CN112929315B - Mine wireless communication method based on multi-antenna single carrier modulation - Google Patents

Mine wireless communication method based on multi-antenna single carrier modulation Download PDF

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CN112929315B
CN112929315B CN202110075637.7A CN202110075637A CN112929315B CN 112929315 B CN112929315 B CN 112929315B CN 202110075637 A CN202110075637 A CN 202110075637A CN 112929315 B CN112929315 B CN 112929315B
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sequence
frequency offset
timing synchronization
antenna
symbol timing
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CN112929315A (en
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刘毅
郑小敏
申逸飞
秦凡
王靓
高思佳
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Xidian University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2602—Signal structure
    • H04L27/261—Details of reference signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2614—Peak power aspects
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2614—Peak power aspects
    • H04L27/2615—Reduction thereof using coding
    • H04L27/2617—Reduction thereof using coding using block codes
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H04L27/2655—Synchronisation arrangements
    • H04L27/2657—Carrier synchronisation
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H04L27/2655—Synchronisation arrangements
    • H04L27/2662—Symbol synchronisation
    • H04L27/2663—Coarse synchronisation, e.g. by correlation

Abstract

The invention discloses a mine wireless communication method based on multi-antenna single carrier modulation, which mainly solves the problems of low power utilization rate and high system timing synchronization complexity in the prior art. The implementation scheme is as follows: respectively generating a single carrier signal, a symbol timing synchronization sequence and a frequency offset estimation sequence of a mine channel at a transmitting end, and framing the single carrier signal, the symbol timing synchronization sequence and the frequency offset estimation sequence in a time domain to generate a transmitting signal with a low peak-to-average ratio; transmitting the transmission signals from the two transmitting antennas to a mine channel; firstly, symbol timing synchronization is carried out at a receiving end to determine a timing synchronization position, and then frequency offset estimation is carried out to carry out frequency offset compensation on a received signal; sequentially performing space-time decoding and channel equalization on the signals subjected to the frequency offset compensation; and finally, demapping the equalized received signal to obtain an output signal. The invention adopts single carrier modulation and a leading structure based on a ZC sequence, can effectively reduce the peak-to-average ratio of the system, improves the power utilization rate and the symbol timing synchronization accuracy, simplifies the synchronization operation, and can be used for mine production operation.

Description

Mine wireless communication method based on multi-antenna single carrier modulation
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a mine wireless communication method which can be used for mine production operation.
Background
The mine resources in China are rich, the coal resources are the most important one of the resources, the coal resources play a vital role in economic development, and the maintenance of the smooth communication of mines is an important guarantee for the safe production of mining industry and the quick and effective rescue after disasters. At present, underground coal mine communication in China mainly comprises two major categories, namely wired communication and wireless communication, and due to the fact that the actual mine environment is very complex, a mine wired communication system has the defects of difficulty in construction, limited coverage, insufficient flexibility and the like, and the functions of the mine wired communication system are limited to a great extent; compared with a mine wired communication system, the mine wireless communication system has the obvious advantages of low cost, small equipment volume, simplicity and convenience in installation, strong flexibility and the like. Therefore, the mine wireless communication system is one of the very important issues in the mine communication field, and will play a great role in future mine production operations. However, the following problems still exist in the actual mine wireless communication. First, since the mine tunnel is a non-free propagation space with limited space, electromagnetic wave propagation may generate a multipath fading phenomenon due to the tunnel wall and obstacles, resulting in inter-symbol interference and reducing reliability of the communication system. Secondly, the problem that the transmitting power cannot be overlarge during mine wireless transmission exists, otherwise, explosion accidents are easily caused by electric sparks.
Liu Sai man et al put forward a mine wireless communication method combining Orthogonal Frequency Division Multiplexing (OFDM) technology and multiple-input multiple-output (MIMO) technology in the thesis of application of MIMO-OFDM in a mine wireless communication system. Although the method can solve the problem of serious multipath fading in a mine, OFDM is sensitive to frequency deviation and timing error, in addition, the OFDM has the defect of high PAPR, the nonlinear distortion of a signal caused by a nonlinear power amplifier cannot be avoided, and the problem of low system power utilization rate caused by limited transmitting power in actual mine wireless communication cannot be solved.
