A multi-rate coding method based on time-division block Markov superposition coding
A technology of superimposing coding and coding methods, which is applied in the fields of digital communication and digital storage, and can solve problems such as poor performance and complicated design process
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[0055] refer to figure 1 , this example is used to convert the binary information sequence whose length is K=(n-2)kBL=(10-2)×k×125×1000 u Encoded as length N=(n-2)nB(L+m k )=(10-2)×10×125×(1000+m k ) codeword c , where n=10, k takes values in the set {1,2,3,4,5,6,7,8,9}, that is, the code rate set is {1 / 10,2 / 10,3 / 10, 4 / 10, 5 / 10, 6 / 10, 7 / 10, 8 / 10, 9 / 10}, L=1000 is the number of equal-length (n-2)kB=1000k sequence groupings, code rate 1 / 10 , 2 / 10, 3 / 10, 4 / 10, 5 / 10, 6 / 10, 7 / 10, 8 / 10, and 9 / 10 subcodes correspond to a memory length of m 1 =11,m 2 =33,m 3 =20,m 4 =14,m 5 =10,m 6 =7,m 7 =5,m 8 =3,m 9 =2, the coder is the time-division multi-code rate code of the [10,1] repetition code and the [10,9] parity check code whose length is (n-2)n=80, and its encoding and decoding complexity is O( 10). Such as figure 1 As shown, for a subcode with a code rate of k / 10, the specific encoding steps are as follows:
[0056] (1) Information sequence u Divide into 1000 equal-le...
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