CN111245526A - Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method - Google Patents

Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method Download PDF

Info

Publication number
CN111245526A
CN111245526A CN202010205069.3A CN202010205069A CN111245526A CN 111245526 A CN111245526 A CN 111245526A CN 202010205069 A CN202010205069 A CN 202010205069A CN 111245526 A CN111245526 A CN 111245526A
Authority
CN
China
Prior art keywords
sequence
length
underwater acoustic
acoustic communication
carrier
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.)
Granted
Application number
CN202010205069.3A
Other languages
Chinese (zh)
Other versions
CN111245526B (en
Inventor
王子龙
李蒙
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.)
Xidian University
Original Assignee
Xidian University
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 Xidian University filed Critical Xidian University
Priority to CN202010205069.3A priority Critical patent/CN111245526B/en
Publication of CN111245526A publication Critical patent/CN111245526A/en
Application granted granted Critical
Publication of CN111245526B publication Critical patent/CN111245526B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B13/00—Transmission systems characterised by the medium used for transmission, not provided for in groups H04B3/00 - H04B11/00
    • H04B13/02—Transmission systems in which the medium consists of the earth or a large mass of water thereon, e.g. earth telegraphy
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2614—Peak power aspects

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mobile Radio Communication Systems (AREA)

Abstract

The invention relates to the technical field of communication, and discloses a multi-carrier-based underwater acoustic communication peak-to-average power ratio inhibition method, which comprises the following steps: acquiring multi-carrier underwater acoustic communication data needing to be transmitted; constructing a sequence set of underwater acoustic communication data for transmitting multiple carriers; a passage length of 2mDetermining a variable m of the generalized Boolean function; for the generalized Boolean function of each variable m, obtaining a function meeting the conditions through calculation, and obtaining a plurality of strips with the length of 2mThe QPSK sequence of (a); the length of the plurality of strips is 2mMapping of QPSK sequences from quadrature phase shift keying QPSK to quadrature amplitude modulation 4qOn QAM, resulting in a strip of length 2mSequence B of (a); by a plurality of strips of length 2mConstructing a sequence set by the B sequence; the method for inhibiting the peak-to-average power ratio of the underwater acoustic communication based on the multi-carrier does not cause additional distortion to signals and increase OFD (orthogonal frequency division multiplexing)The complexity of the M system can greatly reduce the construction cost of the system.