Disclosure of Invention
The invention aims to provide a mine wireless communication method based on multi-antenna single carrier modulation to reduce the peak-to-average ratio of signals and improve the power utilization rate and the accuracy of symbol timing synchronization aiming at the defects of the prior art.
In order to achieve the purpose, the technical scheme of the invention comprises the following steps:
(1) sequentially carrying out Quadrature Phase Shift Keying (QPSK) mapping and space-time block coding on original data of a transmitting terminal, adding a Cyclic Prefix (CP) to the coded data, and generating a single-carrier signal xsc(n)；
(2) Respectively generating a symbol timing synchronization sequence A (m) and a frequency offset estimation sequence B (m) of a mine channel according to a generation mode of a ZC sequence;
(3) a symbol timing synchronization sequence A (m), a frequency offset estimation sequence B (m) and a single carrier signal xsc(N) framing in the time domain to generate a transmission signal x (N), and then converting the generated transmission signal x (N) from NtTransmitting antenna to mine channel, NtThe receiving signal y (n) is obtained;
(4) the symbol timing synchronization sequence A (m) is operated with symbol timing synchronization operation to obtain the timing synchronization position
Figure BDA0002907514310000026
(4a) Respectively carrying out cross-correlation operation on four ZC sequences in the symbol timing synchronization sequence A (m) and a received signal y (n) to obtain four partial correlation value sequences per _ cor of symbol timing synchronizationi(r)；
(4b) Synchronizing the timing of four symbols with a sequence of partial correlation values per _ cori(r) performing modulo and accumulation operations to generate a correlation value sequence cor (r) for symbol timing synchronization;
(4c) performing a maximum operation on the symbol timing synchronization correlation value sequence cor (r) to obtain a timing synchronization position
Figure BDA0002907514310000021
(5) Performing frequency offset compensation by using a frequency offset estimation sequence B (m) to obtain a receiving signal y' (n) after frequency offset compensation:
(5a) synchronizing positions according to timing
Figure BDA0002907514310000022
Obtaining the initial position of the frequency offset estimation sequence B (m) in the received signal y (n):
Figure BDA0002907514310000023
wherein N isAIndicates the length of the symbol timing synchronization sequence a (m); performing autocorrelation operation on two ZC sequences in the frequency offset estimation sequence B (m) to obtain a frequency offset estimation correlation value P;
(5b) making frequency deviation on frequency deviation estimation correlation value PEstimating operation to obtain frequency deviation estimated value
Figure BDA0002907514310000024
(5c) Using frequency offset estimates
Figure BDA0002907514310000025
Carrying out frequency offset compensation operation on the received signal y (n) to obtain a received signal y' (n) after frequency offset compensation;
(6) and sequentially carrying out space-time decoding and channel equalization on the received signal y' (n), and carrying out demapping operation on the equalized signal to obtain an output signal.
Compared with the prior art, the invention has the following advantages:
1. improves the power utilization rate
In the prior art, a mine wireless communication method realized by utilizing OFDM has low system power utilization rate due to overhigh peak-to-average ratio. The invention adopts a single carrier modulation mode and a leading structure based on a ZC sequence, reduces the peak-to-average ratio and can improve the power utilization rate.
2. Symbol timing synchronization accuracy
The traditional algorithm for timing synchronization by using a repeated sequence needs to perform coarse timing synchronization and frequency offset correction in sequence and then perform fine timing synchronization, and the synchronization operation complexity is high. The invention uses ZC sequences with different root indexes to form a symbol timing synchronization sequence, simplifies the synchronization operation, improves the accuracy of symbol timing synchronization and reduces the error rate of the system.
Drawings
FIG. 1 is a flow chart of an implementation of the present invention;
FIG. 2 is a diagram of the preamble structure generated in the present invention.
Detailed Description
The invention is described in further detail below with reference to the figures and the specific embodiments.
