Method for decoding fountain code and underwater acoustic communication transmission method of fountain code
A technology of underwater acoustic communication and fountain code, which is applied in the transmission system, digital transmission system, transmission data organization to avoid errors, etc. It can solve the problems of long waiting time for decoding, large amount of decoding calculation, and low channel utilization. Achieve the effects of avoiding the influence of channel utilization, low redundant frame ratio, and improving utilization
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[0030] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.
[0031] Divide a complete data packet into blocks, each block contains M bits, a total of K data blocks, and the mth bit in the kth data block is recorded as S k,m (1≤k≤K, 1≤m≤M); the mth element in the nth coding block is denoted as T n,m (1≤n≤N,1≤m≤M), then
[0032]
[0033] where G n,k To generate a matrix, the value of its elements is 0 or 1, and the binary random value;
[0034] The encoding process is written in the form of a matrix as:
[0035] T=GS
[0036] Among them, T is the encoding matrix, G is the generator matrix, and S is the input information matrix.
[0037] The rank of the generated matrix is K, and the augmented matrix [G T] is simplified by the Gaussian elimination method to obtain a row-simplified matrix where I is the identity matrix and 0 is the zero matrix. The row-simple form matrix contains the i...
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