CN113691279A - Multiple access and multiplexing transmission method based on EWWFRFT - Google Patents

Multiple access and multiplexing transmission method based on EWWFRFT Download PDF

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CN113691279A
CN113691279A CN202111097761.XA CN202111097761A CN113691279A CN 113691279 A CN113691279 A CN 113691279A CN 202111097761 A CN202111097761 A CN 202111097761A CN 113691279 A CN113691279 A CN 113691279A
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user
sequence
multiple access
data
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CN113691279B (en
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沙学军
宋鸽
房宵杰
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Harbin Institute of Technology
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Harbin Institute of Technology
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/707Spread spectrum techniques using direct sequence modulation
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    • H04B1/7103Interference-related aspects the interference being multiple access interference

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Abstract

A multiple access and multiplexing transmission method based on EWWFRFT belongs to the technical field of wireless communication. The invention solves the problems of poor multi-access interference resistance and high error rate of the existing code division multiple access system. In the system provided by the invention, each user transmission data occupies the same time-frequency resource, and a group of orthogonal address codes generated by expanding weighted fractional Fourier transform is utilized to realize user multiple access; at a sending end, carrying out sequence expansion through an address code; at the receiving end, the user data can be recovered only by decoding the corresponding sequence. The scheme provided by the invention fully utilizes the time-frequency resource of the system and simultaneously considers the orthogonal characteristic of the signal, greatly reduces the influence caused by the multiple access interference of the system, effectively improves the error code performance under a fading channel and enhances the reliability of the CDMA system. The invention can be applied to the technical field of wireless communication.

Description

Multiple access and multiplexing transmission method based on EWWFRFT
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a multiple access and multiplexing transmission method based on an EWWFRFT.
Background
Multiple access techniques are an important foundation for forming present and future communication networks, and present multiple access methods mainly include time division multiple access, frequency division multiple access, code division multiple access, and the like. Among them, the cdma system allocates different address codes to different users, and each user uses a noise-type wideband signal and can occupy the entire given frequency band for an arbitrary long time, and has a large communication capacity, and has been widely researched and applied. However, in cdma systems, the signal of each user is interference to other users, and this multiple access interference causes the error rate of the system to increase, and limits the total number of users that the system can accommodate. This results in poor multi-access interference resistance and low transmission reliability of the existing cdma system, and therefore, it is a problem worth studying to improve the error code performance of the existing cdma system.
Disclosure of Invention
The invention aims to solve the problems of poor multi-access interference resistance and high error rate of the existing code division multiple access system, and provides a multi-access and multiplexing transmission method based on EWWFRFT.
The technical scheme adopted by the invention for solving the technical problems is as follows:
a multiple access and multiplexing transmission method based on EWFRFT, in uplink, the method specifically comprises:
step S1, after numbering the users in the multiple access system, modulating the baseband data generated by each user information source;
wherein, the modulation result corresponding to the ith' user is Bi′
Figure BDA0003269677920000011
Figure BDA0003269677920000012
Data in the modulation result, i' is 1,2,3, and M represents the total number of users;
step S2, allocating address codes for each user;
wherein, the address code of the ith' user is si′,si′Is a sequence of length P and,
Figure BDA0003269677920000013
p is not less than M, and si′The generation method comprises the following steps:
Figure BDA0003269677920000014
wherein the content of the first and second substances,
Figure BDA0003269677920000015
is s isi′E is the basic operator of the extended weighted fraction fourier transform, betalTo expand the weighting coefficients of the weighted fractional fourier transform, l-0, 1, …, P-1, column vector ti′A transform sequence for the ith' user;
and transform the sequence ti′The elements in (1) satisfy:
Figure BDA0003269677920000021
wherein, [ t ]i′]nFor transforming the sequence ti′The nth element of (1);
step S3, using the distributed address code to perform sequence spreading to the modulation result of the user, and respectively obtaining the spreading result corresponding to each user;
wherein the spreading result of the i' th user is represented as pi′
Figure BDA0003269677920000022
Step S4, processing the spread spectrum result of each user, and transmitting the processing result corresponding to each user to the channel through the antenna;
step S5, the receiver processes the signal received from the channel to obtain the digital baseband signal;
step S6, extracting user data according to the digital baseband signal obtained in step S5, and respectively extracting data transmitted by each user;
the specific process of step S6 is as follows:
performing serial-parallel conversion on the digital baseband signal obtained in the step S5 to obtain parallel data r of L rows and P columns; and then the sequence hi′Extracting data transmitted by an ith' user in a multiple access system:
Figure BDA0003269677920000023
wherein the content of the first and second substances,
Figure BDA0003269677920000024
is hi′Transpose of (y)i′Is transposed matrix of
Figure BDA0003269677920000025
Data transmitted for the extracted i' th user; sequence hi′The generation method comprises the following steps:
Figure BDA0003269677920000026
wherein the content of the first and second substances,
Figure BDA0003269677920000027
is a sequence hi′The number d element of (a) is,
Figure BDA0003269677920000028
is a sequence si′The d-th element in (a), d-0, 1.
