Finding the average codeword length, Applied Statistics

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Finding the average codeword length

Solve the following problem:

A discrete memory less source produces outputs {a₁, a₂, a₃, a₄, a₅, a₆}. The corresponding output probabilities are 0.7, 0.1, 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. Is it possible to transmit this source reliably at a rate of 1.5 bits per source symbol? Why?

3. Is it possible to transmit the source at a rate of 1.5 bits per source symbol employing the Huffman code designed in part 1?

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Applied Statistics: Finding the average codeword length

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Applied Statistics: Finding the average codeword length

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