Cyclic code blind-identification method
A cyclic code and blind recognition technology, applied in the field of code recognition, can solve the problems of less channel coding blind recognition and no public information, and achieve the effect of wide application, filling the gap of blind recognition technology, and high speed.
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[0039] Taking the most commonly used binary BCH code in cyclic codes as an example, the (7, 4) binary BCH code is identified.
[0040] Assuming that 4 codewords are received, that is, L=4, the codewords and corresponding code polynomials are shown in Table 1.
[0041] Table 1 (7, 4) BCH codewords and corresponding code polynomials
[0042] numbers code polynomial 1000101 c 0 (x)=x 6 +x 2 +1 1110100 c 1 (x)=x 6 +x 5 +x 4 +x 2 0100111 c 2 (x)=x 5 +x 2 +x+1 0111010 c 3 (x)=x 5 +x 4 +x 3 +x
[0043] The identification process is as follows:
[0044] (1) Initialization: g 0 = c 0 (x),j=1;
[0045] (2) Calculate g j (x)=g 1 (x)=x 3 +x+1;
[0046] (3) j
[0047] (4) Calculate g j (x)=g 2 (x)=x 3 +x+1;
[0048] (5) j
[0049] (6) calculate g i (x)=g 3 (x)=x 3 +x+1;
[0050] (7) j=L-1, the recursion ends;
[0051] (8) Since it is a binary code, g(x)=x 3 +x+1;
[005...
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