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# homeworksol - EE 421 Fall 2010 Solution to Homework 3...

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EE 421 – Fall 2010 – Solution to Homework 3 Problem 1 Consider the encoder shown in the figure below. Determine the encoder rate R c , the parameters n and k, the encoder memory m and constraint length K Determine the effective rate if L=1000 bits are transmitted Determine the k generating vectors (or impulse responses g i ) Draw the state diagram, specifying the state labels, the input bit and the output bits for each transition Determine the codeword associated with the input sequence 11101 (where the sequence of three ones are the initial input)

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Problem 2 Given the encoder: Determine the encoder rate R c , the parameters n and k, the encoder memory m and constraint length K, say if the encoder is systematic Determine the effective rate if L=300 bits are transmitted Draw the state diagram, specifying state labels, input bit and output bits for each transition Determine the codeword Y=Y 1 (1) Y 1 (2) Y 1 (3) Y 2 (1) Y 2 (2) Y 2 (3) Y 3 (1) Y 3 (2)
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homeworksol - EE 421 Fall 2010 Solution to Homework 3...

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