assignment1 - Copy - Error Control Coding Asssignment 1 Due...

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1 Error Control Coding Asssignment 1 Due 11:00 am Friday 1 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 (4): Consider an error correction code which generates codewords by simply re- peating each information symbol five times. (a) What is the code rate? (b) How many codewords are in the code? (c) What is the minimum distance of the code? (d) What fraction of all possible codewords are used in the code? Question 2 (3): Consider the code of Table 1. Calculate the number of codewords with Ham- ming weight w = 0, 1,. .., 7. Calculate the Hamming distance d between each codeword and codeword 1111111. Compare the number of codewords with Hamming weight w = 0, 1,. .., 7 with the number of codewords with Hamming distance d from 1111111. Table 1: Typical Block Code Message Number Message Codeword 0 0000 0000000 1 0001 1100001 2 0010 0110010 3 0011 1010011 4 0100 1110100 5 0101 0010101
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assignment1 - Copy - Error Control Coding Asssignment 1 Due...

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