Referring to fig. 1, the mine wireless communication method based on multi-antenna single carrier modulation of the invention comprises the following steps:
step 1: generating a single carrier signal xsc(n)。
(1.1) carrying out Quadrature Phase Shift Keying (QPSK) mapping on original data of a transmitting end, and respectively generating a transmitting data block of a first antenna at the T-th time by signal source mapping
Figure BDA0002907514310000031
And the second antenna sends the data block at the T time
Figure BDA0002907514310000032
(1.2) space-time block coding is carried out on the data block sent at the T moment to obtain the data block to be sent by the first antenna at the T +1 moment
Figure BDA0002907514310000033
And a second antenna for transmitting a data block
Figure BDA0002907514310000034
Figure BDA0002907514310000035
Figure BDA0002907514310000036
Where n represents the data index in the data block,
Figure BDA0002907514310000037
representing a conjugate operation (·)NRepresenting a modulo-N operation, where N represents the length of the data block, taking the value of 512;
(1.3) intercepting the last 64 bits of the coded data block as a cyclic prefix CP, copying the cyclic prefix CP to the data head part, and generating a single carrier signal xsc(n)。
Step 2: generating a symbol timing synchronization sequence A (m) and a frequency offset estimation sequence B (m) of the mine channel.
(2.1) selecting four different root indexes mu to respectively generate four segments with the length of NzcOf a frequency domain ZC sequence Qi(k)：
Figure BDA0002907514310000041
Wherein e represents a natural base number, j represents an imaginary unit, NzcThe value is 128, muiValues 121, 123, 125, 127, respectively;
(2.2) dividing four different frequency domain ZC sequences Qi(k) Respectively carrying out IFFT operation to correspondingly generate a time domain ZC sequence qi(n)：
Figure BDA0002907514310000042
(2.3) dividing four time-domain ZC sequences q1(n)，q2(n)，q3(n)，q4(n) assembling to form a symbol timing synchronization sequence A (m);
(2.4) Generation of 2N LengthzcThe frequency domain ZC sequence D (k) is subjected to IFFT operation to obtain a time domain ZC sequence d (n), and the d (n) is repeated once in the time domain to generate a frequency offset estimation sequence B (m).
And step 3: a transmit signal x (n) is generated and transmitted to the mine channel.
(3.1) referring to FIG. 2, symbol timing synchronization sequence A (m), frequency offset estimation sequence B (m) and single carrier signal xsc(n) framing in the time domain, i.e. A (m), B (m), xsc(n) sequentially connecting to generate a transmission signal x (n);
(3.2) transmitting the generated transmission signal x (n) to a mine channel from two transmitting antennas to obtain a receiving signal y (n):
Figure BDA0002907514310000043
wherein Γ (·) is a Gamma function; alpha represents the shape factor of the mine channel fading degree, and the value range is more than or equal to 1 and less than 4; sigma2Represents the variance of the gaussian distribution and v (-) represents the channel noise.
And 4, step 4: determining timing synchronization position
Figure BDA0002907514310000044
(4.1) respectively carrying out cross-correlation operation on four ZC sequences in the symbol timing synchronization sequence A (m) and a received signal y (n) to obtain four symbol timing synchronization partial correlation value sequences per _ cori(r)：
Figure BDA0002907514310000045
Wherein i represents the i-th ZC sequence in the symbol timing synchronization sequence A (m), r represents the current time, NAThe length of the symbol timing synchronization sequence A (m) is represented as 512, n represents the data index in the data block, (-)*Represents taking the conjugate, y (-) represents the received signal at the current time;
(4.2) synchronizing the four symbol timing with the partial correlation value sequence per _ cori(r) performing modulo and accumulation operations to generate a correlation value sequence cor (r) for symbol timing synchronization:
Figure BDA0002907514310000051
where r represents the current time, i represents the i-th ZC sequence in the symbol timing synchronization sequence A (m), and | is the symbol timing synchronization partial correlation value sequence per _ coriA modulus value of (r);
(4.3) performing the most value operation on the symbol timing synchronization correlation value sequence cor (r) to obtain the timing synchronization position
Figure BDA0002907514310000058
Figure BDA0002907514310000052
Wherein the content of the first and second substances,
Figure BDA0002907514310000053
which indicates the position of the timing synchronization,
Figure BDA0002907514310000054
indicating the value of r at which the maximum value is taken.
