CN111131106A - Frequency offset estimation method, system, storage medium and receiving device of communication signal - Google Patents

Frequency offset estimation method, system, storage medium and receiving device of communication signal Download PDF

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CN111131106A
CN111131106A CN201811287703.1A CN201811287703A CN111131106A CN 111131106 A CN111131106 A CN 111131106A CN 201811287703 A CN201811287703 A CN 201811287703A CN 111131106 A CN111131106 A CN 111131106A
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frequency offset
offset estimation
communication signal
phase difference
signal
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CN111131106B (en
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朱士彬
杜翀
田欣
张敏
章炜
童子磊
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Shanghai Advanced Research Institute of CAS
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/0014Carrier regulation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/0014Carrier regulation
    • H04L2027/0024Carrier regulation at the receiver end
    • H04L2027/0026Correction of carrier offset
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Abstract

The invention provides a frequency offset estimation method, a system, a storage medium and a receiving device of communication signals, comprising the following steps: receiving N times of transmitting signals with the length of M, which are sent by a communication signal transmitting end, wherein the transmitting signals become receiving signals with the length of M x N after being transmitted through a channel; performing cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r; carrying out conjugate multiplication operation of different combinations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators; summing and averaging the N x (N-1)/2 phase difference estimators to obtain a phase difference estimation result; and calculating the phase difference estimation result to obtain a frequency offset estimation value. The invention discloses a frequency offset estimation method, a frequency offset estimation system, a storage medium and a receiving device of communication signals, which are used for calculating a frequency offset estimation value.

Description

Frequency offset estimation method, system, storage medium and receiving device of communication signal
Technical Field
The present invention relates to the field of communications technologies, and in particular, to a method, a system, a storage medium, and a receiving apparatus for estimating a frequency offset of a communication signal.
Background
In wireless communication systems, frequency synchronization is a prerequisite and basis for correct transmission of data. In general, the frequency offset of the received signal mainly consists of two parts, namely carrier frequency offset and doppler frequency offset. The carrier frequency offset is caused by the difference of the frequencies of the receiver crystal oscillator and the transmitter crystal oscillator, and the doppler frequency offset is formed by the relative movement between the transmitter and the receiver, and the frequency offsets can add a time-varying phase rotation to the received signal, thereby causing the reduction of the received signal-to-noise ratio and affecting the communication quality. In order to obtain high communication quality, it is necessary to estimate the frequency offset, and perform frequency tracking and compensation through automatic frequency control.
Common methods of frequency offset estimation are based on the insertion of a preamble, pilot or cyclic prefix in the synchronization signal. The transmitter inserts a training sequence for frequency offset estimation into a synchronization signal, and when a receiver receives the synchronization signal, an autocorrelation method is used for extracting the phase difference between two front and rear identical sequences, so that frequency offset estimation is performed.
In the course of implementing the present invention, the inventors found that at least the following problems exist in the prior art.
Under the conditions of poor communication conditions and low signal-to-noise ratio, the synchronous signals are submerged by noise, so that the statistical estimator for extracting the frequency offset is greatly influenced, the estimation is inaccurate, and the mean square error is large. The frequency offset compensation of the received signal using the estimation result does not only produce any gain, but also degrades the reception performance.
Therefore, it is desirable to solve the problem of how to better perform frequency offset estimation to avoid performance degradation due to frequency offset compensation of the received signal using the estimation result calculated by the autocorrelation method.
Disclosure of Invention
In view of the above-mentioned shortcomings of the prior art, an object of the present invention is to provide a method, a system, a storage medium and a receiving apparatus for frequency offset estimation of a communication signal, which are used to solve the problem of how to better perform frequency offset estimation in the prior art, so as to avoid performance degradation caused by performing frequency offset compensation on a received signal by using an estimation result calculated by an autocorrelation method.
To achieve the above and other related objects, the present invention provides a method for estimating frequency offset of a communication signal, comprising the steps of: receiving N transmitting signals with the length of M sent by a communication signal transmitting end, wherein the transmitting signals become receiving signals with the length of M x N after being transmitted through a channel; performing cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r; carrying out conjugate multiplication operation of different combinations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators; summing and averaging the N x (N-1)/2 phase difference estimators to obtain a phase difference estimation result; and calculating the phase difference estimation result to obtain a frequency offset estimation value.