Figure BDA0003269677920000029
Is composed of
Figure BDA00032696779200000210
Complex conjugation of (1), sequence
Figure BDA00032696779200000211
Step S7, the extracted data transmitted by each user is digitally demodulated, and the 0 and 1 bit data of each user is recovered.
A multiple access and multiplexing transmission method based on EWFRFT is disclosed, in the downlink, the method specifically comprises:
step C1, after numbering the users in the multiple access system, modulating the baseband data of each user;
wherein, the modulation result corresponding to the ith' user data is Bi′
Figure BDA0003269677920000031
Figure BDA0003269677920000032
Data in the modulation result, i' is 1,2,3, and M represents the total number of users;
step C2, generating an address code for each user respectively;
wherein, the address code of the ith' user is si′,si′Is a sequence of length P and,
Figure BDA0003269677920000033
p is not less than M, and si′The generation method comprises the following steps:
Figure BDA0003269677920000034
wherein the content of the first and second substances,
Figure BDA0003269677920000035
is s isi′E is the basic operator of the extended weighted fraction fourier transform, betalTo expand the weighting coefficients of the weighted fractional fourier transform, l-0, 1, …, P-1, column vector ti′A transform sequence for the ith' user;
and transform the sequence ti′The elements in (1) satisfy:
Figure BDA0003269677920000036
wherein, [ t ]i′]nFor transforming the sequence ti′The nth element of (1);
step C3, using the generated address code to perform sequence spreading to the modulation result corresponding to the user, and respectively obtaining the spreading result corresponding to each user;
wherein the spreading result of the i' th user is represented as pi′
Figure BDA0003269677920000037
Step C4, adding the data in the same position of the spreading result in the spreading result of all users to obtain the base band transmitting sequence with length PL;
step C5, processing the baseband sending sequence obtained in the step C4, and transmitting the processing result to a channel through an antenna;
step C6, the receiver receives signals from the channel and processes the received signals to obtain processed digital baseband signals;
step C7, extracting user data according to the processed digital baseband signal obtained in step C6, and extracting data of the i 'th user, where i' is 1,2, 3.
The specific process of the step C7 is as follows:
step C71, performing serial-parallel conversion on the processed digital baseband signal obtained in the step C6 to obtain parallel data r of L rows and P columns;
step C72, for the ith' user in the multiple access system, adopting the sequence hi′Extracting the transmitted data;
Figure BDA0003269677920000041
wherein the content of the first and second substances,
Figure BDA0003269677920000042
is hi′Transpose of (y)i′Is transposed matrix of
Figure BDA0003269677920000043
The ith' user data of the extracted transmission; sequence hi′The generation method comprises the following steps:
Figure BDA0003269677920000044
wherein the content of the first and second substances,
Figure BDA0003269677920000045
is a sequence hi′The number d element of (a) is,
Figure BDA0003269677920000046
is a sequence si′The d-th element in (a), d-0, 1.