Description

Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method
Technical Field
The invention relates to the technical field of communication, in particular to a multi-carrier-based underwater acoustic communication peak-to-average power ratio restraining method.
Background
The underwater acoustic communication is always a communication direction worth of research, and today with the rapid development of communication technology, the underwater acoustic communication industry has already advanced to digital modulation at present through early analog modulation with low power utilization rate, and further with the great success of multi-carrier wireless communication technologies such as OFDM (orthogonal Frequency Division multiplexing) system, etc., which is coming soon in the 5G era, the OFDM system has many advantages that the single-carrier communication technology does not have, and with the successful application of the multi-carrier technology in the radio field, many researchers have started to research and transfer the application of the multi-carrier communication technology to the underwater acoustic field in this regard, especially, the OFDM system has very high spectrum utilization rate, and has important significance for underwater acoustic communication with limited bandwidth resources.
The OFDM system has many advantages, such as high transmission efficiency, good anti-fading capability, etc., but at the same time, the OFDM system also has some disadvantages, such as sensitivity to phase noise and carrier frequency offset, too large peak-to-average ratio, and wide required linear range, etc., where the too high peak-to-average ratio is a problem that is difficult to solve. Too high peak-to-average ratio can cause a number of problems, including power consumption, increased transmission costs, and the like. And the signal can not be distorted only when the power amplifier of the underwater acoustic communication system is very high. Furthermore, unnecessary energy is wasted, which is unacceptable for some of the current battery-powered underwater acoustic communication systems and causes irreparable losses. If the peak exceeds the linear dynamic range of the high power amplifier, in-band distortion and out-of-band interference can also result. Therefore, how to reduce the peak-to-average power ratio in the communication system is of great significance to the underwater acoustic communication system.
To solve the problem of too high peak-to-average ratio, a variety of methods can be implemented. The window function is a method that is currently used in many cases. But has an influence on factors such as complexity, cost, volume and the like of the equipment at the transmitting end.
There are many methods for reducing the peak-to-average ratio, and among them, probability-based techniques, signal predistortion techniques, have been studied by many people. However, these methods all increase the complexity of the OFDM system, and the cost thereof is relatively large.
Disclosure of Invention
The invention provides a multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method, which can not cause additional distortion to signals, can not increase the complexity of an OFDM system, and can greatly reduce the construction cost of the system.
The invention provides a multi-carrier-based underwater acoustic communication peak-to-average power ratio inhibition method, which comprises the following steps of:
s1, acquiring multi-carrier underwater acoustic communication data needing to be transmitted;
s2, constructing a sequence set of the underwater acoustic communication data of the transmission multi-carrier;
s21, passage length of 2mDetermining a variable m of the generalized Boolean function;
s22, outputting a length of 2 by the generalized Boolean function of the variable mmDefining a sequence on QPSK, calculating a function meeting conditions for a generalized Boolean function of each variable m, and obtaining a plurality of functions with the length of 2 through a plurality of functions meeting the conditionsmThe QPSK sequence of (a);
s23, setting the length of the multiple strips as 2mMapping of QPSK sequences from quadrature phase shift keying QPSK to quadrature amplitude modulation 4qOn QAM, resulting in a strip of length 2mSequence B of (a);
s24, repeating the steps S22 and S23 to obtain a plurality of strips with the length of 2mBy a plurality of length 2B sequencesmConstructing a sequence set by the B sequence;
and S3, transmitting the multi-carrier underwater acoustic communication data by using the sequence set.
The method for calculating the function meeting the condition in step S22 includes:
the generalized Boolean function for the variable m is:
Figure BDA0002420815050000021
Figure BDA0002420815050000031
and
Figure BDA0002420815050000032
are two adjacent variables, { pi1,π2,...,πhAnd phi1,φ2,...,φkDivide {1,2, …, m } into two parts randomly, and satisfy h + k ═ m, denoted as m
Figure BDA0002420815050000033
And
Figure BDA0002420815050000034
Z2 hand Z2 kRepresenting a binary vector space, pi represents a permutation of the integer {1,2, … m }, i0,i1,...,ik-1Is a binary representation of i and is,
Figure BDA00024208150500000316
giand gi' respectively in a finite field
Figure BDA0002420815050000036
And
Figure BDA0002420815050000037
the vector of (a);
under different conditions, the generalized Boolean function has different offsets, the offsets under different conditions are limited and calculated;
