CN113630353B - Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform - Google Patents

Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform Download PDF

Info

Publication number
CN113630353B
CN113630353B CN202110919213.4A CN202110919213A CN113630353B CN 113630353 B CN113630353 B CN 113630353B CN 202110919213 A CN202110919213 A CN 202110919213A CN 113630353 B CN113630353 B CN 113630353B
Authority
CN
China
Prior art keywords
signal
frame
fourier transform
output signal
data
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202110919213.4A
Other languages
Chinese (zh)
Other versions
CN113630353A (en
Inventor
沙学军
宋鸽
房宵杰
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Harbin Institute of Technology
Original Assignee
Harbin Institute of Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Harbin Institute of Technology filed Critical Harbin Institute of Technology
Priority to CN202110919213.4A priority Critical patent/CN113630353B/en
Publication of CN113630353A publication Critical patent/CN113630353A/en
Application granted granted Critical
Publication of CN113630353B publication Critical patent/CN113630353B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03012—Arrangements for removing intersymbol interference operating in the time domain
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03159—Arrangements for removing intersymbol interference operating in the frequency domain
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03343—Arrangements at the transmitter end

Landscapes

  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)

Abstract

A signal time frequency energy complete averaging transmission method based on extended weighted fractional Fourier transform belongs to the technical field of wireless communication. The invention solves the problem of poor capability of dispersing and compensating channel fading in the existing method. According to the invention, by means of the Fourier transform of the extended weighted fraction, the design of the extended mixed carrier signal with the time domain energy averaging characteristic and the frequency domain energy averaging characteristic is realized. Under a fading channel, the energy loss of each symbol is shared by the other symbols, the energy of each symbol is well reserved, and a receiving end can realize the recovery of the signal with high probability only by carrying out corresponding inverse transformation. The scheme provided by the invention greatly improves the dispersion and compensation capability of channel fading, effectively reduces the error rate under the fading channel and improves the reliability of a communication system. Meanwhile, the method has better compatibility with the existing communication system. The invention can be applied to the technical field of wireless communication.

