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Maximum Likelihood Detection of Binary Repetition Code
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Learn how to decode a binary repetition code using Maximum Likelihood Detection with cross-over probability in Matlab. Example by Dr. Muqaibel.
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Maximum Likelihood Detection of Binary Repetition Code
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Maximum Likelihood Detection Dr. Muqaibel
Example A binary repetition code is used where 0 is encoded as 000 and 1 is encoded as 111. What is your decoding decision if what you receive over a BSC with cross over probability=0.3 is 101. • Using Minimum Distance Decoding. • Using Maximum Likelihood detection if p(0)=0.8 & p(1)=0.2. • Comment
Matlab illustration % Dr. Ali Muqaibel 072 March 2008 %c1:000 c2=111 r=101 pc1=0:0.01:1; pc2=1-pc1; t2=1; t1=2; p=0.3; y=t1-t2-log(pc2./pc1)/log(p/(1-p)); % note log(p/(1-p)) is a negative number which flips the probability. plot (pc1,y) xlabel ('pc1')
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