Figure BDA0003269677920000047
Is composed of
Figure BDA0003269677920000048
Complex conjugation of (1), sequence
Figure BDA0003269677920000049
And step C8, performing digital demodulation on each user data to recover the 0 and 1 bit data of each user.
The invention has the beneficial effects that: the invention has designed a multiple access and multiplexing transmission method based on EWWFRFT for promoting the transmission performance of the existing CDMA system, in the system proposed in the invention, every user transmits the data and occupies the same time frequency resource, utilize and expand a series of orthogonal address codes that the fractional Fourier transform of weighting to realize user's multiple access; at a sending end, carrying out sequence expansion through an address code; at the receiving end, the user data can be recovered only by despreading through the corresponding sequence. The scheme provided by the invention fully utilizes the time-frequency resource of the system and simultaneously considers the orthogonal characteristic of the signal, greatly reduces the influence caused by the multiple access interference of the system, effectively improves the error code performance under a fading channel and enhances the reliability of the CDMA system. Meanwhile, the method has better compatibility with the existing communication system.
The invention adopts an expansion weighted fractional Fourier transform and an expansion mixed carrier multiple access technology, which can increase the total number of users that can be accommodated by a code division multiple access system while improving the anti-fading performance of the wireless communication system.
Drawings
Fig. 1 is a block diagram of an uplink transmitter system of a multiple access and multiplexing transmission method based on ewwfrft according to the present invention;
FIG. 2 is a block diagram of an uplink receiver system of a multiple access and multiplexing transmission method based on EWWFRFT according to the present invention;
FIG. 3 is a block diagram of a downlink transmitter system of a multiple access and multiplexing transmission method based on EWWFRFT according to the present invention;
fig. 4 is a block diagram of a downlink receiver system of a multiple access and multiplexing transmission method based on an ewwfrft according to the present invention.
Detailed Description
First embodiment this embodiment will be described with reference to fig. 1 and 2. In the uplink, the multiple access and multiplexing transmission method based on EWFRFT specifically includes:
step S1, after numbering the users in the multiple access system, modulating the baseband data generated by each user information source;
wherein, the modulation result corresponding to the ith' user is Bi′
Figure BDA0003269677920000051
Figure BDA0003269677920000052
Data in the modulation result, i' is 1,2,3, and M represents the total number of users;
the modulation mode is a phase shift keying BPSK mode;
step S2, allocating address codes for each user;
wherein, the address code of the ith' user is si′,si′Is a sequence of length P and,
Figure BDA0003269677920000053
Figure BDA0003269677920000054
are all the sequence si′Wherein P is more than or equal to M and si′Generated by EWFRFT (extended weighted fractional Fourier transform), si′The generation method comprises the following steps:
Figure BDA0003269677920000055
wherein the content of the first and second substances,
Figure BDA0003269677920000056
is s isi′E is the basic operator of the extended weighted fraction fourier transform, betalTo expand the weighting coefficients of the weighted fractional fourier transform, l-0, 1, …, P-1, column vector ti′A transform sequence for the ith' user;
and transform the sequence ti′The elements in (1) satisfy:
Figure BDA0003269677920000057
wherein, [ t ]i′]nFor transforming the sequence ti′The nth element of (1);
step S3, using the distributed address code to perform sequence spreading to the modulation result of the user, and respectively obtaining the spreading result corresponding to each user;
wherein the spreading result of the i' th user is represented as pi′
Figure BDA0003269677920000058
Step S4, processing the spread spectrum result of each user, and transmitting the processing result corresponding to each user to the channel through the antenna;
the processing is performed on the spreading result of each user, and specifically includes:
the spread spectrum result of each user is processed by digital/analog conversion and up-conversion in turn.