Description

Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform.
Background
In the technical field of wireless communication, a single carrier and a multi-carrier are two standardized mainstream communication systems at present, and a single carrier signal has good frequency domain energy distribution and is sensitive to time domain dispersion; the multi-carrier signal is more suitable for resisting time selective fading due to good time domain energy distribution. On the basis, the mixed carrier system combines the advantages of the two systems, and the signal energy is dispersed and backed up on a time-frequency plane through weighted fractional Fourier transform, so that the superior performance under a time-frequency double-fading channel is obtained. However, the existing method can not realize the complete average distribution of signal energy in the time-frequency plane, and the capability of dispersing and compensating channel fading still has room for improvement. This results in poor performance of the existing communication scheme against channel fading and low reliability of transmission, and therefore, designing the time-frequency energy distribution of the signal to further improve the reliability of transmission becomes a problem worthy of study.
Disclosure of Invention
The invention aims to solve the problem that the existing method has poor capability of dispersing and compensating channel fading, and provides a signal time-frequency energy complete-averaging transmission method.
The technical scheme adopted by the invention for solving the technical problems is as follows:
based on one aspect of the invention, the method comprises the steps of dividing 0-bit data and 1-bit data generated by an information source into a plurality of frames with the same length at a transmitting end, respectively carrying out expansion weighted score Fourier transform on each frame of data, and obtaining an output signal of each frame of data after the expansion weighted score Fourier transform;
the mode of the spread weighted score Fourier transform is as follows:
Figure BDA0003206764240000011
wherein, FkRepresents the k frame data, Fk1Representing the output signal of the k frame data after the expansion weighted fractional Fourier transform, the superscript T representing the transposition, E being the transform matrix, betalFor the weighting coefficient, L is the length of each frame of data, and L is 2NN is a positive integer, L ═ 0, 1.., L-1;
the transformation matrix E is specifically represented as:
[E]m，n＝δ(<n-m-1>L)
in the formula [ ·]m，nRepresents the m-th row and n-column elements in the transformation matrix E, wherein m is 0,1, and.<·>The representation of the remainder is carried out,<n-m-1>Lthe expression n-m-1 is divided by L to obtain the remainder, and delta (-) expresses a unit impulse function;
the unit impulse function δ (·) satisfies:
Figure BDA0003206764240000021
wherein p is an independent variable of the unit impulse function;
weighting coefficient betalThe concrete expression is as follows:
Figure BDA0003206764240000022
wherein i is an imaginary unit, erIs an intermediate variable;
intermediate variable erThe concrete expression is as follows:
Figure BDA0003206764240000023
wherein the content of the first and second substances,
Figure BDA0003206764240000024
Figure BDA0003206764240000025
denotes rounded down, μrIs a variable parameter, mur∈(０，2π]Mod (N,2) represents the remainder of dividing N by 2;
then, for each frame data corresponding output signal Fk1And K is 1,2, …, and the processed signal is sent to a channel, wherein K is the total frame number.
Based on another aspect of the invention, a signal time-frequency energy complete-averaging transmission method based on the extended weighted score Fourier transform is provided, wherein at a sending end, after 0-bit data and 1-bit data generated by an information source are divided into a plurality of frames with the same length, the extended weighted score Fourier transform is respectively carried out on each frame of data, and an output signal of each frame of data after the extended weighted score Fourier transform is carried out is obtained;
the mode of the spread weighted score Fourier transform is as follows:
Figure BDA0003206764240000026
wherein, FkRepresents the k frame data, Fk1Representing the output signal of the k frame data after the expansion weighted fractional Fourier transform, the superscript T representing the transposition, E being the transform matrix, betalFor the weighting coefficient, L is the length of each frame of data, and L is 2NN is a positive integer, L ═ 0, 1.., L-1;
the transformation matrix E is specifically represented as:
[E]m，n＝δ(<n-m+1>L)
in the formula [ ·]m，nRepresents the m-th row and n-column elements in the transformation matrix E, wherein m is 0,1, and.<·>The representation of the remainder is carried out,<n-m+1>Lthe expression n-m +1 is divided by L to obtain the remainder, and delta (-) expresses a unit impulse function;
the unit impulse function δ (·) satisfies:
Figure BDA0003206764240000031
wherein p is an independent variable of the unit impulse function;
weighting coefficient betalThe concrete expression is as follows:
Figure BDA0003206764240000032
