Design a binary huffman code for the source

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A discrete memory less source produces outputs {a₁, a_2, a₃, a₄, a₅}. The corresponding output probabilities are 0.8, 0.1, 0.05, 0.04, and 0.01.

1. Design a binary Huffman code for the source. Find the average codeword length. Compare it to the minimum possible average codeword length.

2. Assume that we have a binary symmetric channel with crossover probability ε = 0.3. Is it possible to transmit the source reliably over the channel? Why?

3. Is it possible to transmit the source over the channel employing Huffman code designed for single source outputs?

Reference no: EM131358856

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