CN109639393B - Sliding window network coding method based on quadratic permutation polynomial - Google Patents
Sliding window network coding method based on quadratic permutation polynomial Download PDFInfo
- Publication number
- CN109639393B CN109639393B CN201811362272.0A CN201811362272A CN109639393B CN 109639393 B CN109639393 B CN 109639393B CN 201811362272 A CN201811362272 A CN 201811362272A CN 109639393 B CN109639393 B CN 109639393B
- Authority
- CN
- China
- Prior art keywords
- sliding window
- network coding
- data packet
- permutation polynomial
- network
- 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
Links
- 238000000034 method Methods 0.000 claims abstract description 31
- 239000011159 matrix material Substances 0.000 claims description 5
- 230000005540 biological transmission Effects 0.000 claims description 4
- 230000008569 process Effects 0.000 claims description 4
- 230000007246 mechanism Effects 0.000 abstract description 5
- 238000010586 diagram Methods 0.000 description 2
- 230000006872 improvement Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000002035 prolonged effect Effects 0.000 description 1
Images
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0076—Distributed coding, e.g. network coding, involving channel coding
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/0001—Systems modifying transmission characteristics according to link quality, e.g. power backoff
- H04L1/0006—Systems modifying transmission characteristics according to link quality, e.g. power backoff by adapting the transmission format
Landscapes
- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Quality & Reliability (AREA)
- Mobile Radio Communication Systems (AREA)
Abstract
The invention belongs to the technical field of network coding, and discloses a sliding window network coding method based on a quadratic permutation polynomial, which comprises the following steps of (1) determining the size of a data packet to be transmitted in a wireless network; (2) determining a quadratic permutation polynomial; (3) determining the value of the quadratic permutation polynomial and the size of the sliding window; (4) the data packet enters a sliding window; (5) carrying out network coding on the data packet in the window and then transmitting the data packet; (6) the receiver receives the data packet and performs decoding operation until all the data packets are received and the original data packet is recovered; the sliding window network coding method provided by the invention only carries out coding operation on the data packet entering the sliding window, reduces the complexity and the calculation time of network coding/decoding operation, and realizes a rapid network coding mechanism, thereby maximally improving the data throughput of the wireless network and prolonging the network lifetime.
Description
Technical Field
The invention belongs to the technical field of network coding, and particularly relates to a sliding window network coding method based on a quadratic permutation polynomial.
Background
The method and device for determining sliding window data disclosed in the prior art are used for solving the problem that the sliding window data included in a certain moment is determined in the prior artThe statistics value, the number of the data needed to be acquired by the adopted mode is more, and the consumption of system resources is larger. The method and the device for controlling the sliding window to move disclosed by the prior art solve the problem that when no event is input into a server, the sliding window of the server cannot slide backwards, so that the event which falls into the sliding window before cannot be processed and output. A Quadratic Permutation Polynomial (QPP) interleaver disclosed in the prior art, for the sequence u input to the interleaverkBy the function f (i) ═ (f)1i+f2i) mod (k) interleaving to improve Turbo code performance. In the network coding method based on the sliding window disclosed in the prior art, the size of the sliding window is determined, and only data packets in the sliding window are coded, so that the reliability of network coding is further improved, the decoding complexity is obviously reduced, and the data throughput of a network is maximized and the network lifetime is greatly prolonged while the rapid network coding is realized.
However, in the prior art, the permutation polynomial is mainly used for the application of the interleaver and the Turbo code in some fields, and in the sliding window mechanism, strong theoretical support for the size of the sliding window, the size of the sliding cadence and the like is lacked. When a data packet is lost in the network, the following series of data packets cannot be transmitted immediately, so that a receiving node needs to cache a large number of data packets, and meanwhile, the size of a sliding window, the transmission control of data, and the scale of a decoding coefficient matrix are increased, and the decoding complexity is increased.
