CN115913840A - MIMO high-speed underwater acoustic communication method based on vector array receiving - Google Patents

MIMO high-speed underwater acoustic communication method based on vector array receiving Download PDF

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CN115913840A
CN115913840A CN202211409349.1A CN202211409349A CN115913840A CN 115913840 A CN115913840 A CN 115913840A CN 202211409349 A CN202211409349 A CN 202211409349A CN 115913840 A CN115913840 A CN 115913840A
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mimo
channel
vector
receiving
frequency domain
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杜鹏宇
吴梦行
崔英桥
时相一
温梦华
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715th Research Institute of CSIC
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Abstract

The invention belongs to the technical field of underwater acoustic communication, and particularly relates to a MIMO high-speed underwater acoustic communication method based on vector array receiving.A transmitting terminal carries out serial-parallel conversion on an original information sequence to obtain M paths of original information to be transmitted, carries out PSK modulation on the M paths of information to be transmitted respectively and then utilizes M array elements to transmit the M paths of information in parallel; after a receiving signal of a receiving end is subjected to baseband reduction, down sampling and synchronous processing, MIMO channel estimation is carried out on signals of N receiving array elements by utilizing a training sequence respectively, then a zero-breaking equalization matrix is constructed in a frequency domain by utilizing the estimated channel and multiplied by the received signal to obtain M paths of output signals, and finally each path of signal is subjected to equalization decoding processing to obtain a final information estimation sequence.

Description

MIMO high-speed underwater acoustic communication method based on vector array receiving
Technical Field
The invention belongs to the technical field of underwater acoustic communication, and particularly relates to a vector array reception-based MIMO high-speed underwater acoustic communication method.
Background
With the pace of human development of the ocean being accelerated, the need for underwater information transmission will increase. The underwater acoustic communication is the most effective means for underwater remote information transmission at present, has a strong application background in the military field, and is also indispensable in the civil field. The underwater acoustic channel is a time-frequency double-expansion channel with limited bandwidth, is one of the most complex wireless communication channels recognized at present, and underwater information transmission, especially underwater high-speed information transmission, faces a serious challenge.
The existing underwater high-speed underwater acoustic communication technology mainly comprises two major technical systems of single carrier communication and OFDM communication in the aspect of technical systems, and the two technical systems are basically consistent in frequency band utilization rate. However, due to the bandwidth of the underwater acoustic channel, the communication rate of the underwater acoustic communication system using a single carrier or OFDM communication system may not meet the requirement. Therefore, in recent years, MIMO underwater acoustic communication technology is becoming a hot spot of research in the industry. The technology utilizes a plurality of array element transmission systems and a plurality of array element receiving systems, can well combine with communication systems such as single carrier, OFDM and the like, simultaneously sends the information sequence through a plurality of array elements in parallel, and can exponentially improve the communication rate of the underwater acoustic communication system.
The core problem faced in MIMO underwater acoustic communication is the mutual interference problem when different array elements transmit signals simultaneously, and Co-channel interference (CoI). The conventional processing method is to utilize large-aperture vertical array reception, fully utilize spatial difference of an underwater acoustic channel, and implement suppression of CoI by using a Passive Phase Conjugation (PPC) processing mode. However, the applicability of the method on an underwater platform such as a UUV (unmanned Underwater vehicle) which cannot carry an underwater large-aperture vertical array is severely limited, and the requirement for developing a MIMO (multiple input multiple output) high-speed underwater acoustic communication technology based on small-aperture vertical array or horizontal linear array reception is urgent.
Vector hydrophones can synchronously and synchronously acquire vector and scalar information of a sound field at the same point, and a single vector hydrophone can provide more receiving information compared with a single scalar hydrophone, so that support is provided for the MIMO high-speed underwater acoustic communication technology for realizing small-aperture array receiving. Therefore, the invention provides a vector array receiving-based MIMO high-speed underwater acoustic communication method based on a vector MIMO frequency domain zero-breaking equalization technology, and MIMO co-channel interference suppression can be realized by using a small-aperture vector receiving array, so that high-speed and reliable MIMO underwater acoustic communication is realized.