And 5: the received signal y (n) is frequency offset compensated.
(5.1) synchronizing positions according to timing
Figure BDA0002907514310000055
Obtaining the initial position of the frequency offset estimation sequence B (m) in the received signal y (n):
Figure BDA0002907514310000056
wherein N isAIndicates the length of the symbol timing synchronization sequence a (m);
(5.2) according to the starting position rBPerforming autocorrelation operation on two ZC sequences in the frequency offset estimation sequence B (m) to obtain a frequency offset estimation correlation value P:
Figure BDA0002907514310000057
where m denotes a data index in the data block, ε denotes a frequency offset of the received signal, N denotes a data length, d (-) denotes a ZC sequence in the received signal, z (-) denotes a noise term in the received signal, y (-) denotes the received signal at the current time, NdRepresenting the length (m) of the frequency offset estimation sequence B
Figure BDA0002907514310000061
A value of 256;
(5.3) carrying out frequency offset estimation operation on the frequency offset estimation correlation value P to obtain a frequency offset estimation value
Figure BDA0002907514310000062
Figure BDA0002907514310000063
Wherein arg (·) represents a phase finding operation;
(5.4) Using the frequency offset estimate
Figure BDA0002907514310000064
Performing frequency offset compensation operation on the received signal y (n) to obtain a frequency offset compensated received signal y' (n):
Figure BDA0002907514310000065
wherein e represents a natural base number, j represents an imaginary unit,
Figure BDA0002907514310000066
indicating the frequency offset estimate and N the data length.
Step 6: the output signal is recovered.
(6.1) performing FFT operation on the received signal Y' (n) after frequency offset compensation to obtain a frequency domain received signal Y:
Figure BDA0002907514310000067
(6.2) writing the frequency domain received signal Y into a corresponding matrix form as follows:
Figure BDA0002907514310000068
wherein, Y11Meaning that the first receiving antenna receives a frequency domain signal from the first transmitting antenna, Y12Indicating that the first receiving antenna receives a frequency domain signal from the second transmitting antenna, Y21Indicating that the second receiving antenna receives the frequency domain signal from the first transmitting antenna, Y22Indicating that the second receive antenna receives frequency domain signals from the second transmit antenna;
(6.3) performing space-time decoding on the matrix form Y of the frequency domain receiving signal to obtain a frequency domain signal decoded by the first receiving antenna
Figure BDA0002907514310000069
And the second receiving antenna decoded frequency domain signal
Figure BDA00029075143100000610
Figure BDA00029075143100000611
Figure BDA0002907514310000071
Wherein, Λ11Representing the frequency domain response, Λ, of the channel between the first receive antenna and the first transmit antenna12Representing the frequency-domain response, Λ, of the channel between the first receiving antenna and the second transmitting antenna21Representing the frequency-domain response, Λ, of the channel between the second receive antenna and the first transmit antenna22Representing a channel frequency domain response between the second receive antenna and the second transmit antenna; Λ represents the channel frequency domain response; z1And Z2Respectively representing frequency domain signals sent by a first transmitting antenna and a second transmitting antenna; w1And W2Respectively representing the noise received by the first receiving antenna and the second receiving antenna;
(6.4) respectively decoding the two antenna frequency domain signals
Figure BDA0002907514310000072
And
Figure BDA0002907514310000073
utilizing the minimum mean square error equalization coefficient to carry out channel equalization to obtain a frequency domain signal after the equalization of the first receiving antenna
Figure BDA0002907514310000074
Frequency domain signal equalized with second receiving antenna
Figure BDA0002907514310000075
Figure BDA0002907514310000076
Figure BDA0002907514310000077
Wherein E isMMSERepresents the equalization coefficient, (.)HWhich represents the conjugate transpose operation,
Figure BDA0002907514310000078
representing the variance of the noise, EsRepresenting signal energy, I representing an identity matrix;
(6.5) respectively carrying out frequency domain signal pair on the two equalized antennas
Figure BDA0002907514310000079
And
Figure BDA00029075143100000710
performing IFFT operation to obtain corresponding time domain receiving signals on the two antennas, and then performing demapping operation on the two time domain receiving signals respectively to obtain output signals on the two antennas.
