Problem 4: A discrete memoryless source produces outputs {a1, a2, a3, a4, as, d6). 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.

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Problem 4:
A discrete memoryless source produces outputs {a1, a2, az, 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?
Transcribed Image Text:Problem 4: A discrete memoryless source produces outputs {a1, a2, az, 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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