Disclosure of Invention
The invention provides a vector array receiving-based MIMO high-speed underwater acoustic communication method aiming at the problem of difficult co-channel interference caused by strong correlation of channels in the MIMO high-speed underwater acoustic communication based on a small aperture receiving array, which comprises the following steps: the method has the advantages that the vibration velocity channel information of the vector hydrophone is fully utilized, the influence of MIMO co-channel interference on decoding can be effectively inhibited by combining MIMO frequency domain equalization and iterative block processing, and therefore the reliability of the MIMO high-speed underwater acoustic communication system is remarkably improved.
In order to realize the purpose, the invention adopts the following technical scheme:
a MIMO high-speed underwater acoustic communication method based on vector array receiving comprises the following steps:
MIMO coding modulation, a transmitting terminal firstly converts an original information sequence into M paths of information sequences (M is the number of transmitting array elements in an MIMO communication system) through serial-parallel conversion, then carries out channel coding, interweaving and adding training sequences to each path of information respectively, and finally carries out single carrier modulation on each path of coded information sequence and simultaneously sends out M paths of communication signals by utilizing M transmitting array elements;
after the receiving end finishes signal detection and synchronization, the receiving end respectively carries out integral estimation on the underwater acoustic channels from M transmitting ends to the receiving end of each vector hydrophone p, vx and vy channel in the MIMO communication system by utilizing a local known training sequence;
vector MIMO frequency domain zero-forcing equalization processing, namely constructing a weight matrix in a frequency domain by using an estimated MIMO channel, multiplying the weight matrix by a received signal in the frequency domain, and realizing suppression processing of co-channel interference in an MIMO system to obtain M channels of communication signals;
single carrier decision feedback equalization processing, namely respectively carrying out single carrier decision feedback equalization processing on M paths of communication signals obtained after MIMO frequency domain zero forcing equalization to obtain a final decoding estimation result;
and the receiving end divides the received signal into blocks according to the length N, performs MIMO channel estimation updating by using the last decoding block, performs the processing process on the next two continuous signals by using the updated channel, and performs fusion processing on the symbol estimation obtained by the overlapping processing block.
Further, in the MIMO coded modulation, an original transmission sequence is assumed as a n (a n ∈[-1,1]) First, a is n Serial-to-parallel conversion to obtain b n
Figure BDA0003937944530000031
To b is paired with n After adding the training sequence to each row in the MIMO transmission system, performing PSK modulation (BPSK modulation is taken as an example here) to obtain M transmission signals in the MIMO transmission system:
Figure BDA0003937944530000032
in the formula (I), the compound is shown in the specification,
Figure BDA0003937944530000033
is b is n Training sequence added before the ith row information sequence; />
Figure BDA0003937944530000034
Is b is n The information sequence corresponding to the ith row; f. of c Is the carrier center frequency.
Further, in the MIMO channel estimation, the receiving end receives using a vector array (without limitation to the array type), and then the jth vector array element receives a signal:
Figure BDA0003937944530000035
in the formula (I), the compound is shown in the specification,
Figure BDA0003937944530000036
is respectively a hydroacoustic channel corresponding to the sound pressure and the vibration speed between the ith transmitting array element and the jth receiving array element, and is/are based on the remote field condition>
Figure BDA0003937944530000037
And &>
Figure BDA0003937944530000038
Has a high correlation, theta is the direction of arrival, and>
Figure BDA0003937944530000039
and &>
Figure BDA00039379445300000310
Local noises corresponding to the sound pressure channel and the vibration speed channel respectively;
let's consider that the received baseband signal is obtained after the received signal is demodulated, down-sampled, synchronized, etc. (take the p-channel of the ith vector receiving array element as an example)
Figure BDA00039379445300000311
Wherein Ld is the length of the training sequence, the received signal of the jth vector array element can be given in a matrix form:
Figure BDA00039379445300000312
in the formula (I), the compound is shown in the specification,
Figure BDA00039379445300000313
and &>
Figure BDA00039379445300000314
Are respectively based on>
Figure BDA00039379445300000315
And &>
Figure BDA00039379445300000316
A corresponding vector form;
Figure BDA0003937944530000041
further finishing the step (4) to obtain:
Figure BDA0003937944530000042
wherein S = [ S ] 1 ,S 2 ,...,S M ];
Figure BDA0003937944530000043
As can be seen from the formula (5), when the underwater acoustic communication channels from the M transmitting array elements to the jth receiving array element are estimated as a whole, the mutual interference can be effectively eliminated;
Figure BDA0003937944530000044
therefore, the jth vector receiving array elements p and v can be obtained by using a least square method x 、v y Three channels of estimated channels (p-channel for example).
