hw3 - EE595A Introduction to Information Theory Winter 2004...

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EE595A Introduction to Information Theory University of Washington Winter 2004 Dept. of Electrical Engineering Handout 5: Problem Set 3: (due Fri. Feb 27th by 4:30pm) Prof: Jeff A. Bilmes <bilmes@ee.washington.edu> Lecture 10, Feb 18, 2004 Book Problems Problem 1: a Define the geometric mean. b Why is the geometric mean called the geometric mean? c What is similar about the geometric mean and entropy? Problem 2: a Encode the string 001010010101010010101010101001010101 using the basic Lempel-Ziv algorithm we described in class. b Encode the string 1100011011111000000010010111100110000111 using the basic Lempel-Ziv algorithm we de- scribed in class. c Can you characterize the difference between these two strings? Did you notice this difference immediately when you first glanced at them? Why or why not? Problem 3: You’ve discovered a random number generator that generates random strings of bits M 1: n ( M i ∈ { 0 , 1 } ) for any n . Each such bit string corresponds to sampled music recordings (one sample might be Miles Davis or John Coltrane,
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hw3 - EE595A Introduction to Information Theory Winter 2004...

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