Codeword constructing method for variable length Polar code
A construction method and a variable technology, applied in the field of communication channel coding, can solve problems such as increased decoding error probability and loss of communication system performance, and achieve the effects of reducing bit error rate, improving communication system performance, and reducing delay
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Embodiment 1
[0058] Example 1 : The construction process of the generator matrix of the Polar code with code length N=6.
[0059] Step 1: A binary bit sequence with code length N=6 is expressed as s={1,1,0}.
[0060] Step 2: according to the binary bit sequence that step 1 obtains, select the combination matrix that forms code length N=6:
[0061] According to 6=2 2 +2 1 = l 1 +l 2 , so the sub-matrix with a code length of 6 is obtained as G 4×4 ,G 2×2 .
[0062] Step 3: Combine the sub-matrices obtained in step 2 to form the generator matrix with code length N=6 through the Combo-Sum operation. The operation process is as follows:
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Embodiment 2
[0064] Example 2 : The process of constructing the generator matrix of the Polar code with code length N=11.
[0065] Step 1: A binary bit sequence with code length N=11 is expressed as s={1,0,1,1}.
[0066] Step 2: according to the binary bit sequence that step 1 obtains, select the combination matrix that forms code length N=11:
[0067] According to 11=2 3 +2 1 +2 0 = l 1 +l 2 +l 3 , the size of the submatrix is l 1 =8, l 2 = 2, l 3 =1. Therefore, the sub-matrix with a code length of 11 is obtained as G 8×8 ,G 2×2 ,G 1×1 .
[0068] Step 3: Combine the sub-matrices obtained in step 2 to form the generator matrix with code length N=11 through the Combo-Sum operation. The operation process is as follows:
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