In an embodiment of the present invention, the number M of the transmission signals is represented as
Figure BDA0001849429860000021
The power of the transmitted signal has been normalized
Figure BDA0001849429860000022
In an embodiment of the invention, the length of the received signal is represented by M × N
Figure BDA0001849429860000023
The N frequency offset estimation intermediate quantities r are based on
Figure BDA0001849429860000024
And j is more than or equal to 1 and less than or equal to M, and i is more than or equal to 1 and less than or equal to N.
In an embodiment of the present invention, the N x (N-1)/2 phase difference estimator is
Figure BDA0001849429860000025
Figure BDA0001849429860000026
In the inventionIn one embodiment, the method further comprises
Figure BDA0001849429860000027
Calculating frequency deviation estimated value fd,fsTo sample rate, θ is the phase difference estimation result.
To achieve the above object, the present invention further provides a frequency offset estimation system for communication signals, including: the device comprises a receiving module, a first operation module, a second operation module, a third operation module and a fourth operation module; the receiving module is used for receiving N times of transmitting signals with the number of M, which are sent by a communication signal transmitting end, and the transmitting signals become M × N receiving signals after being transmitted through a channel; the first operation module is used for performing cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r; the second operation module is used for carrying out conjugate multiplication operation of different combinations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators; the third operation module is used for summing and averaging the N x (N-1)/2 phase difference estimators to obtain a phase difference estimation result; and the fourth operation module is used for calculating the phase difference estimation result to obtain a frequency offset estimation value.
To achieve the above object, the present invention further provides a computer-readable storage medium having a computer program stored thereon, which when executed by a processor, implements a frequency offset estimation method for any of the above communication signals.
In order to achieve the above object, the present invention also provides a receiving apparatus, comprising: a processor and a memory; the memory is used for storing a computer program; the processor is connected to the memory and configured to execute the computer program stored in the memory, so as to enable the receiving apparatus to execute any of the above-mentioned frequency offset estimation methods for communication signals.
Finally, the present invention also provides a system for estimating frequency offset of a communication signal, comprising: the communication signal receiving device and the communication signal transmitting device are included; the communication signal transmitting device is used for transmitting N transmitting signals with the length of M.
In an embodiment of the invention, the communication signal receiving device is an antenna, an amplifier, a filter, a mixer, an analog-to-digital converter, or a processor.
As described above, the method, system, storage medium and receiving apparatus for estimating frequency offset of communication signal according to the present invention have the following advantages: calculating to obtain a frequency offset estimation value based on a frequency offset cross-correlation method; when the frequency offset estimation value is applied to frequency offset compensation of a received signal, the performance can be improved, and the gain can be increased. In addition, when the signal condition is better, the simplified algorithm can be used for estimating the frequency offset more quickly, the calculation amount can be reduced by the simplified algorithm, and the synchronization speed is improved.
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FIG. 1 is a flow chart illustrating a method of frequency offset estimation of a communication signal in accordance with an embodiment of the present invention;
FIG. 2 is a schematic diagram of the relationship between the lengths of the transmitted signal and the received signal in one embodiment of the present invention;
FIG. 3 is a diagram illustrating an embodiment of cross-correlating the received signal with the transmitted signal to obtain N intermediate quantities r of frequency offset estimation;
fig. 4 is a schematic diagram of the present invention performing different combinations of conjugate multiplication operations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators in an embodiment;
FIG. 5 is a diagram illustrating the residual frequency offset statistics of the 1kHz frequency offset cross-correlation method of the present invention in one embodiment;
FIG. 6 is a diagram illustrating the residual frequency offset statistics of the 1kHz frequency offset autocorrelation method of the present invention in one embodiment;
FIG. 7 is a diagram illustrating the residual frequency offset statistics of the 2kHz frequency offset cross-correlation method of the present invention in one embodiment;
FIG. 8 is a diagram illustrating the residual frequency offset statistics of the 2kHz frequency offset autocorrelation method of the present invention in one embodiment;
FIG. 9 is a diagram illustrating the residual frequency offset statistics of the 1kHz frequency offset cross-correlation method of the present invention in one embodiment;
FIG. 10 is a diagram illustrating the residual frequency offset statistics of the 1kHz frequency offset autocorrelation method of the present invention in one embodiment;
FIG. 11 is a block diagram illustrating a system for frequency offset estimation of communication signals in accordance with an embodiment of the present invention;
fig. 12 is a schematic structural diagram of a communication signal receiving apparatus according to an embodiment of the present invention;
fig. 13 is a schematic diagram illustrating a frequency offset estimation system for communication signals according to another embodiment of the present invention.