wherein i is an imaginary unit, erIs an intermediate variable;
intermediate variable erThe concrete expression is as follows:
Figure BDA0003206764240000033
wherein the content of the first and second substances,
Figure BDA0003206764240000034
Figure BDA0003206764240000035
denotes rounded down, μrIs a variable parameter, mur∈(０，2π]Mod (N,2) represents the remainder of dividing N by 2;
then, for each frame data corresponding output signal Fk1And K is 1,2, …, and the processed signal is sent to a channel, wherein K is the total frame number.
The invention has the beneficial effects that: the invention provides a signal time frequency energy complete averaging transmission method based on extended weighted fractional Fourier transform, which is characterized in that time domain symbol energy in a data block is completely averaged by performing the extended weighted fractional Fourier transform on a modulated signal, each spectral line comprises all symbol energy, and each symbol energy is completely quantized equally, so that an extended mixed carrier signal form with both time domain energy averaging characteristic and frequency domain energy averaging characteristic is formed. Under the fading channel, because the signal energy is completely and evenly distributed on the time-frequency plane, the energy loss of a single symbol subjected to time-frequency random fading is shared by other symbols, and the energy is better reserved, so that the dispersion and compensation capacity for the channel fading is improved. The receiving end can realize the recovery of the signal with high probability only by carrying out corresponding inverse transformation.
The method of the invention disperses and compensates the channel fading, effectively reduces the error rate under the fading channel, and improves the anti-fading performance and the transmission reliability of the communication system. Meanwhile, the method has better compatibility with the existing communication system.
Drawings
FIG. 1 is a block diagram of a transmitter system of a method for fully averaging and transmitting time-frequency energy of signals based on extended weighted fractional Fourier transform according to the present invention;
FIG. 2 is a block diagram of a receiver system of a method for full-averaging transmission of time-frequency energy of a signal based on an extended weighted fractional Fourier transform according to the present invention;
FIG. 3 is a schematic diagram of an extended weighted fractional Fourier transform;
in the figure:
Figure BDA0003206764240000041
respectively the 1 st bit, the 2 nd bit, the i +1 th bit, the L th bit, the i th bit, the L-1 th bit and the 3 rd bit of the current frame data,
Figure BDA0003206764240000042
the (i-L +1) mod L bit of the current frame data is represented, the (i-L +1) mod L represents the (i-L +1) divided by L, t represents the time domain, f represents the frequency domain, E represents the symbolEnergy;
fig. 4 is a bit error rate curve diagram of a signal time-frequency energy complete-averaging transmission method based on the extended weighted fractional fourier transform in a fading channel according to the present invention.
Wherein SC denotes a single carrier system, MC denotes a multi-carrier system, HC denotes a mixed carrier system, and EHC denotes a scheme proposed by the present invention.
Detailed Description
First embodiment this embodiment will be described with reference to fig. 1. In the method for signal time-frequency energy fully-averaged transmission based on the extended weighted score fourier transform according to the embodiment, at a transmitting end, after 0-bit data and 1-bit data generated by an information source are divided into a plurality of frames with the same length, the extended weighted score fourier transform is respectively performed on each frame of data, and an output signal of each frame of data after the extended weighted score fourier transform is performed is obtained;
the mode of the spread weighted score Fourier transform is as follows:
Figure BDA0003206764240000043
wherein, FkRepresents the k frame data, Fk1Representing the output signal of the k frame data after the expansion weighted fractional Fourier transform, the superscript T representing the transposition, E being the transform matrix, betalFor the weighting coefficient, L is the length of each frame of data, and L is 2NN is an integer, L is 0, 1.., L-1;
the transformation matrix E is specifically represented as:
[E]m，n＝δ(<n-m-1>L)
in the formula [ ·]m，nRepresents the m-th row and n-column elements in the transformation matrix E, wherein m is 0,1, and.<·>The representation of the remainder is carried out,<n-m-1>Lthe expression n-m-1 is divided by L to obtain the remainder, and delta (-) expresses a unit impulse function;
the unit impulse function δ (·) satisfies:
Figure BDA0003206764240000051
wherein p is an independent variable of the unit impulse function;
weighting coefficient betalThe concrete expression is as follows:
Figure BDA0003206764240000052
wherein i is an imaginary unit, erIs an intermediate variable;
intermediate variable erThe concrete expression is as follows:
Figure BDA0003206764240000053
wherein the content of the first and second substances,
