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assignment4v1

# assignment4v1 - COSC 4214 Digital Communications Assignment...

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COSC 4214: Digital Communications Assignment # 4: Channel Coding Coverage: Section 6.1 – 6.7, Sections 7.1 – 7.3 Due Date: November 29, 2006 Problem 1 (Probability of Symbol Error): Calculate the probability of message error for a 12-bit data sequence encoded with a (24, 12) linear block code. Assume that the code corrects all 1-bit and 2-bit error patterns and assume that it corrects no error patterns with no more than two errors. Also, assume that the probability of a channel symbol error is 10 - 3 . Problem 2 (BPSK with linear block code): Calculate the improvement in probability of message error relative to an uncoded transmission for a (24, 12) double-error-correcting linear block code. Assume that coherent BPSK modulation is used and that the received E b / N 0 = 10 dB. Problem 3 (Linear Block Code): Design an (7, 4) linear block code whose generator matrix is given by = 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 G by solving the following questions.

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assignment4v1 - COSC 4214 Digital Communications Assignment...

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