Further, in the vector MIMO frequency domain zero-forcing equalization process, performing fourier transform on equation (3) first includes:
Figure BDA0003937944530000045
p, v of each vector array element x 、v y The channel signals are jointly arranged to obtain
Figure BDA0003937944530000046
In the formula (I), the compound is shown in the specification,
Figure BDA0003937944530000047
the noise component after the arrangement is obtained; />
Figure BDA0003937944530000051
Then the weight matrix is constructed in the frequency domain according to equation (10) as:
Figure BDA0003937944530000052
the result of the received signal after the MIMO frequency domain zero-breaking equalization processing is:
Figure BDA0003937944530000053
and eliminating the interference among the transmitting signals of each array element after the MIMO frequency domain equalization processing.
Furthermore, in the single carrier decision feedback equalization processing, firstly, the signal after frequency domain equalization processing is processed
Figure BDA0003937944530000054
Each row of the phase-locked loop carries out inverse Fourier transform to obtain M time domain baseband signals, and the M time domain baseband signals are respectively processed by a decision feedback equalizer embedded with a phase-locked loop to obtain->
Figure BDA0003937944530000055
Thereby obtaining an estimate of the original information sequence.
Further, in the MIMO block iterative vector equalization processing, a receiving end of the MIMO system first performs block processing on the received signals of N array elements, and if the length of each block is N, the MIMO block iterative vector equalization processing flow is as follows:
1) The estimated channel obtained after MIMO channel estimation is carried out by using the kth-2 data block which is decoded completely is set as
Figure BDA0003937944530000056
Then the channel is used to perform MIMO frequency domain zero-breaking equalization and DFE processing on the (k-1) th and kth data blocks to obtain an estimated sign ≥ for the (k-1) th data block>
Figure BDA0003937944530000057
And an alternative symbol ^ of the kth data block>
Figure BDA0003937944530000058
2) Estimated symbol using k-1 data block
Figure BDA0003937944530000059
Estimating a MIMO channel to obtain an updated channel->
Figure BDA00039379445300000510
3) Utilizing updated MIMO channels
Figure BDA0003937944530000061
Performing MIMO frequency domain zero-breaking equalization processing and DFE processing on the kth and the (k + 1) th data blocks to obtain the symbol to be selected of the kth data block>
Figure BDA0003937944530000062
And alternative symbol of the (k + 1) th data block
Figure BDA0003937944530000063
4) For the estimated alternative symbol of the k data block
Figure BDA0003937944530000064
And the symbol to be selected->
Figure BDA0003937944530000065
Performing fusion processing to obtain an estimated symbol ^ of the kth data block>
Figure BDA0003937944530000066
Wherein the fusion mode selects the symbol with the minimum error one by one as the estimated symbol of the current symbol->
Figure BDA0003937944530000067
Where Er (·) is the symbol error, which is the expectation of estimating the euclidean distance from the symbol to the constellation point;
5) Repeating the processes from 1) to 4) until the decoding is finished.
In general, compared with the prior art, the above technical solution contemplated by the present invention can achieve the following beneficial effects:
the MIMO high-speed underwater acoustic communication method based on vector array receiving provided by the invention can be used for constructing the MIMO frequency domain zero-breaking equalization matrix by fully utilizing the vector information of a sound field, and can effectively inhibit the co-channel interference influence in the MIMO high-speed underwater acoustic communication system. Meanwhile, aiming at the problem that the MIMO frequency domain zero-breaking equalization processing result is sensitive to an MIMO channel, the MIMO block iterative equalization processing is utilized to effectively solve the problem. The method has high environmental adaptability, and can effectively solve the influence caused by MIMO co-channel interference, thereby obviously improving the performance of the single-carrier high-speed underwater acoustic communication system.
Drawings
Fig. 1 is a MIMO communication system model;
fig. 2 is a diagram of a vector MIMO channel estimation result based on actual data;
FIG. 3 is a graph of correlation peak-to-contrast results of training sequence matching before and after frequency domain zero-breaking equalization;
FIG. 4 is a flow chart of a MIMO block iterative vector equalization process;
figure 5 shows a comparison of the equalization results of different MIMO channels.
