For purposes of efficient signal encoding, a given speech signal is subject to a companding operation. The μ-law companding used in commercial telephony in North America is given byWhere μ 100, x is the input signal value and y is the output signal value. Assume that the input is in the range of 0 x 5 and that all values are equally likely. 2.7 For purposes of efficient signal encoding, a given speech signal is subject to acompanding operation. The u-law companding used in commercial telephonyin North America is given bylog(1+ ula})log(1+ u)where u z 100, x is the input signal value and y is the output signal value.Consider that the input is in the range of 0 < x < 5.(a) Draw the sample spaces that could be used to represent events involvingthe input and the output signals.(b) What is the probability that the output value is less than 1?(c) Find these probabilities: Pr[ s¢< 1] and Pr

Answered: 2.7 For purposes of efficient signal…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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For purposes of efficient signal encoding, a given speech signal is subject to a companding operation. The μ-law companding used in commercial telephony in North America is given by

Where μ 100, x is the input signal value and y is the output signal value. Assume that the input is in the range of 0 x 5 and that all values are equally likely.

2.7 For purposes of efficient signal encoding, a given speech signal is subject to a
companding operation. The u-law companding used in commercial telephony
in North America is given by
log(1+ ula})
log(1+ u)
where u z 100, x is the input signal value and y is the output signal value.
Consider that the input is in the range of 0 < x < 5.
(a) Draw the sample spaces that could be used to represent events involving
the input and the output signals.
(b) What is the probability that the output value is less than 1?
(c) Find these probabilities: Pr[ s¢< 1] and Pr <ys 1].

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