Description of the element reference numerals
111 receiving module
112 first operation module
113 second operation module
114 third operation module
115 fourth operation module
121 processor
122 memory
131 communication signal receiving device
132 communication signal transmitting device
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and effects of the present invention will be easily understood by those skilled in the art from the disclosure of the present specification. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. It is to be noted that the features in the following embodiments and examples may be combined with each other without conflict.
It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention, and the components related to the present invention are only shown in the drawings rather than drawn according to the number, shape and size of the components in actual implementation, and the type, quantity and proportion of the components in actual implementation may be changed freely, and the layout of the components may be more complicated.
The frequency offset estimation method, the system, the storage medium and the receiving device of the communication signal calculate the frequency offset estimation value based on the frequency offset cross-correlation method; when the frequency offset estimation value is applied to frequency offset compensation of a received signal, the performance can be improved, and the gain can be increased.
As shown in fig. 1, in an embodiment, a method for estimating a frequency offset of a communication signal of the present invention includes the following steps:
and step S11, receiving N times of M transmitting signals sent by the communication signal transmitting end, wherein the transmitting signals become M × N receiving signals after channel transmission.
In an embodiment of the present invention, the N times of M transmission signals are normalized circulant modulation complex signals, and the length of the M normalized circulant modulation complex signals can be expressed as
Figure BDA0001849429860000041
The transmission signal includes, but is not limited to, 2PSK (2PSK is the simplest form of Phase shift keying, which uses two carriers separated by 180 degrees in Phase to carry binary information, and is also called BPSK), QPSK (Quadrature Phase shift keying (QPSK) is a digital modulation method, which is divided into two types of absolute Phase shift and relative Phase shift), and so on. The transmitted signal is a normalized signal. Specifically, XkK in (3) may be denoted as M × N, where M is 2 and N is 3 when k is 2 × 3, and is denoted as the 3 rd transmitted complex signal
Figure BDA0001849429860000042
X in (2)2Said M x N received signals are represented as
Figure BDA0001849429860000043
As shown in fig. 2, in one embodiment, a transmit signal of length M is sent N times to obtain a receive signal of length M × N after being transmitted through a channel.
And step S12, performing cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r.
In an embodiment of the invention, the received signal with length M × N is represented as
Figure BDA0001849429860000044
The N frequency offset estimation intermediate quantities r are based on
Figure BDA0001849429860000051
And j is more than or equal to 1 and less than or equal to M, and i is more than or equal to 1 and less than or equal to N. Said xj *And xjIn complex conjugate relation.
Specifically, as shown in FIG. 3, r1=y1*N+1*x1 *+y1*N+2*x2 *+…+y1*N+M*xM *,rs=ys*N+1*x1 *+ys*N+2*x2 *+…+ys*N+M*xM *
And step S13, carrying out conjugate multiplication operation of different combinations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators.
In an embodiment of the present invention, the N x (N-1)/2 phase difference estimator is
Figure BDA0001849429860000052
Figure BDA0001849429860000053
Wherein r isj *And rjIn complex conjugate relation.
In particular, as shown in figure 4,
Figure BDA0001849429860000054
Figure BDA0001849429860000055
in general, the S13 step requires calculation of N x (N-1)/2 ri. Simplifying the algorithm when the SNR is high (compared to the case of worse signal quality) can reduce the calculated riThe number of (2) can be counted, for example,therefore, the calculation amount can be reduced, and the synchronization speed can be improved. Specifically, when the SNR is high, the simplified algorithm may perform a cross-correlation operation on the received signal and the transmitted signal in step S12 to obtain N intermediate quantities r of frequency offset estimation, and then only calculate one or two r values, for example, only calculate r1And r2. The subsequent step S13 only needs to be performed on r1And r2And carrying out conjugate multiplication operation of different combinations to obtain a phase difference estimator.
And step S14, summing and averaging the N x (N-1)/2 phase difference estimators to obtain a phase difference estimation result.
