, so that the complexity of the receiver is reduced while the performance of a space modulation system under a frequency selective fading channel is improved.
Drawings
Fig. 1 is a schematic block diagram of a method for uplink spatial modulation single carrier frequency domain joint equalization according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
The invention is further described with reference to the following drawings and specific examples, which are not intended to be limiting.
The first embodiment is as follows: the following describes the present embodiment with reference to fig. 1, and the transmitter user of the present embodiment includes N T Root antenna, receiver user comprising N R Root antenna, N R ＝N T The specific process comprises the following steps:
s1, a transmitter user adds information to be transmitted into a cyclic prefix by adopting a spatial modulation method and then passes through N T One of the root antennas transmits;
s2, information on different antennas is sent to a receiver user through different frequency selective fading channels;
s3, the receiver user carries out fast Fourier transform on the received information and carries out N in the frequency domain R Joint equalization of root antennas;
and S4, the receiver user performs maximum likelihood detection on the result obtained in the S3 by adopting inverse fast Fourier transform to realize a joint equalization process.
Further, S1, the transmitter user adds the information to be transmitted to the cyclic prefix by adopting a space modulation method and then passes through N T The specific method for transmitting by one of the root antennas is as follows:
s1-1, the data sequence of the information to be transmitted is { x n }, data sequence { x n N is more than or equal to 0 and less than or equal to N-1, and N is more than or equal to L; the L represents the length of the cyclic prefix CP,
Figure BDA0002348570330000054
indicating the number of resolvable paths of the information received by the receiver; k is a radical of T The antenna representing the information transmitted by the user of the transmitter is the kth antenna T Root antenna, k T ＝1,2,…,N T ；
Data sequence u with cyclic prefix CP added m Satisfy:
u m ＝x (N-L+m)mod(N) ,0≤m≤N+L-1；
s1-2, data sequence { u m Performing spatial modulation to obtain modulated information V:
Figure BDA0002348570330000052
v is to be m Transmitting through an antenna:
Figure BDA0002348570330000053
still further, S3, the receiver user performs fast Fourier transform on the received information, and performs N in the frequency domain R The specific method of the root antenna joint equalization is as follows:
s2-1, the information r received by the receiver user is:
Figure BDA0002348570330000061
wherein V (: k) represents the k column vector of V,
n k is a Gaussian white noise vector of (N + L-1) x 1,
Figure BDA0002348570330000068
Figure BDA0002348570330000062
the matrix of the frequency selective fading channel is:
Figure BDA0002348570330000063
Figure BDA0002348570330000064
for the kth user from the transmitter T K-th arrival of a root antenna at a receiver user R The multi-path channel gain coefficient vector of the root antenna has the length of L +1,
Figure BDA0002348570330000065
for the kth user from the transmitter T K-th arrival of a root antenna at a receiver user R Channel gain coefficients on the nth resolvable path among the multipath channel gains of the root antenna,
k R the antenna indicating the reception of information by the user of the receiver is the kth antenna R Root antenna, k R ＝1,2,…,N R ；
S2-2, receiving the signal r with the length of N + L by a receiver user k Do the cyclic prefix removal processing, i.e. delete { r m The first L data of the sequence are obtained, and the sequence y to be equalized with the length of N is obtained k To y for k Is subjected to fast Fourier transform to obtain
Figure BDA0002348570330000066
By
Figure BDA0002348570330000067
Forming a new received vector y FFT ：
Figure BDA0002348570330000071
S2-3, k is more than or equal to any 1 R ≤N R ,1≤k T ≤N T ，
Figure BDA0002348570330000072
Is obtained by fast Fourier transform
Figure BDA0002348570330000073
Forming a frequency domain channel state information matrix H FFT ：
Figure BDA0002348570330000074
S2-4, using frequency domain channel state information matrix H FFT For y FFT Performing multi-antenna combined frequency domain equalization:
Figure BDA0002348570330000075
when zero-forcing equalization technique is employed, W = (H) FFT ) -1 ，
When the minimum mean square error technique is employed,
Figure BDA0002348570330000076
wherein N is 0 Is the noise single-side power spectral density, and I is the unit matrix.
Still further, the specific method for performing maximum likelihood detection on the result obtained in S3 by the receiver user using inverse fast fourier transform in S4 is as follows: for vector
Figure BDA0002348570330000077
Each element of (a) is subjected to maximum likelihood detection to obtain an output:
Figure BDA0002348570330000078
in the invention, the combined SM-SC-FDE equalization technology is adopted to equalize signals. The core idea of SC-FDE detection is to transform a complex deconvolution process that needs to be performed in the time domain to the frequency domain when a signal reaches a receiver end through a frequency selective fading channel for channel equalization through fast fourier transform, and to simplify operations through fast fourier transform. The combined SM-SC-FDE detection technology combines fast Fourier transform and spatial modulation, improves the performance of the spatial modulation under a frequency selective fading channel, and reduces the complexity of a receiver.
