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summary - Summary of schemes with and without...

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Summary of schemes with and without retransmission No retransmission Given a code with correction capability = 2 1 min d t we have correct reception when there are up to t errors, and incorrect reception when there are more than t errors. P(C)=P(correct block)=P(up to t errors)= t n t n n j n j p p t n p p n p p n p p C P = + + + = = ) 1 ( ... ) 1 ( 1 ) 1 ( 0 ) 1 ( j n ) ( 1 1 0 0 t 0 j If p<<1 we can approximate with the first term: n n p p p n C P ) 1 ( ) 1 ( 0 ) ( 0 0 = j n j p p P P E P + = = = = ) 1 ( j n errors) t than more ( error) block ( ) ( n 1 t j If p<<1 we can approximate with the first term: 1 1 1 1 ) 1 ( 1 ) 1 ( 1 ) ( + + + + t n t t n t p p t n p p t n E P It must be P(E)+P(C)=1 With retransmission
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