Step S5, the receiver processes the signal received from the channel to obtain the digital baseband signal;
the signal reaches the receiving end through the transmission of the signal channel, the receiver carries on the down-conversion and A/D conversion to the received signal sequentially;
step S6, extracting user data according to the digital baseband signal obtained in step S5, and respectively extracting data transmitted by each user;
the specific process of step S6 is as follows:
performing serial-parallel conversion on the digital baseband signal obtained in the step S5 to obtain parallel data r of L rows and P columns; and then the sequence hi′Extracting data transmitted by an ith' user in a multiple access system:
Figure BDA0003269677920000061
wherein the content of the first and second substances,
Figure BDA0003269677920000062
is hi′Transpose of (y)i′Is transposed matrix of
Figure BDA0003269677920000063
Data transmitted for the extracted i' th user; sequence hi′The generation method comprises the following steps:
Figure BDA0003269677920000064
wherein the content of the first and second substances,
Figure BDA0003269677920000065
is a sequence hi′The number d element of (a) is,
Figure BDA0003269677920000066
is a sequence si′The d-th element in (a), d-0, 1.
Figure BDA0003269677920000067
Is composed of
Figure BDA0003269677920000068
Complex conjugation of (1), sequence
Figure BDA0003269677920000069
Step S7, the extracted data transmitted by each user is digitally demodulated, and the 0 and 1 bit data of each user is recovered.
The second embodiment is as follows: the first difference between the present embodiment and the specific embodiment is: the basic operator E of the extended weighted fraction Fourier transform is as follows:
Figure BDA00032696779200000610
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: weighting coefficient beta of the extended weighted fractional Fourier transformlComprises the following steps:
Figure BDA0003269677920000071
wherein e iskFor the transformation parameters, k is 0,1, …, P-1, i is an imaginary unit;
the transformation parameter ekGenerated by the following way:
Figure BDA0003269677920000072
wherein the content of the first and second substances,parameter e0∈(0,2π]I.e. e0Can be (0,2 pi)]Optionally, P is 2w +1, w is a positive integer.
Other steps and parameters are the same as those in the first or second embodiment.
The fourth concrete implementation mode: the difference between this embodiment mode and one of the first to third embodiment modes is: in the step S6, the sequence hi′The generation mode of (1) is replaced by:
Figure BDA0003269677920000073
wherein, the sequence
Figure BDA0003269677920000074
Comprises the following steps:
Figure BDA0003269677920000075
wherein f iskAre transformation parameters.
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 transformation parameter fkComprises the following steps:
Figure BDA0003269677920000076
wherein the transformation parameter f0Satisfies the following conditions: f. of0=-e0
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. 3 and 4. In the multiple access and multiplexing transmission method based on EWFRFT according to the present embodiment, in the downlink, the method specifically includes:
step C1, after numbering the users in the multiple access system, modulating the baseband data of each user;
wherein, the modulation result corresponding to the ith' user data is Bi′
Figure BDA0003269677920000081
Figure BDA0003269677920000082
Data in the modulation result, i' is 1,2,3, and M represents the total number of users;
the modulation mode is a phase shift keying BPSK mode;
step C2, generating an address code for each user respectively;
wherein, the address code of the ith' user is si′,si′Is a sequence of length P and,
Figure BDA0003269677920000083
Figure BDA0003269677920000084
are all the sequence si′Wherein P is more than or equal to M and si′Generated by EWFRFT (extended weighted fractional Fourier transform), si′The generation method comprises the following steps:
Figure BDA0003269677920000085
wherein the content of the first and second substances,
Figure BDA0003269677920000086
is s isi′E is the basic operator of the extended weighted fraction fourier transform, betalTo expand the weighting coefficients of the weighted fractional fourier transform, l-0, 1, …, P-1, column vector ti′A transform sequence for the ith' user;
and transform the sequence ti′The elements in (1) satisfy:
Figure BDA0003269677920000087
wherein, [ t ]i′]nFor transforming the sequence ti′The nth element of (1);
step C3, using the generated address code to perform sequence spreading to the modulation result corresponding to the user, and respectively obtaining the spreading result corresponding to each user;
wherein the spreading result of the i' th user is represented as pi′
Figure BDA0003269677920000088
Step C4, adding data at the same position of the spreading result in the spreading results of all users (i.e. adding all the first bit data, all the second bit data, …, all the PL-th bit data in the spreading results of each user, and sequentially using the addition results as the first bit, the second bit, … and the PL-th bit of the obtained base band transmission sequence with the length of PL), so as to obtain a base band transmission sequence with the length of PL;
step C5, processing the baseband sending sequence obtained in the step C4, and transmitting the processing result to a channel through an antenna;
the processing of the baseband sending sequence specifically includes:
and sequentially carrying out digital/analog conversion and up-conversion processing on the baseband transmission sequence.
