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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.

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example
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
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')