definition c ═ (c)1,c2,...,ck)∈{0,1}kFor a fixed binary word of length k, a limited offset is defined as s(p)(y | c),1 ≦ p ≦ q-1 and the common pairing difference μ (y | c), there are three different cases that give different offset choices for different conditions:
the first condition is as follows:
Figure BDA0002420815050000038
case two:
Figure BDA0002420815050000039
case three:
Figure BDA00024208150500000310
omega is not less than 1 and not more than h-1, and
Figure BDA00024208150500000311
wherein the content of the first and second substances,
Figure BDA00024208150500000312
representing any number in the space of the quaternary vector, thereby obtaining an offset s(p)(x) Comprises the following steps:
Figure BDA00024208150500000313
wherein
Figure BDA00024208150500000314
When z is equal to c, δ will bec(z) is defined as a value of 1, otherwise is defined as a value of 0;
handle
Figure BDA00024208150500000315
This offset is substituted into the following equation, resulting in a conditional functional expression:
a(p)(x)＝f(x)+s(p)(x)
repeating q times to obtain q eligible functions a(p)(x)。
The specific method of the step S23 includes: modulating the quadrature amplitude 4q-the sequences on the QAM constellation are regarded as a weighted sum of q QPSK sequences, resulting in a weight ratio of 1:2: …:2qLet the pth sequence be defined as A(p)Wherein p is more than or equal to 0 and less than or equal to q-1 and q is more than or equal to 2, then 4 is normalizedq-QAM sequence represented as
Figure BDA0002420815050000041
Get
Figure BDA0002420815050000042
According to q eligible functions a(p)(x) Q QPSK sequences are obtained, and are respectively brought into 4 normalizedq-in the formula of QAM sequence, obtaining a normalizationThe sequence B of (1), constructing a sequence set by using the plurality of normalized sequences B.
Compared with the prior art, the invention has the beneficial effects that:
the invention uses a method for constructing a plurality of sequences in the OFDM system to reduce the peak-to-average ratio of the underwater acoustic communication data of multiple carriers in the transmission process, compared with the prior art, the number of the given sequence sets is enough, and the purpose that the information is transmitted under the specified condition is achieved. The method does not increase the complexity of the OFDM system, and the implementation of the scheme is inevitably advocated at present when the underwater acoustic communication equipment pursues light weight and miniaturization. Secondly, the method for constructing the transmission sequence does not cause additional distortion to signals and increase the complexity of the OFDM system, and not only can increase the adaptability of the OFDM system to severe channel conditions, but also can greatly reduce the construction cost of the system.
Drawings
Fig. 1 is a flow chart of a method for suppressing peak-to-average power ratio in underwater acoustic communication based on multiple carriers according to the present invention.
Detailed Description
An embodiment of the present invention will be described in detail below with reference to fig. 1, but it should be understood that the scope of the present invention is not limited by the embodiment.
And putting the data which is subjected to the preprocessing into a database.
And then, constructing a required sequence by using the sequence which is already owned, and transmitting the data which needs to be transmitted by using the constructed sequence set, wherein the sequence set has a lower peak-to-average ratio during construction, so that the effect of inhibiting the peak-to-average ratio can be achieved during transmission, and the number of the selectable sequence sets in the codebook is considerable, so that the method has a certain application value.
The method specifically comprises the following steps:
the method comprises the following steps: acquiring multi-carrier underwater acoustic communication data needing to be transmitted;
step two: to make the data length 2mIs converted into a wide range of length mA boolean function.
Since the output of the generalized Boolean function will produce a length of 2mSo the problem can be normalized to a generalized boolean function. In the invention, a quaternary sequence when a sequence value corresponding to a generalized Boolean function corresponds to Q4 is specified. The range is defined as i,1-i, -1, (i is an imaginary unit representing the complex number). Defining a sequence of a given length as a generalized Boolean function f (x) (or f (x)1,x2,...,xm) Is defined as a mapping
Figure BDA0002420815050000051
Order (i)1,i2,...,im) Is an integer
Figure BDA0002420815050000052
In binary representation of (i), wherein imThe most significant bit is represented by the number of bits,
Figure BDA0002420815050000053
the remaining class rings, representing mod H, define
Figure BDA0002420815050000054
In the present invention, H ═ 4. Thus, only the choice of f (x) needs to be calculated to obtain the desired sequence.
The generalized Boolean function for the variable m is:
Figure BDA0002420815050000055
Figure BDA0002420815050000056
and
Figure BDA0002420815050000057
are two adjacent variables, { pi1,π2,...,πhAnd phi1,φ2,...,φkRandomly divide {1,2, …, m } into two parts, and satisfy h + k ═ m, where k is chosen according to the desired structureThe size of the sequence set is determined, and if the structure containing the sequence is 2kThen we take its corresponding k value. Record as