Step C6, the receiver receives signals from the channel and processes the received signals to obtain processed digital baseband signals;
the signal reaches the receiving end through the transmission of the signal channel, the receiver carries on the down-conversion and A/D conversion to the received signal;
step C7, extracting user data according to the processed digital baseband signal obtained in step C6, and extracting data of the i 'th user, where i' is 1,2, 3.
The specific process of the step C7 is as follows:
step C71, performing serial-parallel conversion on the processed digital baseband signal obtained in the step C6 to obtain parallel data r of L rows and P columns;
step C72, for the ith' user in the multiple access system, adopting the sequence hi′Extracting the transmitted data;
Figure BDA0003269677920000091
wherein the content of the first and second substances,
Figure BDA0003269677920000092
is hi′Transpose of (y)i′Is transposed matrix of
Figure BDA0003269677920000093
The ith' user data of the extracted transmission; sequence hi′The generation method comprises the following steps:
Figure BDA0003269677920000094
wherein the content of the first and second substances,
Figure BDA0003269677920000095
is a sequence hi′The number d element of (a) is,
Figure BDA0003269677920000096
is a sequence si′The d-th element in (a), d-0, 1.
Figure BDA0003269677920000097
Is composed of
Figure BDA0003269677920000098
Complex conjugation of (1), sequence
Figure BDA0003269677920000099
And step C8, performing digital demodulation on each user data to recover the 0 and 1 bit data of each user.
The seventh embodiment: the sixth embodiment is different from the sixth embodiment in that: the basic operator E of the extended weighted fraction Fourier transform is as follows:
Figure BDA0003269677920000101
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: weighting coefficient beta of the extended weighted fractional Fourier transformlComprises the following steps:
Figure BDA0003269677920000102
wherein e iskFor the transformation parameters, k is 0,1, …, P-1, i is an imaginary unit;
the transformation parameter ekGenerated by the following way:
Figure BDA0003269677920000103
wherein the parameter e0∈(0,2π]I.e. e0Can be (0,2 pi)]Optionally, P =2w +1, w is a positive integer.
Other steps and parameters are the same as those of the sixth or seventh embodiment.
The specific implementation method nine: this embodiment differs from one of the sixth to eighth embodiments in that: in the step C72, the sequence hi′The generation mode of (1) is replaced by:
Figure BDA0003269677920000104
wherein, the sequence
Figure BDA0003269677920000105
Comprises the following steps:
Figure BDA0003269677920000106
wherein f iskAre transformation parameters.
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 transformation parameter fkComprises the following steps:
Figure BDA0003269677920000111
wherein the transformation parameter f0Satisfies the following conditions: f. of0=-e0
Other steps and parameters are the same as those in one of the sixth to ninth embodiments.
