Determine the average bit rate - huffman codebook, Mathematics

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1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are

P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3.

a. Design a Huffman codebook for these symbols. Determine the average bit rate and compared it to the entropy of this source.

b. Code the sequence {aacddacbda} using the codebook you designed. Write the resulting binary bitsteam. Calculate the average bit rate.

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