Unformatted text preview: (i) What error pattern(s) can the code detect? (ii) Calculate the redundancy and the code rate. (iii) Assume that all symbol errors are independent events and that the probability of a channel symbol error is p = 0.002. Calculate the probability of an undetected message error. (b) Suppose that the 3-bit messages are now grouped in two and encoded by a (12,6) rectangular code in order to improve the capability of error detection and correction. (i) Calculate the redundancy and the code rate. (ii) The advantage of using this encoding scheme instead of the single-parity code is that any single-bit error can be detected and corrected . However, any detected block error that is caused by two or more error bits still cannot be corrected. Find the block error probability that the decoded block is found to have an uncorrected error....
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- Spring '11
- Information Theory, error detection, 3-bit, rate distortion function, Rate Distortion Theory, distortion rate function