Detailed Description
The technical solutions in the embodiments are clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all of them. All other embodiments, which can be derived by a person skilled in the art from the examples without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, a MIMO high-speed underwater acoustic communication method based on vector array reception includes the following steps:
MIMO coding modulation, a transmitting terminal firstly converts an original information sequence into M paths of information sequences (M is the number of transmitting array elements in an MIMO communication system) through serial-parallel conversion, then carries out channel coding, interweaving and adding training sequences to each path of information respectively, and finally carries out single carrier modulation on each path of coded information sequence and simultaneously sends out M paths of communication signals by utilizing M transmitting array elements;
after the receiving end finishes signal detection and synchronization, the receiving end respectively carries out integral estimation on the underwater acoustic channels from M transmitting ends to the receiving end of each vector hydrophone p, vx and vy channel in the MIMO communication system by utilizing a local known training sequence;
vector MIMO frequency domain zero-forcing equalization processing, namely constructing a weight matrix in a frequency domain by using an estimated MIMO channel, multiplying the weight matrix by a received signal in the frequency domain, and realizing suppression processing of co-channel interference in an MIMO system to obtain M channels of communication signals; the vector sound field information is utilized to construct an MIMO frequency domain zero-breaking equalization matrix, the communication interference suppression capability is better than that of the MIMO frequency domain zero-breaking equalization matrix only utilizing the sound field scalar information, and the size of the receiving end dimension space is kept unchanged;
single carrier decision feedback equalization processing, namely respectively carrying out single carrier decision feedback equalization processing on M paths of communication signals obtained after MIMO frequency domain zero forcing equalization to obtain a final decoding estimation result;
and the receiving end divides the received signal into blocks according to the length N, performs MIMO channel estimation updating by using the last decoding block, performs the processing process on the next two continuous signals by using the updated channel, and performs fusion processing on the symbol estimation obtained by the overlapping processing block.
Specifically, in the MIMO coded modulation, an original transmission sequence is assumed to be a n (a n ∈[-1,1]) First, a is n Serial-to-parallel conversion to obtain b n
Figure BDA0003937944530000071
To b is n After adding the training sequence to each row in the MIMO transmission system, performing PSK modulation (BPSK modulation is taken as an example here) to obtain M transmission signals in the MIMO transmission system:
Figure BDA0003937944530000072
in the formula (I), the compound is shown in the specification,
Figure BDA0003937944530000081
is b is n A training sequence added before the ith row information sequence; />
Figure BDA0003937944530000082
Is b is n The information sequence corresponding to the ith row; f. of c Is the carrier center frequency.
Specifically, in the MIMO channel estimation, a receiving end receives signals by using a vector array (without limitation to an array type), and then a jth vector array element receives signals:
Figure BDA0003937944530000083
in the formula (I), the compound is shown in the specification,
Figure BDA0003937944530000084
is respectively a hydroacoustic channel corresponding to the sound pressure and the vibration speed between the ith transmitting array element and the jth receiving array element, and is/are based on the remote field condition>
Figure BDA0003937944530000085
And &>
Figure BDA0003937944530000086
Has a high correlation, theta is the direction of arrival, and>
Figure BDA0003937944530000087
and &>
Figure BDA0003937944530000088
Local noises corresponding to the sound pressure channel and the vibration speed channel respectively;
let us say that the received baseband signal is obtained after the received signal is demodulated, down-sampled, synchronized, etc. (take the p-channel of the ith vector receiving array element as an example)
Figure BDA0003937944530000089
Wherein Ld is the length of the training sequence, the received signal of the jth vector array element can be given in a matrix form:
Figure BDA00039379445300000810
in the formula (I), the compound is shown in the specification,
Figure BDA00039379445300000811
and &>
Figure BDA00039379445300000812
Are respectively based on>
Figure BDA00039379445300000813
And &>
Figure BDA00039379445300000814
A corresponding vector form; />
Figure BDA00039379445300000815
Further finishing the step (4) to obtain:
Figure BDA00039379445300000816
wherein S = [ S ] 1 ,S 2 ,...,S M ];
Figure BDA0003937944530000091
As can be seen from the formula (5), when the underwater acoustic communication channels from the M transmitting array elements to the jth receiving array element are estimated as a whole, the mutual interference can be effectively eliminated;
Figure BDA0003937944530000092
therefore, the jth vector receiving array elements p and v can be obtained by using a least square method x 、v y Three channels of estimated channels (p-channel for example).