Figure BDA0003206764240000054
Figure BDA0003206764240000055
denotes rounded down, μrIs a variable parameter, mur∈(0，2π]Mod (N,2) represents the remainder of dividing N by 2;
then, for each frame data corresponding output signal Fk1And K is 1,2, …, and the processed signal is sent to a channel, wherein K is the total frame number.
The second embodiment is as follows: the first difference between the present embodiment and the specific embodiment is: before framing 0 and 1 bit data generated by a source at a transmitting end, the method also needs to carry out the following processing steps:
and carrying out base band constellation mapping on the 0 and 1 bit data generated by the information source to obtain a modulation result after constellation mapping.
In the invention, the modulation result after constellation mapping is subjected to framing processing, and the specific process of the framing processing is as follows:
the 1 st, 2 nd, … th, nd bits of the modulation result2NBit data as the first frame, and 2 nd of the modulation resultN+1 bit, 2 nd bitN+2 position, …,2 ndN+1Bit data as the second frame, and so on.
Other steps and parameters are the same as those in the first embodiment.
The third concrete implementation mode: the present embodiment differs from the first or second embodiment in that: the output signal F corresponding to each frame datak1K is 1,2, …, and K is specifically:
output signal F corresponding to each frame datak1K is 1,2, …, K is a serial digital signal F, F is F11F21 … Fk1 … FK1]And the signal F is subjected to digital/analog conversion and up-conversion in sequence, and the processed signal is transmitted to a channel.
Other steps and parameters are the same as those in the first or second embodiment.
The fourth concrete implementation mode: this embodiment will be described with reference to fig. 2. The difference between this embodiment mode and one of the first to third embodiment modes is: in the method, at a receiving end, a received signal is subjected to down-conversion, analog/digital conversion and channel equalization in sequence;
dividing the processed signals into K frame signals with the same length, and respectively performing expansion weighted score Fourier inversion on each frame signal to obtain an output signal obtained by performing expansion weighted score Fourier inversion on each frame signal;
and expressing an output signal obtained by performing the inverse Fourier transform on each frame signal through the expanded weighted fraction as a path of serial digital signal H, and then performing constellation demapping on the signal H to recover 0 and 1 bit data.
The receiving end equally divides the signal after the channel equalization into K frame signals with equal length from the starting point of the signal after the channel equalization by adopting the same frame dividing mode as the transmitting end.
Other steps and parameters are the same as those in one of the first to third embodiments.
The fifth concrete implementation mode: the difference between this embodiment and one of the first to fourth embodiments is: the method of the expanded weighted fraction Fourier inverse transformation comprises the following steps:
Figure BDA0003206764240000061
wherein Hk′A k' frame signal obtained by dividing the channel-equalized signal, Hk′1An output signal obtained by inverse expansion weighted fractional Fourier transform of the K 'th frame signal, K' 1,2, …, K, τlIs a weighting coefficient;
weighting coefficient taulThe concrete expression is as follows:
Figure BDA0003206764240000062
wherein the intermediate variable fr＝-er。
Representing the output signal corresponding to each frame signal as a path of serial digital signal H, H ═ Y11 Y21 … Yk，1 … TK1]And performing constellation demapping on the signal H to recover 0 and 1 bit data.
In this embodiment, ElAnd erThe definition of (1) is the same as that of the transmitting end.
Other steps and parameters are the same as in one of the first to fourth embodiments.
Sixth embodiment this embodiment will be described with reference to fig. 1 and 3. In the method for signal time-frequency energy fully-averaged transmission based on the extended weighted score fourier transform according to the embodiment, at a transmitting end, after 0-bit data and 1-bit data generated by an information source are divided into a plurality of frames with the same length, the extended weighted score fourier transform is respectively performed on each frame of data, and an output signal of each frame of data after the extended weighted score fourier transform is performed is obtained;
the mode of the spread weighted score Fourier transform is as follows:
Figure BDA0003206764240000071
wherein, FkRepresents the k frame data, Fk1Representing the output signal of the k frame data after the expansion weighted fractional Fourier transform, the superscript T representing the transposition, E being the transform matrix, betalFor the weighting coefficient, L is the length of each frame of data, and L is 2NN is a positive integer, L ═ 0, 1.., L-1;
the transformation matrix E is specifically represented as:
[E]m，n＝δ(<n-m+1>L)
