(b) What is the probability of error if we used all the 8 possible sequences of length 3 ascodewords?(c) Now consider a binary erasure channel with erasure probability 0.1. Again, if we usedthe two codeword code 000 and 111, then received sequences 00E,OEO,E00,0EE, EOE.EEOwould all be decoded as 0, and similarly we would decode 11E, 1E1,E11, 1EE,E1E, EE1as 1. If we received the sequence EEE we would not know if it was a 000 or a 111 thatwas sent - so we choose one of these two at random, and are wrong half the time. Whatis the probability of error for this code over the erasure channel? 4.(a) Find the best code of length 3 with four codewords for binary symmetric channel witherror probability € = 0.1. What is the probability of error for this code? (Note that allpossible received sequences should be mapped onto possible codewords)1

The amount of symbols output while an encoded operation takes place in an encoder. Usually the…

Answered: (a) Find the best code of length 3 with…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(a) Find the best code of length 3 with four codewords for binary symmetric channel with error probability = 0.1. What is the probability of error for this code? (Note that all possible received sequences should be mapped onto possible codewords)