FIG. 2 shows p, v based on actual data x 、v y According to the channel estimation result, the number of the transmitting array elements and the number of the receiving array elements in the MIMO system are four, and the sound pressure channel and the vibration velocity channel have high correlation. Because the spatial difference of the channels needs to be fully utilized in the traditional MIMO reverse processing, the channel of the vibration velocity channel cannot bring additional benefits, and the MIMO frequency domain zero-breaking equalization method provided by the method is not limited by the limitation.
Specifically, in the vector MIMO frequency domain zero-forcing equalization process, firstly performing fourier transform on equation (3) includes:
Figure BDA0003937944530000093
p, v of each vector array element x 、v y The channel signals are jointly arranged to obtain
Figure BDA0003937944530000094
In the formula (I), the compound is shown in the specification,
Figure BDA0003937944530000095
the noise component after the arrangement is obtained; />
Figure BDA0003937944530000096
Then the weight matrix is constructed in the frequency domain according to equation (10) as:
Figure BDA0003937944530000101
the result of the received signal after the MIMO frequency domain zero-breaking equalization processing is:
Figure BDA0003937944530000102
as can be seen from equation (12), the interference between the transmission signals of the array elements is eliminated after the MIMO frequency domain equalization processing. Fig. 3 shows the matching output results before and after equalization of M (assuming that M = 4) training sequences of transmitted signals, and it can be seen that co-channel interference in the system is significantly suppressed after vector MIMO frequency domain equalization.
Specifically, in the single-carrier decision feedback equalization processing, firstly, the signal after frequency domain equalization processing is processed
Figure BDA0003937944530000103
Each row of the phase-locked loop carries out inverse Fourier transform to obtain M time-domain baseband signals, and the M time-domain baseband signals are processed by a decision feedback equalizer embedded with a phase-locked loop respectively to obtain ^ M>
Figure BDA0003937944530000104
Thereby obtaining an estimate of the original information sequence.
Specifically, as shown in fig. 4, in the MIMO block iterative vector equalization processing, a receiving end of the MIMO system first performs block processing on received signals of N array elements, and if the length of each block is N, a flow of the MIMO block iterative vector equalization processing is as follows:
1) The estimated channel obtained after MIMO channel estimation is carried out by using the kth-2 th decoded data block is set as
Figure BDA0003937944530000105
Then the channel is used to perform MIMO frequency domain zero-breaking equalization and DFE processing on the (k-1) th and kth data blocks to obtain an estimated sign ≥ for the (k-1) th data block>
Figure BDA0003937944530000106
And an alternative symbol ^ of the kth data block>
Figure BDA0003937944530000107
2) Estimated symbol using k-1 data block
Figure BDA0003937944530000108
Estimating a MIMO channel to obtain an updated channel->
Figure BDA0003937944530000109
3) Utilizing updated MIMO channels
Figure BDA00039379445300001010
Performing MIMO frequency domain zero-breaking equalization processing and DFE processing on the kth and the (k + 1) th data blocks to obtain the symbol to be selected of the kth data block>
Figure BDA00039379445300001011
And alternative symbols of the (k + 1) th data block
Figure BDA00039379445300001012
4) For the estimated alternative symbol of the k data block
Figure BDA00039379445300001013
And a symbol to be selected>
Figure BDA00039379445300001014
Performing fusion processing to obtain the estimated sign of the kth data block>
Figure BDA00039379445300001015
The fusion mode adopts symbol-by-symbol selection of the symbol with the minimum error as the estimated symbol of the current symbol
Figure BDA00039379445300001016
Where Er (·) is the symbol error, which is the expectation of estimating the euclidean distance from the symbol to the constellation point;
5) Repeating the processes from 1) to 4) until the decoding is finished.