in the formula [ ·]m，nRepresents the m-th row and n-column elements in the transformation matrix E, wherein m is 0,1, and.<·>The representation of the remainder is carried out,<n-m+1>Lthe expression n-m +1 is divided by L to obtain the remainder, and delta (-) expresses a unit impulse function;
the unit impulse function δ (·) satisfies:
Figure BDA0003206764240000072
wherein p is an independent variable of the unit impulse function;
weighting coefficient betalThe concrete expression is as follows:
Figure BDA0003206764240000073
wherein i is an imaginary unit, erIs an intermediate variable;
intermediate variable erThe concrete expression is as follows:
Figure BDA0003206764240000081
wherein the content of the first and second substances,
Figure BDA0003206764240000082
Figure BDA0003206764240000083
denotes rounded down, μrIs a variable parameter, mur∈(0，2π]Mod (N,2) represents the remainder of dividing N by 2;
then, for each frame data corresponding output signal Fk1And K is 1,2, …, and the processed signal is sent to a channel, wherein K is the total frame number.
The seventh embodiment: the sixth embodiment is different from the sixth embodiment in that: before framing 0 and 1 bit data generated by a source at a transmitting end, the method also needs to carry out the following processing steps:
and carrying out base band constellation mapping on the 0 and 1 bit data generated by the information source to obtain a modulation result after constellation mapping.
In the invention, the modulation result after constellation mapping is subjected to framing processing, and the specific process of the framing processing is as follows:
modulating the 1 st bit, 2 nd bit, … nd bit, 2 nd bit of the resultNBit data as the first frame, and 2 nd of the modulation resultN+1 bit, 2 nd bitN+2 position, …,2 ndN+1Bit data as the second frame, and so on.
Other steps and parameters are the same as those in the sixth embodiment.
The specific implementation mode is eight: the sixth or seventh embodiment is different from the sixth or seventh embodiment in that: the output signal F corresponding to each frame datak1K is 1,2, …, and K is specifically:
output signal F corresponding to each frame datak1K is 1,2, …, K is a serial digital signal F, F is F11F21 … Fk1 … FK1]And the signal F is subjected to digital/analog conversion and up-conversion in sequence, and the processed signal is transmitted to a channel.
Other steps and parameters are the same as those of the sixth or seventh embodiment.
The specific implementation method nine: this embodiment will be described with reference to fig. 2. This embodiment differs from one of the sixth to eighth embodiments in that: in the method, at a receiving end, a received signal is subjected to down-conversion, analog/digital conversion and channel equalization in sequence;
dividing the processed signals into K frame signals with the same length, and respectively performing expansion weighted score Fourier inversion on each frame signal to obtain an output signal obtained by performing expansion weighted score Fourier inversion on each frame signal;
and expressing an output signal obtained by performing the inverse Fourier transform on each frame signal through the expanded weighted fraction as a path of serial digital signal H, and then performing constellation demapping on the signal H to recover 0 and 1 bit data.
Other steps and parameters are the same as those in one of the sixth to eighth embodiments.
The detailed implementation mode is ten: the present embodiment differs from one of the sixth to ninth embodiments in that: the method of the expanded weighted fraction Fourier inverse transformation comprises the following steps:
Figure BDA0003206764240000091
wherein Hk′A k' frame signal obtained by dividing the channel-equalized signal, Hk′1An output signal obtained by inverse expansion weighted fractional Fourier transform of the K 'th frame signal, K' 1,2, …, K, τlIs a weighting coefficient;
weighting coefficient taulThe concrete expression is as follows:
Figure BDA0003206764240000092
wherein the intermediate variable fr＝-er。
Representing the output signal corresponding to each frame signal as a path of serial digital signal H, H ═ Y11 Y21 … Yk′1 … YK1]And performing constellation demapping on the signal H to recover 0 and 1 bit data.
In this embodiment, ElAnd erIs determined byThe meaning is the same as the sending end.
Other steps and parameters are the same as those in one of the sixth to ninth embodiments.
As can be seen from fig. 4, compared with a single carrier system, a multi-carrier system and a mixed carrier system, the method of the present invention can significantly improve the anti-fading performance and the transmission reliability of the wireless communication system.
The above-described calculation examples of the present invention are merely to explain the calculation model and the calculation flow of the present invention in detail, and are not intended to limit the embodiments of the present invention. It will be apparent to those skilled in the art that other variations and modifications of the present invention can be made based on the above description, and it is not intended to be exhaustive or to limit the invention to the precise form disclosed, and all such modifications and variations are possible and contemplated as falling within the scope of the invention.