Disclosure of Invention
In view of the above defects or improvement requirements of the prior art, the present invention provides a sliding window network coding method based on quadratic permutation polynomial, which aims to improve the coding/decoding efficiency of network coding, thereby maximally improving the data throughput of the network and prolonging the network lifetime.
To achieve the above object, according to an aspect of the present invention, there is provided a sliding window network coding method based on quadratic permutation polynomial, including the steps of:
(1) determining the size of a data packet to be transmitted in a wireless network;
(2) constructing a quadratic permutation polynomial;
(3) determining the value of the quadratic permutation polynomial and the size of the sliding window;
(4) the data packet to be transmitted enters a sliding window, and the data packet in the sliding window is transmitted after network coding;
(5) the receiver decodes the received network code to recover the original data packet.
Preferably, in the sliding window network coding method based on quadratic permutation polynomial, the network coding is in the finite field GF (2)n) Wherein a linear combination of source vector coefficients is randomly selected, allowing input of combined data packets from intermediate nodes, each combined data packet comprising a linear combination of source data packets.
Preferably, in the sliding window network coding method based on quadratic permutation polynomial, quadratic permutation polynomial p (x) is defined as: p (x) ax2+ bx, where a, b, x are all non-negative integers, p (x) ax2The modulus of + bx is N.
Preferably, in the sliding window network coding method based on quadratic permutation polynomial, quadratic permutation polynomial p (x) -84 x is used2+41 × modulo 112, i.e., N ═ 112; the quadratic permutation polynomial p supports 4 window sizes, 56, 28, 14 and 7 respectively.
Preferably, in the sliding window network coding method based on the quadratic permutation polynomial, the size of the sliding window is adjusted according to the quadratic permutation polynomial in the sliding process to improve the performance of the sliding window.
Preferably, in the sliding window network coding method based on quadratic permutation polynomial, the method for recombining the data packet to be transmitted into the sliding window specifically includes:
for a linear combination subset R ═ G of the rows of the network node transmission matrix Gq0,…,Gq|R|-1F, starting from the sliding windowrComputing a related sliding window result edge er＝fr+w-1；
Encoding vector
Wherein, ciIs a random number and satisfies P { c }i＝1}＝1/2，
Refers to the ith sliding window, w refers to the length of the sliding window, and r refers to the starting value of the sliding window.
In general, compared with the prior art, the above technical solution contemplated by the present invention can achieve the following beneficial effects:
the sliding window network coding method based on the quadratic permutation polynomial only carries out coding operation on the data packets entering the sliding window, reduces the complexity and the calculation time of network coding/decoding operation, realizes rapid network coding, thereby maximally improving the data throughput of a wireless network and prolonging the network lifetime.
Drawings
FIG. 1 is a schematic flow chart of a sliding window network coding method based on quadratic permutation polynomial according to the present invention;
FIG. 2 is a diagram illustrating the length and external values of sub-windows in an embodiment of the present invention.
Fig. 3 is a schematic structural diagram of a sliding mechanism based on the sliding window length of the quadratic permutation polynomial according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
The sliding window network coding method based on quadratic permutation polynomial provided by the embodiment, referring to fig. 1, includes the following steps:
(1) determining the size of a data packet to be transmitted in a wireless network;
(2) constructing a quadratic permutation polynomial;
(3) determining the value of the quadratic permutation polynomial and the size of the sliding window;
(4) the data packet to be transmitted enters a sliding window, and the data packet in the window is transmitted after network coding;
(5) and the receiver encodes and decodes the received network and recovers the original data packet until all the data packets are decoded.
The following is further described in conjunction with the specific embodiments. In an embodiment, a wireless network is represented as an undirected graph G ═ V, E, where V represents a set of nodes in the network and E represents a set of links. Each link E ═ j ∈ E represents a direct connection between node i and node j, and if (i, j) ∈ E and (j, i) ∈ E, assuming that the links are symmetric, whether the two links interfere with each other depends on the interference model used.