In an embodiment of the present invention, the estimator for the N x (N-1)/2 phase differences is
Figure BDA0001849429860000056
Sum, i<j is more than or equal to 1 and less than or equal to M, and i is more than or equal to 1 and less than or equal to N, and a phase difference estimation result is obtained. The phase difference estimation result
Figure BDA0001849429860000057
I.e. all thetai,jThe sum average of (a).
And step S15, calculating the phase difference estimation result to obtain a frequency offset estimation value.
In an embodiment of the present invention, further comprising
Figure BDA0001849429860000058
Calculating frequency deviation estimated value fd,fsTo sample rate, θ is the phase difference estimation result.
As shown in FIG. 5, in one embodiment, a residual frequency offset system diagram of the 1kHz frequency offset cross-correlation method is shown; as shown in fig. 6, which is a statistical graph of residual frequency offset of 1kHz frequency offset autocorrelation method. As can be seen, both methods can estimate the frequency offset. The residual frequency offset obtained by the method is smaller.
As shown in FIG. 7, in one embodiment, a 2kHz frequency offset cross-correlation method residual frequency offset statistical chart is shown; as shown in fig. 8, a residual frequency offset statistical chart of the 2kHz frequency offset autocorrelation method. It can be seen from the figure that the frequency offset cannot be estimated by the autocorrelation method, and the method of the present invention can estimate the frequency offset and reduce the residual frequency offset.
As shown in FIG. 9, in one embodiment, a statistical plot of residual frequency offsets for the 1kHz frequency offset cross-correlation method is shown; a residual frequency offset statistical chart of the 1kHz frequency offset autocorrelation method as shown in fig. 10. It can be seen from the figure that the frequency offset cannot be estimated by the autocorrelation method, and the method of the present invention can estimate the frequency offset and reduce the residual frequency offset. Fig. 5 and 6 are different from fig. 9 and 10 in SNR (signal-to-noise ratio) values. The SNR of FIGS. 5 and 6 is-10 dB, and the SNR of FIGS. 9 and 10 is-20 dB. Compared with the traditional communication equipment adopting the self-correlation method, the communication equipment adopting the cross-correlation method has the technical effects that the estimation variance of the communication equipment is smaller in theory; under the condition of training symbols with the same length, the theoretical variance is reduced to be original
Figure BDA0001849429860000061
SNR: SIGNAL to noise ratio SIGNAL noise interference. In addition, the cross-correlation method of the difference mode can offset the initial phase of the signal, and the estimation precision is improved.
As shown in fig. 11, in an embodiment of the system for estimating frequency offset of a communication signal according to the present invention, the system includes a receiving module 111, a first operation module 112, a second operation module 113, a third operation module 114, and a fourth operation module 115.
The receiving module 111 is configured to receive N transmit signals with a length of M sent by a communication signal transmitting end, where the transmit signals are transmitted through a channel to form receive signals with a length of M × N.
In an embodiment of the present invention, the N length-M transmission signals are normalized circulant modulation complex signals, and the length-M normalized circulant modulation complex signals can be expressed as
Figure BDA0001849429860000062
The transmission signal includes but is not limited to QPSK (Quadrature Phase Shift keying) which is a digital modulation scheme, and is divided into two types of absolute Phase Shift and relative Phase Shift), 2PSK (2PSK is the simplest form of Phase Shift keying, and it uses two carriers with initial Phase separation of 180 to transmitBinary information, so also called BPSK), etc. Specifically, XkK in (3) may be denoted as M × N, where M is 2 and N is 3 when k is 2 × 3, and is denoted as the 3 rd transmitted complex signal
Figure BDA0001849429860000063
X in (2)2Said received signal of length M x N is denoted as
Figure BDA0001849429860000064
In one embodiment, the transmit signal of length M is sent N times to obtain the receive signal of length M × N after being transmitted through the channel.
The first operation module 112 is configured to perform cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r.
In an embodiment of the present invention, the length M of the received signals is expressed as
Figure BDA0001849429860000065
The N frequency offset estimation intermediate quantities r are based on
Figure BDA0001849429860000071
And j is more than or equal to 1 and less than or equal to M, and i is more than or equal to 1 and less than or equal to N. Said xj *And xjIn complex conjugate relation.
