16. Error correction k = message, FCS = frame check sequence,FEC=forward error correction n = total bit to be transmit (k+FCS or k + FEC)) On transmission end , each k bit block of data is mapped into an n-bit block (n> k ) called codeword, using FEC encoder, the codeword is then transmitted. Due to the impairments, which may produce bit errors in the signal, the block of data is passed through an FEC decoder with one of four possible outcome DIAGRAM
17.
18. Block Code Principles HAMMING DISTANCE = d( V1, V2 ) which v1 disagree v2 Rule = select lowest d(v1,v2) as original codeword example v1 = 011011 v2= 110001 , so d (v1,v2)= 3 Example For k =2 and n = 5 Data block codeword received codeword = 00100 00 00000 d(v1,v2) = 1 01 00111 d(v1,v2) = 2 10 11001 d(v1,v2)=3 11 11110 d(v1,v2)=4