assignment2 - Copy - Error Control Coding Asssignment 2 Due...

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1 Error Control Coding Asssignment 2 Due 11:00 am Friday 29 April 2011 Value in brackets indicates marks for each question. Total value of marks is 20. This assign- ment counts towards 12.5% of the total assessment. Question 1 (2): The parity check matrix for a linear code is H + ȧ ȡ Ȣ 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 ȧ ȣ Ȥ Determine whether or not the following vectors are codewords in the code v 1 = 0 0 1 1 0 0 0 v 2 = 1 0 1 0 0 0 1 v 3 = 1 1 1 0 1 0 0 v 4 = 0 1 0 1 0 1 1 v 5 = 1 1 0 1 0 0 0 Question 2 (5): The generator matrix for a (6,3) systematic binary linear block code is G + ȧ ȡ Ȣ 0 1 1 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 ȧ ȣ Ȥ (a) What is the parity check matrix for this code? (b) Generate the standard array for this code. Note: One double error pattern will be used to complete the array. (c) Calculate the syndrome vector for all of the correctable error patterns. (d) Decode (i.e., find the message vector) the received sequence r = 101100. Question 3 (6): The message u = 101 is transmitted over a communications link using ideal BPSK modulation. The system achieves E
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