Specifically, r1=y1*N+1*x1 *+y1*N+2*x2 *+…+y1*N+M*xM *,rs=ys*N+1*x1 *+ys*N+2*x2 *+…+ys*N+M*xM *
The second operation module 113 is configured to perform conjugate multiplication operations of different combinations on the N frequency offset estimation intermediate quantities r to obtain N × N-1/2 phase difference estimators.
In an embodiment of the present invention, the N x (N-1)/2 phase difference estimator is
Figure BDA0001849429860000072
Figure BDA0001849429860000073
Wherein r isj *And rjIn complex conjugate relation.
In particular, the amount of the solvent to be used,
Figure BDA0001849429860000074
Figure BDA0001849429860000075
the third operation module 114 is configured to sum and average the N × N-1/2 phase difference estimators to obtain a phase difference estimation result.
In an embodiment of the present invention, the estimator for the N x (N-1)/2 phase differences is
Figure BDA0001849429860000076
Sum, i<j is more than or equal to 1 and less than or equal to M, and i is more than or equal to 1 and less than or equal to N, and a phase difference estimation result is obtained. The phase difference estimation result
Figure BDA0001849429860000077
I.e. all thetai,jThe sum average of (a).
The fourth operation module 115 is configured to calculate the phase difference estimation result to obtain a frequency offset estimation value.
In an embodiment of the present invention, further comprising
Figure BDA0001849429860000078
Calculating frequency deviation estimated value fd,fsTo sample rate, θ is the phase difference estimation result.
It should be noted that the division of the modules of the above system is only a logical division, and the actual implementation may be wholly or partially integrated into one physical entity, or may be physically separated. And these modules can be realized in the form of software called by processing element; or may be implemented entirely in hardware; and part of the modules can be realized in the form of calling software by the processing element, and part of the modules can be realized in the form of hardware. For example, the x module may be a processing element that is set up separately, or may be implemented by being integrated in a chip of the apparatus, or may be stored in a memory of the apparatus in the form of program code, and the function of the x module may be called and executed by a processing element of the apparatus. Other modules are implemented similarly. In addition, all or part of the modules can be integrated together or can be independently realized. The processing element described herein may be an integrated circuit having signal processing capabilities. In implementation, each step of the above method or each module above may be implemented by an integrated logic circuit of hardware in a processor element or an instruction in the form of software.
For example, the above modules may be one or more integrated circuits configured to implement the above methods, such as: one or more Application Specific Integrated Circuits (ASICs), one or more microprocessors (DSPs), one or more Field Programmable Gate arrays (receivers), etc. For another example, when one of the above modules is implemented in the form of a Processing element scheduler code, the Processing element may be a general-purpose processor, such as a Central Processing Unit (CPU) or other processor capable of calling program code. For another example, these modules may be integrated together and implemented in the form of a system-on-a-chip (SOC).
In an embodiment of the present invention, the present invention further includes a computer-readable storage medium, on which a computer program is stored, where the computer program is executed by a processor to implement any of the above-mentioned frequency offset estimation methods for communication signals.
Those of ordinary skill in the art will understand that: all or part of the steps for implementing the above method embodiments may be performed by hardware associated with a computer program. The aforementioned computer program may be stored in a computer readable storage medium. When executed, the program performs steps comprising the method embodiments described above; and the aforementioned storage medium includes: various media that can store program codes, such as ROM, RAM, magnetic or optical disks.
As shown in fig. 10, in an embodiment, the receiving apparatus of the present invention includes: a processor 121 and a memory 122; the memory 122 is used for storing computer programs; the processor 121 is connected to the memory 122, and is configured to execute the computer program stored in the memory 122, so as to enable the receiving apparatus to execute any of the frequency offset estimation methods for communication signals.
Specifically, the memory 122 includes: various media that can store program codes, such as ROM, RAM, magnetic disk, U-disk, memory card, or optical disk.
Preferably, the Processor 121 may be a general-purpose Processor, including a Central Processing Unit (CPU), a Network Processor (NP), and the like; the device may also be a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field programmable gate Array (Field programmable gate Array, or other programmable logic device, discrete gate or transistor logic device, or discrete hardware components.
As shown in fig. 11, in an embodiment, the system for estimating frequency offset of communication signals of the present invention includes the communication signal receiving apparatus 131 and the communication signal transmitting apparatus 132. The communication signal transmitting device 132 is configured to transmit N times of M transmission signals.
