1. Let x n be a message with iid symbols, a quaternary alphabet and the following PMD a) Find a…

1. Let xn be a message with iid symbols, a quaternary alphabet and the following PMD

a) Find a binary Huffman code with single symbols xn as input and calculate its efficiency.

b) Find the efficiency of a ternary Shannon–Fano code with pairs x = [xn, xn+1] as input.

2. A stationary message {xn} with iid symbols and alphabet Ax = {0, 1, 2} has PMD

a) Construct a binary prefix code y with Ay = {0, 1} that is optimal for coding single symbols of x. Evaluate the code efficiency.

b) Consider the vector made of two consecutive symbols taken from {xn} and find a binary code that is optimal for xm. Compare the efficiencies ηy and ηy .

 

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