The foregoing is a description of specific embodiments of the present invention. It is to be understood that the present invention is not limited to the specific embodiments described above, and that various changes and modifications may be made by those skilled in the art within the scope of the appended claims without departing from the spirit of the invention.

Claims (6)

1. A mine wireless communication method based on multi-antenna single carrier modulation is characterized by comprising the following steps:
(1) sequentially carrying out quadrature phase shift keying QPSK mapping and space-time block coding on original data of a transmitting endCode, adding cyclic prefix CP to coded data to generate single carrier signal xsc(n); the method comprises the following steps of sequentially carrying out Quadrature Phase Shift Keying (QPSK) mapping and space-time block coding on original data of a transmitting end, and realizing the following steps:
1a) generating a data block to be transmitted at the Tth moment of the first antenna and the second antenna respectively by mapping of a signal source
Figure FDA0003380849990000011
Figure FDA0003380849990000012
1b) Performing space-time block coding on the data block sent at the T moment to obtain the data block to be sent by the first antenna at the T +1 moment
Figure FDA0003380849990000013
And a second antenna for transmitting a data block
Figure FDA0003380849990000014
Figure FDA0003380849990000015
Figure FDA0003380849990000016
Where n represents the data index in the data block,
Figure FDA0003380849990000017
representing a conjugate operation (·)NRepresenting a modulo-N operation, where N represents the length of the data block, taking the value of 512;
(2) respectively generating a symbol timing synchronization sequence A (m) and a frequency offset estimation sequence B (m) of a mine channel according to a generation mode of a ZC sequence; the method is realized as follows:
2a) choose fourDifferent root indexes mu are generated to four segments with the length of NzcOf a frequency domain ZC sequence Qi(k)，i＝1,2,3,4，k＝0,1,2,...Nzc-1；
2b) Four sections of different frequency domain ZC sequences Qi(k) Respectively carrying out IFFT operation to correspondingly generate a time domain ZC sequence qi(n), the four time domain ZC sequences q (n) are spliced to generate a symbol timing synchronization sequence A (m);
2c) generating a length of 2NzcThe frequency domain ZC sequence D (k) is subjected to IFFT operation to obtain a time domain ZC sequence d (n), and the d (n) is repeated once in the time domain to generate a frequency offset estimation sequence B (m);
(3) a symbol timing synchronization sequence A (m), a frequency offset estimation sequence B (m) and a single carrier signal xsc(N) framing in the time domain to generate a transmission signal x (N), and then converting the generated transmission signal x (N) from NtTransmitting antenna to mine channel, NtThe receiving signal y (n) is obtained;
(4) the symbol timing synchronization sequence A (m) is operated with symbol timing synchronization operation to obtain the timing synchronization position
Figure FDA0003380849990000021
(4a) Respectively carrying out cross-correlation operation on four ZC sequences in the symbol timing synchronization sequence A (m) and a received signal y (n) to obtain four partial correlation value sequences per _ cor of symbol timing synchronizationi(r); is represented as follows:
Figure FDA0003380849990000022
wherein i represents the i-th ZC sequence in the symbol timing synchronization sequence A (m), r represents the current time, NAThe length of the symbol timing synchronization sequence A (m) is represented as 512, n represents the data index in the data block, (-)*Represents taking the conjugate, y (-) represents the received signal at the current time;
(4b) synchronizing the timing of four symbols with a sequence of partial correlation values per _ cori(r) performing modulo and accumulation operations to generateGenerating a correlation value sequence cor (r) finally used for symbol timing synchronization; is represented as follows:
Figure FDA0003380849990000023
where r represents the current time, i represents the i-th ZC sequence in the symbol timing synchronization sequence A (m), and | is the symbol timing synchronization partial correlation value sequence per _ coriA modulus value of (r);
(4c) performing a maximum operation on the symbol timing synchronization correlation value sequence cor (r) to obtain a timing synchronization position
Figure FDA0003380849990000024