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 multiple access and multiplexing transmission method based on EWFRFT is characterized in that, in uplink, the method specifically comprises the following steps:
step S1, after numbering the users in the multiple access system, modulating the baseband data generated by each user information source;
wherein, the modulation result corresponding to the ith' user is Bi′
Figure FDA0003269677910000011
Figure FDA0003269677910000012
All data in the modulation result, i' is 1,2,3, …, M represents the total number of users;
step S2, allocating address codes for each user;
wherein, the address code of the ith' user is si′,si′Is a sequence of length P and,
Figure FDA0003269677910000013
p is not less than M, and si′The generation method comprises the following steps:
Figure FDA0003269677910000014
wherein the content of the first and second substances,
Figure FDA0003269677910000015
is s isi′E is the basic operator of the extended weighted fraction fourier transform, betalTo expand the weighting coefficients of the weighted fractional fourier transform, l-0, 1, …, P-1, column vector ti′A transform sequence for the ith' user;
and transform the sequence ti′The elements in (1) satisfy:
Figure FDA0003269677910000016
wherein, [ t ]i′]nFor transforming the sequence ti′The nth element of (1);
step S3, using the distributed address code to perform sequence spreading to the modulation result of the user, and respectively obtaining the spreading result corresponding to each user;
wherein the spreading result of the i' th user is represented as pi′
Figure FDA0003269677910000017
Step S4, processing the spread spectrum result of each user, and transmitting the processing result corresponding to each user to the channel through the antenna;
step S5, the receiver processes the signal received from the channel to obtain the digital baseband signal;
step S6, extracting user data according to the digital baseband signal obtained in step S5, and respectively extracting data transmitted by each user;
the specific process of step S6 is as follows:
performing serial-parallel conversion on the digital baseband signal obtained in the step S5 to obtain parallel data r of L rows and P columns; and then the sequence hi′Extracting data transmitted by an ith' user in a multiple access system:
Figure FDA0003269677910000021
wherein the content of the first and second substances,
Figure FDA0003269677910000022
is hi′Transpose of (y)i′Is transposed matrix of
Figure FDA0003269677910000023
Figure FDA0003269677910000024
Data transmitted for the extracted i' th user;
sequence hi′The generation method comprises the following steps:
Figure FDA0003269677910000025
wherein the content of the first and second substances,
Figure FDA0003269677910000026
is a sequence hi′The number d element of (a) is,
Figure FDA0003269677910000027
is a sequence si′The d-th element in (a), d-0, 1.
Figure FDA0003269677910000028
Is composed of
Figure FDA0003269677910000029
Complex conjugation of (1), sequence
Figure FDA00032696779100000210
Step S7, the extracted data transmitted by each user is digitally demodulated, and the 0 and 1 bit data of each user is recovered.
2. The EWWFRFT-based multiple access and multiplexing transmission method according to claim 1, wherein the basic operator E of the extended weighted fraction Fourier transform is:
Figure FDA00032696779100000211
3. the EWWFRFT-based multiple access and multiplexing transmission method according to claim 2, wherein the weight coefficient β of the spread weighted fractional Fourier transformlComprises the following steps:
Figure FDA00032696779100000212
wherein e iskFor the transformation parameters, k is 0,1, …, P-1, i is an imaginary unit;
the transformation parameter ekGenerated by the following way:
Figure FDA00032696779100000213
wherein the parameter e0∈(0,2π]P is 2w +1, w is a positive integer.
4. The EWWFRFT-based multiple access and multiplexing transmission method according to claim 3, wherein in step S6, the sequence hi′The generation mode of (1) is replaced by:
Figure FDA0003269677910000031
wherein, the sequence
Figure FDA0003269677910000032
Comprises the following steps:
Figure FDA0003269677910000033
wherein f iskAre transformation parameters.
