Multi-user random access system based on rateless codes and coding and decoding method thereof
A random access, no rate code technology, applied in transmission systems, digital transmission systems, wireless communications, etc., can solve the problems of unreliable transmission and transmission waste.
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Embodiment 1
[0093] Embodiment 1: When encoding adopts LT Code, encode as follows:
[0094] Perform LT encoding on m=1024 message data packets to generate Tanner diagram of LT Code, and obtain encoding packets of LT Code continuously generated. use v k (s) represents the coding package of LT Code, wherein s is the numbering (s=1, 2, ...) of the coding package, and the subscript k is the numbering (k=1, 2, ..., K) of the user, The encoding method is: to generate LT Code encoding package v k (s), first according to the degree distribution Ω(x) (the parameters of the distribution are shown in Table 1, where Ω i Indicates the proportion of the degree i), use a random number generator to generate the degree deg for it k (s); then use a random number generator to generate a 1024-dimensional binary domain vector (i=1,2,...,1024), element The value of "0" or "1", where the number of elements "1" is deg k (s). element "1" indicates that the corresponding number is i message data packet d...
Embodiment 2
[0100] Embodiment 2: when encoding adopts Raptor Code (it is made up of the high code rate LDPC Code of outer code part and the LT Code concatenation of inner code part), encode as follows:
[0101] The first step of encoding, according to the Linear-Time PEG Encoding algorithm (see "Regular and IrregularProgressive Edge-Growth Tanner Graphs", IEEE Transactions On Information Theory, Vol.51, No.1, January 2005), for m=1024 message packets Perform LDPC encoding to generate a Tanner graph of LDPC Code, and then obtain n=1072 encoding packets of LDPC Code. use t k (l) represents the encoding package of LDPC Code, wherein l is the numbering (l=1,2,...,1072) of the encoding package, and the subscript k is the numbering (k=1,2,...,K) of the user ).
[0102] The Tanner image of the LDPC Code in the outer part of the Raptor Code is as follows image 3 As shown, there are two types of nodes in the figure, and the circles represent variable nodes, with a total of n=1072, denoted as V...
Embodiment 3
[0113] Embodiment 3: When the mapping mode is BPSK, v k Each bit in (s) is mapped to w kA symbol in (s), the mapping method is: "0→+1, 1→-1", and the coded packet w after mapping is obtained k (s).
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