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)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a235d19-e860-4225-ac74-3ad054c2683a%2F4b13dd4a-92a0-46e9-aeb6-dfa361c22a10%2F20ylz4e_processed.jpeg&w=3840&q=75)
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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