Figure BDA0002420815050000058
And
Figure BDA0002420815050000059
Z2 hand Z2 kRepresenting a binary vector space, pi represents a permutation of the integer {1,2, … m }, i0,i1,...,ik-1Is a binary representation of i and is,
Figure BDA00024208150500000513
giand gi' respectively in a finite field
Figure BDA00024208150500000511
And
Figure BDA00024208150500000512
the vector of (a);
the expression of the generalized boolean function encompasses all possible cases, we need to take the functions we can use by conditional constraints, as follows:
under different conditions, the generalized Boolean function has different offsets, the offsets under different conditions are limited and calculated;
definition c ═ (c)1,c2,...,ck)∈{0,1}kFor a fixed binary word of length k, a limited offset is defined as s(p)(y | c),1 ≦ p ≦ q-1 and the common pair difference μ (y | c), there are generally three different cases that give different offset choices for different conditions:
the first condition is as follows:
Figure BDA0002420815050000061
case two:
Figure BDA0002420815050000062
case three:
Figure BDA0002420815050000063
omega is not less than 1 and not more than h-1, and
Figure BDA0002420815050000064
wherein the content of the first and second substances,
Figure BDA0002420815050000065
representing any number in the space of the quaternary vector, thereby obtaining an offset s(p)(x) Comprises the following steps:
Figure BDA0002420815050000066
wherein
Figure BDA0002420815050000067
When z is equal to c, δ will bec(z) is defined as a value of 1, otherwise it is defined as 0;
the offset amount is within a selectable range as long as one of the above three cases is satisfied. Since they all satisfy the property that the autocorrelation function is zero, they can play a role in suppressing the peak-to-average ratio.
Handle
Figure BDA0002420815050000068
The offset is substituted into the following expression to obtain q conditional functional expressions
a(p)(x)＝f(x)+s(p)(x)
The third step:
due to 4qThe sequence on the QAM constellation can be regarded as a weighted sum of q QPSK sequences, which can be obtained with a weight ratio of 1:2: …:2q. Let the p-th sequence be defined as A(p)Wherein p is more than or equal to 0 and less than or equal to q-1 and q is more than or equal to 2. Then normalized 4 can beq-QAM sequence represented as
Figure BDA0002420815050000069
In the present invention, take
Figure BDA00024208150500000610
And substituting q QPSK sequences corresponding to the q conditional function expressions obtained in the step two into the above expression to obtain a normalized sequence B. Since we only perform vector operation and do not affect the properties, the sequence B obtained by calculation also has the effect of suppressing the peak-to-average ratio.
The fourth step:
repeating the second step and the third step to calculate a plurality of sequences B, gathering the sequences and using the sequence set as a transmission channel. The peak-to-average ratio of the signal transmitted in the sequence set can be effectively suppressed.
Constructing a plurality of normalized sequences B to obtain a sequence set, wherein the expression of the sequence set is as follows:
Figure BDA0002420815050000071
z has a value of
Figure BDA0002420815050000072
Where t is the traversal of k binary sequences, i.e. t ═ t (t)1,t2,...,tk)∈{0,1}kThen the complex-valued sequence of the generalized Boolean function f (x) is
Figure BDA0002420815050000073
The value of H is 4, and the like,
Figure BDA0002420815050000074
on representation ξ
Figure BDA0002420815050000075
To the power of, wherein
Figure BDA0002420815050000076
Is a binary representation of the variable x in f (x), resulting in 2kA sequence of bar QAMs.
For ease of understanding, we exemplify the form of the last given sequence set B in a matrix. When we limited the number of its sequence sets to 4, the form of the resulting sequence set is as follows.
Figure BDA0002420815050000077
Where the first subscript represents the number within the sequence set and the second subscript represents the definition and segmentation thereof under construction.
The invention uses a method for constructing a plurality of sequences in the OFDM system to reduce the peak-to-average ratio of the underwater acoustic communication data of multiple carriers in the transmission process, compared with the prior art, the number of the given sequence sets is enough, and the purpose that the information is transmitted under the specified condition is achieved. The method does not increase the complexity of the OFDM system, and the implementation of the scheme is inevitably advocated at present when the underwater acoustic communication equipment pursues light weight and miniaturization. Secondly, the method for constructing the transmission sequence does not cause additional distortion to signals and increase the complexity of the OFDM system, and not only can increase the adaptability of the OFDM system to severe channel conditions, but also can greatly reduce the construction cost of the system.
The above embodiment is an embodiment of the present invention, but the embodiment of the present invention is not limited by the above embodiment, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be regarded as equivalent replacements within the protection scope of the present invention.