The network coding process in the embodiment is in the finite field GF (2)n) In which a linear combination of source vector coefficients is randomly selected. x is the number of0,x1,…,xn-1Representing the source data packet associated with the node. Linear network coding allows the input of combined data packets from intermediate nodes, each combined data packet containing a linear combination of source data packets.
In an embodiment, the quadratic permutation polynomial p (x) is defined as: p (x) ax2+ bx, where a, b, x are all non-negative integers, p (x) ax2The modulus of + bx is N.
Polynomial p (x) ax2+ bx (mod n) as an essential condition for the permutation polynomial includes:
1) for all N is more than or equal to 2, gcd (b, N) is 1, and each prime factor of N is a factor of a; the gcd (b, N) represents the greatest common divisor of the two positive integers b and N.
2) For all a and b (a ≧ 1, b ≧ 1), a + b is odd, gcd (b, N/2) ═ 1, and each prime factor of N not equal to 2 is a's factor.
Second order permutation polynomial p (x) ax2+ bx (mod N) in integer set ZNIs irreducible, if and only if N>gcd(N,2a)。
Let p (x) be 84x2Modulo +41x 112, i.e. N112, by looking at the factor of N112, we have that the quadratic permutation polynomial p supports 4 window sizes, 56, 28, 14 and 7 respectively, for accessing 2, 4, 8 and 16 external values simultaneously.
Fig. 2 illustrates that when N is 112, the parallelism of the parallel access method is 4, and when the length of the sub-window is 14, the external value is calculated by the maximum contention-free parallel access storage method; the number in each cell represents the external value eiIndex (i ═ 0,1,2, …, 111).
Fig. 3 illustrates a sliding mechanism structure proposed based on the sliding window length of the quadratic permutation polynomial in the embodiment. Assuming that the length of the data is N information bits, the length of the sliding window is w information bits or an integer multiple of w, and the sliding mechanism of the ith (i is more than or equal to 1 and less than or equal to N/w) sliding window is shown in FIG. 3; in order to effectively improve the performance of the sliding window, the size of the sliding window is adjusted according to the quadratic permutation polynomial in the sliding process; the sliding window length based on the quadratic permutation polynomial can adaptively adjust the length of each sliding window, and the sliding window length is prevented from being too large or too small.
The network node encodes the data packet using the encoding vector, recursively performs an encoding operation and obtains an encoded data packet.
Suppose a node has received and stored a set (a)1,X1),(a2,X2),…,(am,Xm) Wherein X isiRepresenting an information symbol, aiIs an additional code vector for the data packet. The node selects a set of coefficients ei＝(ei0,ei1,…,eim) Calculating linear combinations
A new encoded packet (a ', X') is generated based on the linear combination. The homologous encoding vector a' is not simply equal to e, since these coefficients are not identical to the original dataPacket X ═ X0,x1,…,xn-1) Related to, by comparison, obtaining
And repeatedly encoding on a plurality of nodes in the network to obtain an encoding vector, and generating a network encoding data packet.
