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À signal g(t) band-limited to B Hz is sampled by a periodic pulse train Pr, (t) made up of a rectangular pulse of width 1/8B seconds (centered at the origin) repeating at the Nyquist rate (2B pulses per second). Show that the sampled signal g(t) is given by 1 2 g0-80)+Σ sin () 8() cos ma,f w, = 4x B n-1 Show that the signal g(t) can be recovered by passing (t) through an ideal low-pass filter of bandwidth B Hz and a gain of 4.

À signal g(t) band-limited to B Hz is sampled by a periodic pulse train Pr, (t) made up of a rectangular pulse of width 1/8B seconds (centered at the origin) repeating at the Nyquist rate (2B pulses per second). Show that the sampled signal g(t) is given by 1 2 g0-80)+Σ sin () 8() cos ma,f w, = 4x B n-1 Show that the signal g(t) can be recovered by passing (t) through an ideal low-pass filter of bandwidth B Hz and a gain of 4.

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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Electrical Engineering Dept. Communication Engineering branch y(f) (T/At) 5/4 5/4 5/4 5/4 5/4 5/4 5/4 5/4 -1400 -1300 -800 -700 700 800 1300 1400 filter spectrum Exercise A signal g(t) band-limited to B Hz. is sampled by a periodic pulse train pr, (t) made up of a rectangular pulse of width 1/8B seconds (centered at the origin) repeating at the Nyquist rate (2B pulses per second). Show that the sampled signal g(t) is given by +2 sin () 8(t) cos no,t w, = 4x B Show that the signal g(t) can be recovered by passing (t) through an ideal low-pass filter of bandwidth B Hz and a gain of 4.
Transcribed Image Text:Electrical Engineering Dept. Communication Engineering branch y(f) (T/At) 5/4 5/4 5/4 5/4 5/4 5/4 5/4 5/4 -1400 -1300 -800 -700 700 800 1300 1400 filter spectrum Exercise A signal g(t) band-limited to B Hz. is sampled by a periodic pulse train pr, (t) made up of a rectangular pulse of width 1/8B seconds (centered at the origin) repeating at the Nyquist rate (2B pulses per second). Show that the sampled signal g(t) is given by +2 sin () 8(t) cos no,t w, = 4x B Show that the signal g(t) can be recovered by passing (t) through an ideal low-pass filter of bandwidth B Hz and a gain of 4.
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