Claims (3)

1. A multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method is characterized by comprising the following steps:
s1, acquiring multi-carrier underwater acoustic communication data needing to be transmitted;
s2, constructing a sequence set of the underwater acoustic communication data of the transmission multi-carrier;
s21, passage length of 2mSequence A of (2) determining a generalized BooleanThe variable m of the function;
s22, outputting a length of 2 by the generalized Boolean function of the variable mmDefining a sequence on QPSK, calculating a function meeting conditions for a generalized Boolean function of each variable m, and obtaining a plurality of functions with the length of 2 through a plurality of functions meeting the conditionsmThe QPSK sequence of (a);
s23, setting the length of the multiple strips as 2mMapping of QPSK sequences from quadrature phase shift keying QPSK to quadrature amplitude modulation 4qOn QAM, resulting in a strip of length 2mSequence B of (a);
s24, repeating the steps S22 and S23 to obtain a plurality of strips with the length of 2mBy a plurality of length 2B sequencesmConstructing a sequence set by the B sequence;
and S3, transmitting the multi-carrier underwater acoustic communication data by using the sequence set.
2. The method for suppressing the peak-to-average power ratio in the multi-carrier based underwater acoustic communication of claim 1, wherein the function meeting the condition in the step S22 is calculated by:
the generalized Boolean function for the variable m is:
Figure FDA0002420815040000011
Figure FDA0002420815040000012
and
Figure FDA0002420815040000013
are two adjacent variables, { pi1,π2,...,πhAnd phi1,φ2,...,φkDivide {1,2, …, m } into two parts randomly, and satisfy h + k ═ m, denoted as m
Figure FDA0002420815040000014
And
Figure FDA0002420815040000015
Z2 hand Z2 kRepresenting a binary vector space, pi represents a permutation of the integer {1,2, … m }, i0,i1,...,ik-1Is a binary representation of i and is,
Figure FDA0002420815040000019
giand gi' respectively in a finite field
Figure FDA0002420815040000017
And
Figure FDA0002420815040000018
the vector of (a);
under different conditions, the generalized Boolean function has different offsets, the offsets under different conditions are limited and calculated;
definition c ═ (c)1,c2,...,ck)∈{0,1}kFor a fixed binary word of length k, a limited offset is defined as s(p)(y | c),1 ≦ p ≦ q-1 and the common pairing difference μ (y | c), there are three different cases that give different offset choices for different conditions:
the first condition is as follows:
Figure FDA0002420815040000021
case two:
Figure FDA0002420815040000022
case three:
Figure FDA0002420815040000023
omega is not less than 1 and not more than h-1, and
Figure FDA0002420815040000024
wherein the content of the first and second substances,
Figure FDA0002420815040000025
representing any number in the space of the quaternary vector, thereby obtaining an offset s(p)(x) Comprises the following steps:
Figure FDA0002420815040000026
wherein
Figure FDA0002420815040000027
When z is equal to c, δ will bec(z) is defined as a value of 1, otherwise is defined as a value of 0;
handle
Figure FDA0002420815040000028
This offset is substituted into the following equation, resulting in a conditional functional expression:
a(p)(x)＝f(x)+s(p)(x)
repeating q times to obtain q eligible functions a(p)(x)。
3. The method for suppressing the peak-to-average power ratio in the multi-carrier based underwater acoustic communication according to claim 2, wherein the specific method in step S23 is as follows: modulating the quadrature amplitude 4q-the sequences on the QAM constellation are regarded as a weighted sum of q QPSK sequences, resulting in a weight ratio of 1:2: …:2qLet the pth sequence be defined as A(p)Wherein p is more than or equal to 0 and less than or equal to q-1 and q is more than or equal to 2, then 4 is normalizedq-QAM sequence represented as
Figure FDA0002420815040000029
Get
Figure FDA00024208150400000210
According to q eligible functions a(p)(x) Q QPSK sequences are obtained, and are respectively brought into 4 normalizedq-obtaining a normalized sequence B in the formula of QAM sequences, and constructing a plurality of normalized sequences B into the obtained sequence set.
CN202010205069.3A 2020-03-23 2020-03-23 Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method Active CN111245526B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202010205069.3A CN111245526B (en) 2020-03-23 2020-03-23 Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202010205069.3A CN111245526B (en) 2020-03-23 2020-03-23 Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method

Publications (2)

Publication Number Publication Date
CN111245526A true CN111245526A (en) 2020-06-05
CN111245526B CN111245526B (en) 2021-04-02