Although the invention herein has been described with reference to particular embodiments, it is to be understood that these embodiments are merely illustrative of the principles and applications of the present invention. It is therefore to be understood that numerous modifications may be made to the illustrative embodiments and that other arrangements may be devised without departing from the spirit and scope of the present invention as defined by the appended claims. It should be understood that various dependent claims and the features described herein may be combined in ways different from those described in the original claims. It is also to be understood that features described in connection with individual embodiments may be used in other described embodiments.

Claims (3)

1. Uplink spatial modulation single carrier frequency domain joint equalization method, characterized in that a transmitter user of the joint equalization method comprises N T Root antenna, receiver user N R Root antenna, N R ＝N T The specific process comprises the following steps:
s1, a transmitter user adds information to be transmitted into a cyclic prefix by adopting a spatial modulation method and then passes through N T One of the root antennas transmits;
s2, information on different antennas is sent to a receiver user through different frequency selective fading channels;
s3, receivingThe machine user performs fast Fourier transform on the received information and performs N in the frequency domain R Joint equalization of root antennas;
s4, the receiver user performs maximum likelihood detection on the result obtained in the S3 by adopting inverse fast Fourier transform to realize a joint equalization process;
s3, the receiver user carries out fast Fourier transform on the received information and carries out N in the frequency domain R The specific method of the root antenna joint equalization is as follows:
s2-1, the information r received by the receiver user is:
Figure FDA0003641021480000011
wherein V (: k) represents the k column vector of V,
n k is a Gaussian white noise vector of (N + L-1) x 1,
Figure FDA0003641021480000012
Figure FDA0003641021480000013
the matrix of the frequency selective fading channel is:
Figure FDA0003641021480000014
Figure FDA0003641021480000021
for the kth user from the transmitter T K-th arrival of antenna at receiver user R The multi-path channel gain coefficient vector of the root antenna has the length of L +1,
Figure FDA0003641021480000022
for the kth user from the transmitter T K-th arrival of antenna at receiver user R The channel gain coefficient on the nth resolvable path among the multipath channel gains of the root antenna,
k R the antenna indicating the reception of information by the user of the receiver is the kth antenna R Root antenna, k R ＝1,2,…,N R ；
S2-2, receiving a signal r with the length of N + L by a receiver user k Do the cyclic prefix removal processing, i.e. delete { r m The first L data of the sequence are obtained, and the sequence y to be equalized with the length of N is obtained k To y for k Is obtained by fast Fourier transform
Figure FDA0003641021480000023
By
Figure FDA0003641021480000024
Forming a new received vector y FFT ：
Figure FDA0003641021480000025
S2-3, k is more than or equal to any 1 R ≤N R ,1≤k T ≤N T ，
Figure FDA0003641021480000026
Is obtained by fast Fourier transform
Figure FDA0003641021480000027
Forming a frequency domain channel state information matrix H FFT ：
Figure FDA0003641021480000028
S2-4, using frequency domain channel state information matrix H FFT To y FFT Performing multi-antenna combined frequency domain equalization:
Figure FDA0003641021480000029
when zero-forcing equalization technique is employed, W = (H) FFT ) -1 ，
When the minimum mean square error technique is employed,
Figure FDA00036410214800000210
wherein N is 0 Is the noise single-side power spectral density, and I is the unit matrix.
2. The uplink spatial modulation single-carrier frequency domain joint equalization method according to claim 1, characterized in that the transmitter user of S1 adopts a spatial modulation method, adds a cyclic prefix to information to be transmitted, and passes through N T The specific method for transmitting by one of the root antennas is as follows:
s1-1, the data sequence of the information to be transmitted is { x n H, data sequence x n N is more than or equal to 0 and less than or equal to N-1, and N is more than or equal to L; the L represents the length of the cyclic prefix CP,
Figure FDA0003641021480000031
Figure FDA0003641021480000032
indicating the number of resolvable paths of the information received by the receiver; k is a radical of T The antenna representing the information transmitted by the user of the transmitter is the kth antenna T Root antenna, k T ＝1,2,…,N T ；
Data sequence u with cyclic prefix CP added m Satisfy:
u m ＝x (N-L+m)mod(N) ,0≤m≤N+L-1；
s1-2, data sequence { u m Performing spatial modulation to obtain modulated information V:
Figure FDA0003641021480000033
v is to be m Transmitting through an antenna:
Figure FDA0003641021480000034
3. the uplink spatial modulation single-carrier frequency-domain joint equalization method according to claim 1, wherein the specific method for the receiver user to perform maximum likelihood detection on the result obtained in S3 by using inverse fast fourier transform in S4 is as follows: for vector
Figure FDA0003641021480000035
Each element of (a) performs maximum likelihood detection to obtain an output:
Figure FDA0003641021480000036
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