The data packet to be transmitted enters a sliding window, and the data packet is recombined in the sliding window, which is as follows:
each time transmission of a data packet is started, the network node transmits a linear combination subset of the rows of the matrix G. First starting from the sliding window edge frAnd calculates the relative sliding window result edge er＝fr+ w-1. Let R ═ Gq0,…,Gq|R|-1Is the set of rows of the matrix G,
and
and
respectively representing sliding windows
The starting edge and the resulting edge. Coding vector grThe linear combination of the elements R starts to accumulate, i.e.:
ciis a random number and satisfies P { c }i＝1}＝1/2。
In a sliding window network coding method based on a quadratic permutation polynomial in a wireless network, O (N) time is needed for initializing a sliding window, O (e) time is needed for finding the sliding coding window, O (eTN) time is needed for constructing a sliding window for each te T, and the global situation is thatThe encoding of a code vector in a sliding window requires O (T)2N) time, total coding time is O (eT)2N)。
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (5)
1. A sliding window network coding method based on quadratic permutation polynomial is characterized by comprising the following steps:
(1) determining the size of a data packet to be transmitted in a wireless network;
(2) constructing a quadratic permutation polynomial;
(3) determining the value of the quadratic permutation polynomial and the size of the sliding window;
(4) the data packet to be transmitted enters a sliding window, and the data packet in the sliding window is transmitted after network coding;
(5) the receiver decodes the received network code to recover the original data packet;
the method for recombining the data packets to be transmitted into the sliding window specifically comprises the following steps:
for a linear combination subset R ═ G of the rows of the network node transmission matrix Gq0,…,Gq|R|-1F, starting from the sliding windowrComputing a related sliding window result edge er＝fr+w-1；
Encoding vector
Wherein, ciIs a random number and satisfies P { c }i＝1}＝1/2，
Refers to the ith sliding window, w refers to the length of the sliding window, r refers to the start of the sliding windowThe value is obtained.
2. The sliding-window network coding method of claim 1, wherein the network coding is in a finite field GF (2)n) Wherein a linear combination of source vector coefficients is randomly selected, allowing input of combined data packets from intermediate nodes, each combined data packet comprising a linear combination of source data packets.
3. A sliding window network coding method according to claim 1 or 2, characterized in that the quadratic permutation polynomial p (x) is defined as: p (x) ax2+ bx, where a, b, x are all non-negative integers, p (x) ax2The modulus of + bx is N.
4. A sliding window network coding method according to claim 1 or 2, wherein the quadratic permutation polynomial p (x) 84x is used2+41 × modulo 112, i.e., N ═ 112; the quadratic permutation polynomial p supports 4 window sizes, 56, 28, 14 and 7 respectively.
5. A sliding window network coding method according to claim 1 or 2, wherein the size of the sliding window is adjusted according to a quadratic permutation polynomial in the sliding process to improve the performance of the sliding window.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811362272.0A CN109639393B (en) | 2018-11-15 | 2018-11-15 | Sliding window network coding method based on quadratic permutation polynomial |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811362272.0A CN109639393B (en) | 2018-11-15 | 2018-11-15 | Sliding window network coding method based on quadratic permutation polynomial |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN109639393A CN109639393A (en) | 2019-04-16 |
| CN109639393B true CN109639393B (en) | 2021-07-06 |
Family
ID=66068237
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201811362272.0A Active CN109639393B (en) | 2018-11-15 | 2018-11-15 | Sliding window network coding method based on quadratic permutation polynomial |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109639393B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113537464A (en) * | 2021-07-06 | 2021-10-22 | 中国人民解放军战略支援部队信息工程大学 | Control method, control management platform, equipment, medium and program product of neural network model |
| CN114610424A (en) * | 2022-02-11 | 2022-06-10 | 阿里巴巴（中国）有限公司 | Data processing method, window display method of cloud application and storage medium |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101651458A (en) * | 2008-08-13 | 2010-02-17 | 华为技术有限公司 | Turbo parallel decoding method, device and system |
