Ring code-based multivariate low-density check code design method for satellite communication link
A low-density check code and satellite communication technology, which is applied in the field of multi-element low-density check code design based on ring codes for satellite communication links, can solve problems such as tight link budget and high propagation loss of satellite communication links, and achieve Simplify the construction method, improve the decoding performance, and the effect of high-efficiency coding
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[0040] In this embodiment, n represents a finite field GF (2 6 ), k b=288 represents the number of information bits, k represents the number of information symbols, R represents the code rate, H represents the parity check matrix, H b represents the basis matrix.
[0041] like figure 1 As shown, a ring code-based multivariate low-density check code design method for satellite communication links, the specific implementation steps are as follows:
[0042] 1. Define the finite field GF(2 6 )
[0043] For the prime number 2, there exists a finite field, expressed as GF(2), which contains 2 elements {0, 1}. Extend GF(2) to a 2 6 The field of elements, denoted as GF(2 6 ). GF(2 6 ) in any non-zero element can be represented by the power of its primitive element α=2, GF(2 6 ) on the infinite set F can be formed according to the element set {0,1,α}, and the latter element is obtained by multiplying an item by α, then the infinite set F is as follows:
[0044] F={0,α 0 ,α ...
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Abstract
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