F23_4112_HW5

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University Of Connecticut *

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4112

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Mechanical Engineering

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Oct 30, 2023

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ECE 4112, Fall 2019, Homework 5 1 A codebook has four codewords of lengths 1 , 2 , 2 , 3. Is this a possible useful (unambiguous) code- book? 2 A quaternary source with probabilities { 0.75, 0.21, α , 0.04- α } can be compressed to 1 bit per symbol. What is a valid range for α ? 3 c) How are the answers in a) and b) are related? 4 c) Compute the efficiency of the codes obtained in a) and b). 5 The relative frequencies of the first letters of a word in the English language is shown below. To simplify the problem, let us generate a new source with only 16 letters. Keep 15 most frequent letters Group all the other letters into one virtual letter . 1
For the new source with 16 possible outputs, (a) Compute the entropy, (b) construct the Huffman code, and (c) evaluate the coding efficiency. 6 2
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