In an embodiment of the present invention, the communication signal receiving device includes, but is not limited to, an antenna, an amplifier, a filter, a mixer, an analog-to-digital converter, or a processor.
In summary, the frequency offset estimation method, system, storage medium and receiving apparatus of communication signals of the present invention calculate the frequency offset estimation value based on the frequency offset cross-correlation method; when the frequency offset estimation value is applied to frequency offset compensation of a received signal, the performance can be improved, and the gain can be increased. Therefore, the invention effectively overcomes various defects in the prior art and has high industrial utilization value.
The foregoing embodiments are merely illustrative of the principles and utilities of the present invention and are not intended to limit the invention. Any person skilled in the art can modify or change the above-mentioned embodiments without departing from the spirit and scope of the present invention. Accordingly, it is intended that all equivalent modifications or changes which can be made by those skilled in the art without departing from the spirit and technical spirit of the present invention be covered by the claims of the present invention.

Claims (10)

1. A method of frequency offset estimation of a communication signal, comprising the steps of:
receiving N transmitting signals with the length of M sent by a communication signal transmitting end, wherein the transmitting signals become receiving signals with the length of M x N after being transmitted through a channel;
performing cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r;
carrying out conjugate multiplication operation of different combinations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators;
summing and averaging the N x (N-1)/2 phase difference estimators to obtain a phase difference estimation result;
and calculating the phase difference estimation result to obtain a frequency offset estimation value.
2. The method of claim 1, wherein said number M of transmitted signals is represented as
Figure FDA0001849429850000011
The power of the transmitted signal has been normalized
Figure FDA0001849429850000012
1≤k≤M*N。
3. The method of frequency offset estimation of a communication signal of claim 2 wherein said length isThe received signal denoted as M N
Figure FDA0001849429850000013
The N frequency offset estimation intermediate quantities r are based on
Figure FDA0001849429850000014
And j is more than or equal to 1 and less than or equal to M, and i is more than or equal to 1 and less than or equal to N.
4. A method of frequency offset estimation of a communication signal in accordance with claim 3, wherein said N x (N-1)/2 phase difference estimators are
Figure FDA0001849429850000015
i<j,1≤j≤M,1≤i≤N。
5. The method of frequency offset estimation of a communication signal of claim 4, further comprising estimating a frequency offset based on
Figure FDA0001849429850000016
Calculating frequency deviation estimated value fd,fsTo sample rate, θ is the phase difference estimation result.
6. A system for frequency offset estimation of a communication signal, comprising: the device comprises a receiving module, a first operation module, a second operation module, a third operation module and a fourth operation module;
the receiving module is used for receiving N times of transmitting signals with the number of M, which are sent by a communication signal transmitting end, and the transmitting signals become M × N receiving signals after being transmitted through a channel;
the first operation module is used for performing cross-correlation operation on the received signal and the transmitted signal to obtain N frequency offset estimation intermediate quantities r;
the second operation module is used for carrying out conjugate multiplication operation of different combinations on the N frequency offset estimation intermediate quantities r to obtain N x (N-1)/2 phase difference estimators;
the third operation module is used for summing and averaging the N x (N-1)/2 phase difference estimators to obtain a phase difference estimation result;
and the fourth operation module is used for calculating the phase difference estimation result to obtain a frequency offset estimation value.
7. A computer-readable storage medium, on which a computer program is stored, which program, when being executed by a processor, is adapted to carry out a method of frequency offset estimation of a communication signal according to any one of claims 1 to 5.
8. A communication signal receiving apparatus, comprising: a processor and a memory;
the memory is used for storing a computer program;
the processor is coupled to the memory and is configured to execute the computer program stored in the memory to cause the communication signal receiving apparatus to perform the method of frequency offset estimation of a communication signal according to any of claims 1 to 5.
9. A system for frequency offset estimation of a communication signal, comprising the communication signal receiving apparatus and the communication signal transmitting apparatus of claim 8; the communication signal transmitting device is used for transmitting N transmitting signals with the length of M.
10. The system for frequency offset estimation of a communication signal of claim 9, wherein said communication signal receiving means is an antenna, an amplifier, a filter, a mixer, an analog-to-digital converter, or a processor.
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