The MIMO high-speed underwater acoustic communication method based on vector array receiving provided by the invention can be used for constructing the MIMO frequency domain zero-breaking equalization matrix by fully utilizing the vector information of a sound field, and can effectively inhibit the co-channel interference influence in the MIMO high-speed underwater acoustic communication system. Meanwhile, aiming at the problem that the MIMO frequency domain zero-breaking equalization processing result is sensitive to an MIMO channel, the MIMO block iterative equalization processing is utilized to effectively solve the problem. The method has high environmental adaptability, and can effectively solve the influence caused by MIMO co-channel interference, thereby obviously improving the performance of the single-carrier high-speed underwater acoustic communication system. Fig. 5 shows the comparison results of decoding constellation diagrams after MIMO channel equalization by using the conventional MIMO-PPC method and the method proposed by the present invention, respectively, which shows that the conventional method cannot effectively suppress co-channel interference at the MIMO receiving end, thereby causing severe error codes; the method provided by the invention effectively inhibits the MIMO co-channel interference, thereby realizing the 4-transmission and 4-reception vector MIMO high-speed communication.
The above description is only a preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any modification and replacement based on the technical solution and the inventive concept provided by the present invention should be covered within the scope of the present invention.

Claims (6)

1. A MIMO high-speed underwater acoustic communication method based on vector array receiving is characterized in that: the method comprises the following steps:
MIMO coding modulation, a transmitting terminal firstly converts an original information sequence into M paths of information sequences (M is the number of transmitting array elements in an MIMO communication system) through serial-parallel conversion, then carries out channel coding, interweaving and training sequence addition on each path of information respectively, and finally carries out single carrier modulation on the information sequence after each path of coding and simultaneously transmits M paths of communication signals by using M transmitting array elements;
after the receiving end finishes signal detection and synchronization, the receiving end respectively carries out integral estimation on the underwater acoustic channels from M transmitting ends to the receiving end of each vector hydrophone p, vx and vy channel in the MIMO communication system by utilizing a local known training sequence;
vector MIMO frequency domain zero-forcing equalization processing, namely constructing a weight matrix in a frequency domain by using an estimated MIMO channel, multiplying the weight matrix by a received signal in the frequency domain, and realizing suppression processing of co-channel interference in an MIMO system to obtain M channels of communication signals;
single carrier decision feedback equalization processing, namely respectively carrying out single carrier decision feedback equalization processing on M paths of communication signals obtained after MIMO frequency domain zero forcing equalization to obtain a final decoding estimation result;
and the receiving end divides the received signal into blocks according to the length N, performs MIMO channel estimation updating by using the last decoding block, performs the processing process on the next two continuous signals by using the updated channel, and performs fusion processing on the symbol estimation obtained by the overlapping processing block.
2. The MIMO high-speed underwater acoustic communication method based on vector array receiving of claim 1, characterized in that: in the MIMO coding modulation, an original sending sequence is set as a n (a n ∈[-1,1]) First, a is n Serial-to-parallel conversion to obtain b n
Figure FDA0003937944520000011
To b is paired with n After adding the training sequence to each row in the MIMO transmission system, performing PSK modulation (BPSK modulation is taken as an example here) to obtain M transmission signals in the MIMO transmission system:
Figure FDA0003937944520000012
in the formula (I), the compound is shown in the specification,
Figure FDA0003937944520000013
is b is n A training sequence added before the ith row information sequence; />
Figure FDA0003937944520000014
Is b is n The information sequence corresponding to the ith row; f. of c Is the carrier center frequency.
