d) For each fixed integer l, we can apply Huffman's method to encode average realization of (xnl+1, Xnl+2, · , xnl+n) where n is another integer. The average codeword length of the resulting codebook is denoted by Ln. What is the limit of Ln/n as n → ∞? Is this codebook for xnl+1, Xnl+2, ** * ,Xnl+n dependent on l? Why?
d) For each fixed integer l, we can apply Huffman's method to encode average realization of (xnl+1, Xnl+2, · , xnl+n) where n is another integer. The average codeword length of the resulting codebook is denoted by Ln. What is the limit of Ln/n as n → ∞? Is this codebook for xnl+1, Xnl+2, ** * ,Xnl+n dependent on l? Why?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:1) Consider a memoryless discrete-time source which emits a sequence of random elements
X1, X2,
,Xk,··, where xk for each integer k can be any of a1, a2, a3 and a4. Assume
•',
that Prob(xk = a1) = 0.01, Prob(Xk = a2)
0.1 and Prob(xk
a3) = 0.3. Answer the
following questions:
d) For each fixed integer l, we can apply Huffman's method to encode average realization
of (Tnl+1, Xnl+2, · ·· , Xnl+n) where n is another integer. The average codeword length
of the resulting codebook is denoted by Ln. What is the limit of Ln/n as n → 0?
Is this codebook for xnl+1, Xnl+2,
, X'nl+n dependent on l? Why?
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