Claims (10)

1. A signal time frequency energy complete averaging transmission method based on the expansion weighted fraction Fourier transform is characterized in that at a sending end, after 0 bit data and 1 bit data generated by an information source are divided into a plurality of frames with the same length, the expansion weighted fraction Fourier transform is respectively carried out on each frame of data, and an output signal of each frame of data after the expansion weighted fraction Fourier transform is obtained;
the mode of the spread weighted score Fourier transform is as follows:
Figure FDA0003206764230000011
wherein, FkRepresents the k frame data, Fk1Representing the output signal of the k frame data after the expansion weighted fractional Fourier transform, the superscript T representing the transposition, E being the transform matrix, betalFor the weighting coefficient, L is the length of each frame of data, and L is 2NN is a positive integer, L ═ 0, 1.., L-1;
the transformation matrix E is specifically represented as:
[E]m,n＝δ(<n-m-1>L)
in the formula [ ·]m,nRepresents the m-th row and n-column elements in the transformation matrix E, wherein m is 0,1, and.<·>The representation of the remainder is carried out,<n-m-1>Lthe expression n-m-1 is divided by L to obtain the remainder, and delta (-) expresses a unit impulse function;
the unit impulse function δ (·) satisfies:
Figure FDA0003206764230000012
wherein p is an independent variable of the unit impulse function;
weighting coefficient betalThe concrete expression is as follows:
Figure FDA0003206764230000013
wherein i is an imaginary unit, erIs an intermediate variable;
intermediate variable erThe concrete expression is as follows:
Figure FDA0003206764230000014
wherein the content of the first and second substances,
Figure FDA0003206764230000021
Figure FDA0003206764230000022
denotes rounded down, μrIs a variable parameter, mur∈(0,2π]Mod (N,2) represents the remainder of dividing N by 2;
then, for each frame data corresponding output signal Fk1And K is 1,2, …, and the processed signal is sent to a channel, wherein K is the total frame number.
2. The method as claimed in claim 1, wherein before framing 0,1 bit data generated by the source at the transmitting end, the method further includes the following processing steps:
and carrying out base band constellation mapping on the 0 and 1 bit data generated by the information source to obtain a modulation result after constellation mapping.
3. The method according to claim 2, wherein the output signal F corresponding to each frame data is obtained by performing a full averaging transmission of time-frequency energy of signals based on an extended weighted fractional Fourier transformk1K is 1,2, …, and K is specifically:
output signal F corresponding to each frame datak1And K is 1,2, …, K is a serial digital signal F, and the signal F is sequentially subjected to digital/analog conversion and up-conversion, and the processed signal is transmitted to a channel.
4. The method according to claim 3, wherein at a receiving end, the received signal is subjected to down-conversion, analog/digital conversion and channel equalization in sequence;
dividing the processed signals into K frame signals with the same length, and respectively performing expansion weighted score Fourier inversion on each frame signal to obtain an output signal obtained by performing expansion weighted score Fourier inversion on each frame signal;
and expressing an output signal obtained by performing the inverse Fourier transform on each frame signal through the expanded weighted fraction as a path of serial digital signal H, and then performing constellation demapping on the signal H to recover 0 and 1 bit data.
5. The method according to claim 4, wherein the inverse spread weighted fractional Fourier transform is performed by:
Figure FDA0003206764230000023
wherein Hk′A k' frame signal obtained by dividing the channel-equalized signal, Hk′1An output signal obtained by inverse expansion weighted fractional Fourier transform of the K 'th frame signal, K' 1,2, …, K, τlIs a weighting coefficient;
weighting coefficient taulThe concrete expression is as follows:
Figure FDA0003206764230000031
wherein the intermediate variable fr＝-er。