| CN105227268A (en) * | 2015-10-16 | 2016-01-06 | 中国人民解放军国防科学技术大学 | A kind of encoding block self-adapting regulation method towards coding transmission agreement |
| CN105515728A (en) * | 2015-11-24 | 2016-04-20 | 湖北经济学院 | Sliding-window-based network coding method |
| CN108476027A (en) * | 2016-01-13 | 2018-08-31 | 杜塞尔多夫华为技术有限公司 | TURBO (WI-TURBO) code that window interweaves |
Family Cites Families (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8065588B2 (en) * | 2007-01-17 | 2011-11-22 | Broadcom Corporation | Formulaic flexible collision-free memory accessing for parallel turbo decoding with quadratic polynomial permutation (QPP) interleave |
| US9007988B2 (en) * | 2008-02-11 | 2015-04-14 | Texas Instruments Incorporated | Partial CQI feedback in wireless networks |
| CN107733570B (en) * | 2017-09-27 | 2020-08-14 | 西安邮电大学 | Algebraic Interleaver-Based Constellation Mapping Method and Mapping Method Search Method |
-
2018
- 2018-11-15 CN CN201811362272.0A patent/CN109639393B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101651458A (en) * | 2008-08-13 | 2010-02-17 | 华为技术有限公司 | Turbo parallel decoding method, device and system |
| CN105227268A (en) * | 2015-10-16 | 2016-01-06 | 中国人民解放军国防科学技术大学 | A kind of encoding block self-adapting regulation method towards coding transmission agreement |
| CN105515728A (en) * | 2015-11-24 | 2016-04-20 | 湖北经济学院 | Sliding-window-based network coding method |
| CN108476027A (en) * | 2016-01-13 | 2018-08-31 | 杜塞尔多夫华为技术有限公司 | TURBO (WI-TURBO) code that window interweaves |
Non-Patent Citations (3)
| Title |
|---|
| Chao Gui.Quadratic Permutation Polynomials-Based Sliding Window Network Coding in MANETs.《International Conference on Green,Pervasive,and Cloud Computing》.2018,第474-481页. * |
| Performance Analysis of Variable Length Sliding Window Network Coding in MANETs;Yan Xie;《2017 4th International Conference on Systems and Informatics(ICSAI)》;20171113;第882-883页 * |
| Quadratic Permutation Polynomials-Based Sliding Window Network Coding in MANETs;Chao Gui;《International Conference on Green,Pervasive,and Cloud Computing》;20180511;第476-478页 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN109639393A (en) | 2019-04-16 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| US8533555B2 (en) | Efficient encoding and decoding methods for representing schedules and processing forward error correction codes | |
| KR101270815B1 (en) | In-place transformations with applications to encoding and decoding various classes of codes | |
| JP7638011B2 (en) | MEDIUM CONTENT BASED SELF-ADAPTIVE SYSTEM CODE FEC ENCODING AND DECODING METHOD, APPARATUS, SYSTEM AND MEDIUM | |
| WO2018171401A1 (en) | Information processing method, apparatus and device | |
| WO2018149411A1 (en) | Data processing method and device | |
| KR20200066606A (en) | Block-wise parallel freezing bit generation for polar code | |
| WO2021027487A1 (en) | Encoding method and related device | |
| CN109639393B (en) | Sliding window network coding method based on quadratic permutation polynomial | |
| CN107733562B (en) | Method and device for encoding and decoding polarization code | |
| Zao et al. | Design of optimal short-length LT codes using evolution strategies | |
| CN103026636B (en) | Orthogonal multiple description coded | |
| EP3035540B1 (en) | Maximum likelihood erasure decoding of sparse graph codes | |
| El-Khamy et al. | Relaxed channel polarization for reduced complexity polar coding | |
| CN113037437A (en) | Data transmission method and device | |
| CN110798284A (en) | Polarization code transmission method based on double BP decoding graph parallel decoding technology | |
| US12047171B2 (en) | Selection of pivot positions for linear network codes | |
| US7663512B2 (en) | Decoder and method for decoding a message using an arbitrary-side growing Huffman tree | |
| Huang et al. | Research of error control coding and decoding | |
| CN114039718B (en) | Hash coding method and system of self-adaptive weighted probability model | |
| Chong et al. | Stepping-random code: a rateless erasure code for short-length messages | |
| Cao | Joint source and channel coding for image transmission over time varying channels | |
| Schindelhauer et al. | Cyclone codes | |
| Mahajan et al. | Algorithms for data compression in wireless computing systems | |
| Zribi | Arithmetic Coding for Length-constrained Joint Source Compression and Error Detection | |
| CN118100960A (en) | A Polar code adaptive encoding and decoding method based on software radio platform |
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 |