Family

ID=70880591

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202010205069.3A Active CN111245526B (en) 2020-03-23 2020-03-23 Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method

Country Status (1)

Country Link
CN (1) CN111245526B (en)

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8948776B2 (en) * 2012-09-05 2015-02-03 Dynamic Invention Llc Secondary user selection in cooperative sensing scheduling
CN108429591A (en) * 2017-11-13 2018-08-21 西北工业大学 A kind of multicarrier underwater acoustic communication method suitable for deep-sea channel
CN109547377A (en) * 2018-09-26 2019-03-29 唐山照澜海洋科技有限公司 A kind of reduction multicarrier underwater acoustic communication system peak-to-average ratio method for improving companding transform receiving end

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8948776B2 (en) * 2012-09-05 2015-02-03 Dynamic Invention Llc Secondary user selection in cooperative sensing scheduling
CN108429591A (en) * 2017-11-13 2018-08-21 西北工业大学 A kind of multicarrier underwater acoustic communication method suitable for deep-sea channel
CN109547377A (en) * 2018-09-26 2019-03-29 唐山照澜海洋科技有限公司 A kind of reduction multicarrier underwater acoustic communication system peak-to-average ratio method for improving companding transform receiving end

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
G. ROJO 等: "Peak-to-average power ratio (PAR) reduction for acoustic OFDM systems", 《OCEANS 2009》 *
杜红卿: "基于Polar码的OFDM水声通信系统的研究", 《中国优秀硕士学位论文全文数据库 信息科技辑》 *
郭铁梁: "OFDM水声通信系统相关问题研究", 《中国博士学位论文全文数据库 信息科技辑》 *

Also Published As

Publication number Publication date
CN111245526B (en) 2021-04-02

Similar Documents

Publication Publication Date Title
Varahram et al. Partial transmit sequence scheme with new phase sequence for PAPR reduction in OFDM systems
US8199634B2 (en) Signaling method in an OFDM multiple access system
KR20030063665A (en) Method and apparatus for digital communications
CN102273158A (en) Methods and systems for papr reduction in sc-fdma systems
Hasan VLM precoded SLM technique for PAPR reduction in OFDM systems
US7301891B2 (en) Apparatus and method for reducing peak-to-average power ratio in an orthogonal frequency division multiplexing system
JPH10303848A (en) Signal transmission method for ofdm transmitter
CN101340417A (en) Improved iterative PTS method for lowering peak-average-ratio in OFDM system
Hieu et al. PAPR reduction of the low complexity phase weighting method in OFDM communication system
CN102497350B (en) OFDM (Orthogonal Frequency Division Multiplexing) peak-to-average power ratio lowering method based on constellation linear expansion
CN111884761A (en) Data transmission method for transmitting end of single carrier frequency domain equalization system
Ikni et al. PAPR reduction in FBMC-OQAM systems based on discrete sliding norm transform technique
Hasan A new PAPR reduction technique in OFDM systems using linear predictive coding
CN112600783A (en) OTFS (optical transport plane) system peak-to-average ratio suppression method based on Golay block coding
CN111786705B (en) Precoding method, multi-carrier transmission method, transmitter, receiver and system
CN116319212B (en) Multicarrier DCSK signal reconstruction method and device
CN103457896A (en) OFDM peak-to-average ratio restraining method
CN111245526B (en) Multi-carrier-based underwater acoustic communication peak-to-average power ratio suppression method
CN110138423B (en) Non-orthogonal multiplexing method
AhmadiMoghaddam et al. Peak‐to‐average power ratio reduction in LTE‐advanced systems using low complexity and low delay PTS
Arora et al. Partial transmit sequence (PTS)-PAPR reduction technique in OFDM systems with reduced complexity
Bibi et al. Inverted wrap-around limiting with Bussgang noise cancellation receiver for Ofdm signals
Ekengwu et al. Improving Peak to Average Power Ratio of OFDM Signal Using DCT Precoding with Combined Distortion Techniques
Zheng et al. PAPR reduction with compressive sensing for joint radar and communication system
Arulkarthick et al. A hybrid precoded-companding scheme for PAPR reduction in OFDM systems

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