6. A signal time frequency energy complete averaging transmission method based on the expansion weighted fraction Fourier transform is characterized in that at a sending end, after 0 bit data and 1 bit data generated by an information source are divided into a plurality of frames with the same length, the expansion weighted fraction Fourier transform is respectively carried out on each frame of data, and an output signal of each frame of data after the expansion weighted fraction Fourier transform is obtained;
the mode of the spread weighted score Fourier transform is as follows:
Figure FDA0003206764230000032
wherein, FkRepresents the k frame data, Fk1Representing the output signal of the k frame data after the expansion weighted fractional Fourier transform, the superscript T representing the transposition, E being the transform matrix, betalFor the weighting coefficient, L is the length of each frame of data, and L is 2NN is a positive integer, L ═ 0, 1.., L-1;
the transformation matrix E is specifically represented as:
[E]m,n＝δ(<n-m+1>L)
in the formula [ ·]m,nRepresents the m-th row and n-column elements in the transformation matrix E, wherein m is 0,1, and.<·>The representation of the remainder is carried out,<n-m+1>Lthe expression n-m +1 is divided by L to obtain the remainder, and delta (-) expresses a unit impulse function;
the unit impulse function δ (·) satisfies:
Figure FDA0003206764230000033
wherein p is an independent variable of the unit impulse function;
weighting coefficient betalThe concrete expression is as follows:
Figure FDA0003206764230000034
wherein i is an imaginary unit, erIs an intermediate variable;
intermediate variable erThe concrete expression is as follows:
Figure FDA0003206764230000041
wherein the content of the first and second substances,
Figure FDA0003206764230000042
Figure FDA0003206764230000043
denotes rounded down, μrIs a variable parameter, mur∈(0,2π]Mod (N,2) represents the remainder of dividing N by 2;
then, for each frame data corresponding output signal Fk1And K is 1,2, …, and the processed signal is sent to a channel, wherein K is the total frame number.
7. The method as claimed in claim 6, wherein before framing the 0 and 1 bits of data generated by the source at the transmitting end, the method further comprises the following processing steps:
and carrying out base band constellation mapping on the 0 and 1 bit data generated by the information source to obtain a modulation result after constellation mapping.
8. The method according to claim 7, wherein the output signal F corresponding to each frame data is obtained by performing a full averaging transmission on the time-frequency energy of the signal based on the extended weighted fractional Fourier transformk1K is 1,2, …, and K is specifically:
output signal F corresponding to each frame datak1And K is 1,2, …, K is a serial digital signal F, and the signal F is sequentially subjected to digital/analog conversion and up-conversion, and the processed signal is transmitted to a channel.
9. The method according to claim 8, wherein at a receiving end, the received signal is subjected to down-conversion, analog/digital conversion and channel equalization in sequence;
dividing the processed signals into K frame signals with the same length, and respectively performing expansion weighted score Fourier inversion on each frame signal to obtain an output signal obtained by performing expansion weighted score Fourier inversion on each frame signal;
and expressing an output signal obtained by performing the inverse Fourier transform on each frame signal through the expanded weighted fraction as a path of serial digital signal H, and then performing constellation demapping on the signal H to recover 0 and 1 bit data.
10. The method according to claim 9, wherein the inverse spread weighted fractional fourier transform is performed by:
Figure FDA0003206764230000044
wherein Hk′A k' frame signal obtained by dividing the channel-equalized signal, Hk′1An output signal obtained by inverse expansion weighted fractional Fourier transform of the K 'th frame signal, K' 1,2, …, K, τlIs a weighting coefficient;
weighting coefficient taulThe concrete expression is as follows:
Figure FDA0003206764230000051
wherein the intermediate variable fr＝-er。
CN202110919213.4A 2021-08-11 2021-08-11 Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform Active CN113630353B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110919213.4A CN113630353B (en) 2021-08-11 2021-08-11 Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110919213.4A CN113630353B (en) 2021-08-11 2021-08-11 Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform

