Encoding constraint and probability calculation based encoding and decoding synchronization method
A technology of probability calculation and coding constraints, applied in synchronization devices, digital transmission systems, electrical components, etc., can solve the problems of low performance and high complexity of synchronization algorithms
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Embodiment 1
[0055] Taking the (7, 4) Hamming code with n=7, k=4 as an example, "a codec synchronization method" described in the present invention is used to realize synchronization. The check matrix of the Hamming code is:
[0056] H = 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 ...
Embodiment 2
[0071] N=504 designed by R.Gallager, information length K=252, code rate 0.5, low-density parity-check code calculation synchronization. The encoding is regular LDPC encoding, the average row encoding degree is 6, the average column encoding degree is 3, and the actual transmission synchronization is at I=0 position. Calculate the value of the cost function C(I) for 1, 5 or 10 code groups respectively, and the synchronization results are as follows image 3 shown, where E b / N 0 = 1dB. The horizontal axis represents the offset I, and the vertical axis represents the value of the cost function C(I). Take L=1, 5 and 10 respectively to calculate the value of the cost function C(I). Through observation, it is found that under the conditions of three different L values, the peak probability of C(I) at I=0 is relatively large, and as the number of groups increases, the synchronization performance is significantly improved. Furthermore, when the number of received data groups pa...
Embodiment 3
[0073] In order to reduce the complexity of the receiver synchronization algorithm when the number of check equations of the error correction code used is large, in the calculation formula (4) of the cost function, select M'<M instead of M. That is, in the synchronization calculation of the LDPC in the above-mentioned embodiment 2, the synchronization probability calculation can be performed by adopting a partial check equation method, and a good synchronization effect can also be obtained.
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