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Block Turbo Decoder Design. Hu Dongwei. Error Correcting Codes. Classic Block Codes BCH RS RM Convolutional Codes (Viterbi)

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Error correcting codes
Error Correcting Codes

  • Classic Block Codes BCH RS RM

  • Convolutional Codes (Viterbi)

  • Turbo Codes Parallel Concatenated Convolutional Codes Serial Concatenated Block Codes



Ml decoding
ML decoding

即寻找一个与接收信号R有最小欧氏距离的码字。


Problems of ml decoding
Problems of MLDecoding

可能的码字个数:26*26=676

需计算这么多欧氏距离,计算量太大


Chase algorithm
Chase Algorithm

Hard Decided Sequence:

Reliability:

Step 1: find p least reliable positions.


Chase algorithm1
Chase Algorithm

Step 2:generate test patterns:

Step 3: decode the test patterns and form the code set C

Step 4: find the minimum distance code D.




Soft output
Soft Output

Computing the soft output corresponding to the jth bit:

In the decoded set C, if we can find a code word that complements with D at the jth bit position and has minimum distance with R


Soft output1
Soft output

  • If we can not find such a word in C,



Iterative decoding
Iterative decoding

Column --- row --- column ----- row ----- column …..



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