We sample the signal x(t)=cos(10t) where t is the time in seconds, using an impulse train p(t) with a period of 0.2 seconds. (a) Are the conditions of the sampling theorem satisfied? (b) Plot the Fourier transform X„(jm) of the signal xp(t)=x(t)p(t). (c) We then pass Xp(t) through an ideal bandpass filter with center frequency 10 Hz and a bandwidth of 2 Hz to produce a signal called x,(t). Is x.(1) a perfect reconstruction of x(t) or not? Explain why your answer makes sense.
We sample the signal x(t)=cos(10t) where t is the time in seconds, using an impulse train p(t) with a period of 0.2 seconds. (a) Are the conditions of the sampling theorem satisfied? (b) Plot the Fourier transform X„(jm) of the signal xp(t)=x(t)p(t). (c) We then pass Xp(t) through an ideal bandpass filter with center frequency 10 Hz and a bandwidth of 2 Hz to produce a signal called x,(t). Is x.(1) a perfect reconstruction of x(t) or not? Explain why your answer makes sense.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![We sample the signal x(?)=cos(10rt) where t is the time in seconds, using an impulse train p()
with a period of 0.2 seconds.
(a) Are the conditions of the sampling theorem satisfied?
(b) Plot the Fourier transform X,(jo) of the signal x,(t)=x(1)p(t1).
(c) We then pass xp(t) through an ideal bandpass filter with center frequency 10 Hz and a
bandwidth of 2 Hz to produce a signal called x,(t). Is x.(t) a perfect reconstruction of x(t)
or not? Explain why your answer makes sense.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff32f919b-4bdb-4683-a890-b49afbae88de%2F81da9a79-91d6-443f-a532-697d097c8bee%2Fwlejrcp_processed.png&w=3840&q=75)
Transcribed Image Text:We sample the signal x(?)=cos(10rt) where t is the time in seconds, using an impulse train p()
with a period of 0.2 seconds.
(a) Are the conditions of the sampling theorem satisfied?
(b) Plot the Fourier transform X,(jo) of the signal x,(t)=x(1)p(t1).
(c) We then pass xp(t) through an ideal bandpass filter with center frequency 10 Hz and a
bandwidth of 2 Hz to produce a signal called x,(t). Is x.(t) a perfect reconstruction of x(t)
or not? Explain why your answer makes sense.
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