3. The MIMO high-speed underwater acoustic communication method based on vector array receiving of claim 2, characterized in that: in the MIMO channel estimation, a receiving end receives a signal by using a vector array (without limitation of an array type), and a jth vector array element receiving signal is as follows:
Figure FDA0003937944520000021
in the formula (I), the compound is shown in the specification,
Figure FDA0003937944520000022
is respectively a hydroacoustic channel corresponding to the sound pressure and the vibration speed between the ith transmitting array element and the jth receiving array element, and is/are based on the remote field condition>
Figure FDA0003937944520000023
And &>
Figure FDA0003937944520000024
Has high correlation, theta is the direction of arrival,/>
Figure FDA0003937944520000025
And &>
Figure FDA0003937944520000026
Local noises corresponding to the sound pressure channel and the vibration speed channel respectively;
let's consider that the received baseband signal is obtained after the received signal is demodulated, down-sampled, synchronized, etc. (take the p-channel of the ith vector receiving array element as an example)
Figure FDA0003937944520000027
Wherein Ld is the length of the training sequence, the received signal of the jth vector array element can be given in a matrix form:
Figure FDA00039379445200000214
in the formula (I), the compound is shown in the specification,
Figure FDA0003937944520000028
and &>
Figure FDA0003937944520000029
Are respectively based on>
Figure FDA00039379445200000210
And &>
Figure FDA00039379445200000211
A corresponding vector form;
Figure FDA00039379445200000212
further finishing the step (4) to obtain:
Figure FDA00039379445200000213
wherein S = [ S ] 1 ,S 2 ,...,S M ];
Figure FDA0003937944520000031
As can be seen from the formula (5), when the underwater acoustic communication channels from the M transmitting array elements to the jth receiving array element are estimated as a whole, the mutual interference can be effectively eliminated;
Figure FDA0003937944520000032
therefore, the jth vector receiving array elements p and v can be obtained by using a least square method x 、v y Three channels of estimated channels (p-channel for example).
4. The MIMO high-speed underwater acoustic communication method based on vector array receiving of claim 3, characterized in that: in the vector MIMO frequency domain zero-forcing equalization process, firstly, performing fourier transform on equation (3) includes:
Figure FDA0003937944520000033
p, v of each vector array element x 、v y The channel signals are jointly arranged to obtain
Figure FDA0003937944520000034
/>
In the formula (I), the compound is shown in the specification,
Figure FDA0003937944520000035
the noise component after the arrangement;
Figure FDA0003937944520000036
then the weight matrix is constructed in the frequency domain according to equation (10) as:
Figure FDA0003937944520000037
the result of the received signal after the MIMO frequency domain zero-breaking equalization processing is:
Figure FDA0003937944520000041
and eliminating the interference among the transmitting signals of each array element after the MIMO frequency domain equalization processing.
5. The MIMO high-speed underwater acoustic communication method based on vector array receiving of claim 4, characterized in that: in the single-carrier decision feedback equalization processing, firstly, the signal after frequency domain equalization processing is carried out
Figure FDA0003937944520000042
Each row of the phase-locked loop carries out inverse Fourier transform to obtain M time domain baseband signals, and the M time domain baseband signals are respectively processed by a decision feedback equalizer embedded with a phase-locked loop to obtain->
Figure FDA0003937944520000043
Thereby obtaining an estimate of the original information sequence.
6. The MIMO high-speed underwater acoustic communication method based on vector array receiving of claim 5, characterized in that: in the MIMO block iterative vector equalization processing, a receiving end of the MIMO system first performs block processing on received signals of N array elements, and if the length of each block is N, the MIMO block iterative vector equalization processing flow is as follows:
1) Let us proceed with the k-2 th decoded data blockThe estimated channel obtained after MIMO channel estimation is
Figure FDA0003937944520000044
Then the channel is used to perform MIMO frequency domain zero-breaking equalization and DFE processing on the (k-1) th and kth data blocks to obtain an estimated sign ≥ for the (k-1) th data block>
Figure FDA0003937944520000045
And an alternative symbol ^ of the kth data block>
Figure FDA0003937944520000046
2) Estimated symbol using k-1 data block
Figure FDA0003937944520000047
Estimating a MIMO channel to obtain an updated channel
Figure FDA0003937944520000048
3) Utilizing updated MIMO channels
Figure FDA0003937944520000049
Performing MIMO frequency domain zero-breaking equalization processing and DFE processing on the kth and the (k + 1) th data blocks to obtain the symbol to be selected->
Figure FDA00039379445200000410
And an alternative symbol ^ of the (k + 1) th data block>
Figure FDA00039379445200000411
4) For the estimated alternative symbol of the k data block
Figure FDA00039379445200000412
And the symbol to be selected->
Figure FDA00039379445200000413
Performing fusion processing to obtain the estimated sign of the kth data block>
Figure FDA00039379445200000414
The fusion mode adopts symbol-by-symbol selection with the minimum error as the estimated symbol of the current symbol
Figure FDA00039379445200000415
Where Er (·) is the symbol error, which is the expectation of estimating the euclidean distance from the symbol to the constellation point;
5) Repeating the processes from 1) to 4) until the decoding is finished.
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