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A certain channel has ideal amplitude, but nonideal phase response, given by |H(f)| = 1 Oh(f)=-2лftα- k sin 2лft₁ |k| << 1 (a) Show that y(t), the channel response to an input pulse g(t) band-limited to B Hz, is y(t) = g(t − to) + k g(t-to-t1)g(t− to+t1)] Hint: Use approximation e¯jk sin 2лft₁ ≈1 − jk sin 2лft₁ for |k| << 1. (b) Discuss whether and how this channel will cause mutual interference for two different signals that were transmitted to occupy non-overlapping frequency bands (in what is known as frequency-division multiplexing).

A certain channel has ideal amplitude, but nonideal phase response, given by |H(f)| = 1 Oh(f)=-2лftα- k sin 2лft₁ |k| << 1 (a) Show that y(t), the channel response to an input pulse g(t) band-limited to B Hz, is y(t) = g(t − to) + k g(t-to-t1)g(t− to+t1)] Hint: Use approximation e¯jk sin 2лft₁ ≈1 − jk sin 2лft₁ for |k| << 1. (b) Discuss whether and how this channel will cause mutual interference for two different signals that were transmitted to occupy non-overlapping frequency bands (in what is known as frequency-division multiplexing).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A certain channel has ideal amplitude, but nonideal phase response, given by |H(f)| = 1 Oh(f)=-2лftα- k sin 2лft₁ |k| << 1 (a) Show that y(t), the channel response to an input pulse g(t) band-limited to B Hz, is y(t) = g(t − to) + k g(t-to-t1)g(t− to+t1)] Hint: Use approximation e¯jk sin 2лft₁ ≈1 − jk sin 2лft₁ for |k| << 1. (b) Discuss whether and how this channel will cause mutual interference for two different signals that were transmitted to occupy non-overlapping frequency bands (in what is known as frequency-division multiplexing).
Transcribed Image Text:A certain channel has ideal amplitude, but nonideal phase response, given by |H(f)| = 1 Oh(f)=-2лftα- k sin 2лft₁ |k| << 1 (a) Show that y(t), the channel response to an input pulse g(t) band-limited to B Hz, is y(t) = g(t − to) + k g(t-to-t1)g(t− to+t1)] Hint: Use approximation e¯jk sin 2лft₁ ≈1 − jk sin 2лft₁ for |k| << 1. (b) Discuss whether and how this channel will cause mutual interference for two different signals that were transmitted to occupy non-overlapping frequency bands (in what is known as frequency-division multiplexing).
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