5. The EWWFRFT-based multiple access and multiplexing transmission method according to claim 4, wherein the transformation parameter fkComprises the following steps:
Figure FDA0003269677910000034
wherein the transformation parameter f0Satisfies the following conditions: f. of0=-e0
6. A multiple access and multiplexing transmission method based on EWFRFT is characterized in that in downlink, the method specifically comprises the following steps:
step C1, after numbering the users in the multiple access system, modulating the baseband data of each user;
wherein, the modulation result corresponding to the ith' user data is Bi′
Figure FDA0003269677910000035
Figure FDA0003269677910000036
Data in the modulation result, i' is 1,2,3, and M represents the total number of users;
step C2, generating an address code for each user respectively;
wherein, the address code of the ith' user is si′,si′Is a sequence of length P and,
Figure FDA0003269677910000037
p is not less than M, and si′The generation method comprises the following steps:
Figure FDA0003269677910000038
wherein the content of the first and second substances,
Figure FDA0003269677910000041
is s isi′E is the basic operator of the extended weighted fraction fourier transform, betalTo expand the weighting coefficients of the weighted fractional fourier transform, l-0, 1, …, P-1, column vector ti′A transform sequence for the ith' user;
and transform the sequence ti′The elements in (1) satisfy:
Figure FDA0003269677910000042
wherein, [ t ]i′]nFor transforming the sequence ti′To (1)n elements;
step C3, using the generated address code to perform sequence spreading to the modulation result corresponding to the user, and respectively obtaining the spreading result corresponding to each user;
wherein the spreading result of the i' th user is represented as pi′
Figure FDA0003269677910000043
Step C4, adding the data in the same position of the spreading result in the spreading result of all users to obtain the base band transmitting sequence with length PL;
step C5, processing the baseband sending sequence obtained in the step C4, and transmitting the processing result to a channel through an antenna;
step C6, the receiver receives signals from the channel and processes the received signals to obtain processed digital baseband signals;
step C7, extracting user data according to the processed digital baseband signal obtained in step C6, and extracting data of the i 'th user, where i' is 1,2,3, …, M;
the specific process of the step C7 is as follows:
step C71, performing serial-parallel conversion on the processed digital baseband signal obtained in the step C6 to obtain parallel data r of L rows and P columns;
step C72, for the ith' user in the multiple access system, adopting the sequence hi′Extracting the transmitted data;
Figure FDA0003269677910000044
wherein the content of the first and second substances,
Figure FDA0003269677910000045
is hi′Transpose of (y)i′Is transposed matrix of
Figure FDA0003269677910000046
Figure FDA0003269677910000047
The ith' user data of the extracted transmission;
sequence hi′The generation method comprises the following steps:
Figure FDA0003269677910000048
wherein the content of the first and second substances,
Figure FDA0003269677910000051
is a sequence hi′The number d element of (a) is,
Figure FDA0003269677910000052
is a sequence si′The d-th element in (a), d-0, 1.
Figure FDA0003269677910000053
Is composed of
Figure FDA0003269677910000054
Complex conjugation of (1), sequence
Figure FDA0003269677910000055
And step C8, performing digital demodulation on each user data to recover the 0 and 1 bit data of each user.
7. The EWWFRFT-based multiple access and multiplexing transmission method according to claim 6, wherein the basic operator E of the extended weighted fraction Fourier transform is:
Figure FDA0003269677910000056
8. the EWWFRFT-based multiple access and multiplexing transmission method according to claim 7, wherein the weight coefficient β of the spread weighted fractional Fourier transformlComprises the following steps:
Figure FDA0003269677910000057
wherein e iskFor the transformation parameters, k is 0,1, …, P-1, i is an imaginary unit;
the transformation parameter ekGenerated by the following way:
Figure FDA0003269677910000058
wherein the parameter e0∈(0,2π]P is 2w +1, w is a positive integer.
9. The EWWFRFT-based multiple access and multiplexing transmission method according to claim 8, wherein in the step C72, the sequence hi′The generation mode of (1) is replaced by:
Figure FDA0003269677910000059
wherein, the sequence
Figure FDA00032696779100000510
Comprises the following steps:
Figure FDA0003269677910000061
wherein f iskAre transformation parameters.
10. According to claim 9The multiple access and multiplexing transmission method based on EWWFRFT is characterized in that the transformation parameter fkComprises the following steps:
Figure FDA0003269677910000062
wherein the transformation parameter f0Satisfies the following conditions: f. of0=-e0
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