Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Oct-2001 - Nov-2016

Category > Management Posted 25 Mar 2018 My Price 6.00

Shannon code

Shannon code. Consider the following method for generating a code for a random variable X that takes on m values {1, 2,...,m} with probabilities p1, p2,...,pm. Assume that the probabilities are ordered so that p1 ≥ p2 ≥···≥ pm. Define

the sum of the probabilities of all symbols less than i. Then the code word for i is the number Fi ∈ [0, 1] rounded off to li bits, where

(a) Show that the code constructed by this process is prefix-free and that the average length satisfies

H (X) ≤ L

(b) Construct the code for the probability distribution (0.5, 0.25, 0.125, 0.125).

 

Answers

Maurice Tutor
(5)
Status NEW Posted 25 Mar 2018 05:03 AM My Price 6.00

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