(5) Performing frequency offset compensation by using a frequency offset estimation sequence B (m) to obtain a receiving signal y' (n) after frequency offset compensation:
(5a) synchronizing positions according to timing
Figure FDA0003380849990000025
Obtaining the initial position of the frequency offset estimation sequence B (m) in the received signal y (n):
Figure FDA0003380849990000026
wherein N isAIndicates the length of the symbol timing synchronization sequence a (m); performing autocorrelation operation on two ZC sequences in the frequency offset estimation sequence B (m) to obtain a frequency offset estimation correlation value P;
(5b) performing frequency offset estimation operation on the frequency offset estimation correlation value P to obtain a frequency offset estimation value
Figure FDA0003380849990000027
(5c) Using frequency offset estimates
Figure FDA0003380849990000028
Carrying out frequency offset compensation operation on the received signal y (n) to obtain a received signal y' (n) after frequency offset compensation;
(6) and sequentially carrying out space-time decoding and channel equalization on the received signal y' (n), and carrying out demapping operation on the equalized signal to obtain an output signal.
2. The method of claim 1, wherein the symbol timing synchronization correlation value sequence cor (r) is subjected to the most significant operation in (4c), and the formula is as follows:
Figure FDA0003380849990000031
wherein the content of the first and second substances,
Figure FDA0003380849990000032
which indicates the position of the timing synchronization,
Figure FDA0003380849990000033
indicating the value of r at which the maximum value is taken.
3. The method of claim 1, wherein the frequency offset estimation correlation value P generated in (5a) is expressed as follows:
Figure FDA0003380849990000034
where m denotes the data index in the data block, rBDenotes the start position of a frequency offset estimation sequence B (m) in the received signal, ε denotes the frequency offset of the received signal, N denotes the data length, d (-) denotes the ZC sequence in the received signal, z (-) denotes the noise term in the received signal, y (-) denotes the received signal at the current time, NdRepresenting the length (m) of the frequency offset estimation sequence B
Figure FDA0003380849990000035
The value is 256.
4. The method of claim 1Method, characterized in that (5b) the intermediate frequency offset estimate
Figure FDA0003380849990000036
Calculated by the following formula:
Figure FDA0003380849990000037
where arg (·) denotes a phase finding operation.
5. The method of claim 1, wherein the frequency offset compensation of the received signal y (n) in (5c) is performed by the following equation:
Figure FDA0003380849990000038
wherein y' (n) is the received signal after frequency offset compensation, e represents a natural base number, j represents an imaginary unit,
Figure FDA0003380849990000041
indicating the frequency offset estimate and N the data length.
6. The method of claim 1, wherein the space-time decoding of the frequency offset compensated received signal y' (n) in (6) is performed according to the following formula:
Figure FDA0003380849990000042
Figure FDA0003380849990000043
wherein the content of the first and second substances,
Figure FDA0003380849990000044
and
Figure FDA0003380849990000045
respectively representing frequency domain signals decoded by a first receiving antenna and a second receiving antenna; lambda11Representing the frequency domain response, Λ, of the channel between the first receive antenna and the first transmit antenna12Representing the frequency-domain response, Λ, of the channel between the first receiving antenna and the second transmitting antenna21Representing the frequency-domain response, Λ, of the channel between the second receive antenna and the first transmit antenna22Representing a channel frequency domain response between the second receive antenna and the second transmit antenna; y is11Meaning that the first receiving antenna receives a frequency domain signal from the first transmitting antenna, Y12Indicating that the first receiving antenna receives a frequency domain signal from the second transmitting antenna, Y21Indicating that the second receiving antenna receives the frequency domain signal from the first transmitting antenna, Y22Indicating that the second receive antenna receives frequency domain signals from the second transmit antenna.
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