Publications (2)

Publication Number Publication Date
CN113630353A CN113630353A (en) 2021-11-09
CN113630353B true CN113630353B (en) 2022-04-15

Family

ID=78384447

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202110919213.4A Active CN113630353B (en) 2021-08-11 2021-08-11 Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform

Country Status (1)

Country Link
CN (1) CN113630353B (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115361261B (en) * 2022-08-10 2024-04-09 哈尔滨工业大学 Physical layer waveform transmission method for expanding radio frequency division multiplexing

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111614590A (en) * 2020-05-18 2020-09-01 哈尔滨工业大学 Anti-detection transmission method based on extended weighted fractional Fourier transform

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8767851B2 (en) * 2012-05-23 2014-07-01 Telefonaktiebolaget L M Ericsson (Publ) Multi-carrier/technology peak power reduction
CN108494539A (en) * 2017-12-29 2018-09-04 西安电子科技大学 OFDM/CDMA combine communication methods suitable for Internet of Things
CN111371531B (en) * 2020-02-19 2022-09-30 哈尔滨工业大学 Time domain energy interleaving transmission method based on extended weighted fractional Fourier transform
CN112532350B (en) * 2020-11-25 2023-03-24 哈尔滨工业大学 Interleaving transmission method for weighted fractional Fourier transform time domain two-component signal

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111614590A (en) * 2020-05-18 2020-09-01 哈尔滨工业大学 Anti-detection transmission method based on extended weighted fractional Fourier transform

Also Published As

Publication number Publication date
CN113630353A (en) 2021-11-09

Similar Documents

Publication Publication Date Title
US8077792B2 (en) Method and apparatus for allocating transmission power in communication system with multiple antennas
US9240910B2 (en) Out-of-band emission cancellation
CN105530217A (en) Signal emission and reception method of GFDM system based on weight fraction Fourier transform
CN112532350B (en) Interleaving transmission method for weighted fractional Fourier transform time domain two-component signal
CN101783781A (en) Information transmission method for lowering peak to average power ratio of OFDM system signal
JP2022542902A (en) Communication system and method using unitary blade division multiplexing (UBDM) with physical layer security
CN108781443A (en) Device and method for mixing multiple access wireless communication system
CN110326264B (en) Signal quality control method and base station
CN108289069B (en) Transmission method, sending end and receiving end of reference signal
CN112714090B (en) Transmission method of weighted fractional Fourier transform extended hybrid carrier
CN105915476A (en) Bayes-based phase noise compensation method
CN113630353B (en) Signal time-frequency energy complete-averaging transmission method based on extended weighted fractional Fourier transform
Navita et al. Performance analysis of OFDMA, MIMO and SC-FDMA technology in 4G LTE networks
CN110011944B (en) Data transmitting, data receiving and burst transmission method based on mixed carrier system
CN108768914B (en) Efficient frequency division multiplexing transmission method and transmission system combining orthogonal and non-orthogonal
US8548081B2 (en) Methods and apparatus for diversity combining of repeated signals in OFDMA systems
CN111525946B (en) Anti-time-varying wave beam sequence number modulation method suitable for broadband large-scale millimeter wave system
CN101958866A (en) Pilot frequency insertion method and module
Surgiewicz et al. LTE uplink transmission scheme
CN113708881B (en) Time-frequency complete averaging orthogonal multiple access transmission method based on extended weighted fractional Fourier transform
WO2022204976A1 (en) Signal transmission method, and apparatus
An et al. High throughput mobile communication based on OTFS system with the delay-Doppler compensation
CN107204953B (en) Blind frequency offset estimation method in CP-FBMC communication system
CN107466100B (en) Adaptive modulation method in visible light communication
CN109150255B (en) Beam matching method and communication equipment

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant