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Unformatted text preview: 6.450 Principles of Digital Communication Wednesday, Sept. 4, 2002 MIT, Fall 2002 Handout #4 Due: Wednesday, Sept. 11 Problem Set 1 Problem 1.1 Lecture 1 pointed out that voice waveforms could be converted to binary data by sampling at 8000 times per second and quantizing to 8 bits per sample, yielding 64kb/s. It then said that modern speech coders can yield telephone-quality speech at 6-16 kb/s. If your objective were simply to reproduce the words in speech recognizably without concern for speaker recognition, intonation, etc., make an estimate of how many kb/s would be required. Explain your reasoning. (Note: There is clearly no correct answer here; the question is too vague for that. The point of the question is to get used to questioning objectives and approaches.) Problem 1.2 Let V and W be discrete random variables defined on some probability space with a joint pmf p V W ( v,w ), (a) Prove that E [ V + W ] = E [ V ] + E [ W ]. Do not assume independence....
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This note was uploaded on 10/07/2009 for the course ENSC 5210 taught by Professor Daniellee during the Spring '08 term at Simon Fraser.
- Spring '08