An analog signal x«(t) = 3 cos 480nt · sin 700nt – 5 sin 1100nt · cos 4180t is to be sampled and converted to a digital signal. What is the Nyquist rate for sampling x.(t)? If x,(t) is sampled at twice the Nyquist rate, what is the resulting discrete-time signal? If xa(t) is sampled at F, = 1000 samples/sec, what is the resulting discrete-time signal? Show that aliasing has occurred in this case. Finally, what would be the reconstructed analog signal if the discrete-time signal is passed thru an ideal D/A conversion.

An analog signal x«(t) = 3 cos 480nt · sin 700nt – 5 sin 1100nt · cos 4180t is to be sampled and converted to a digital signal. What is the Nyquist rate for sampling x.(t)? If x,(t) is sampled at twice the Nyquist rate, what is the resulting discrete-time signal? If xa(t) is sampled at F, = 1000 samples/sec, what is the resulting discrete-time signal? Show that aliasing has occurred in this case. Finally, what would be the reconstructed analog signal if the discrete-time signal is passed thru an ideal D/A conversion.

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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An analog signal xa(t) = 3 cos 480nt · sin 700nt – 5 sin 1100nt · cos 180nt is to be sampled and converted to a digital
signal.
What is the Nyquist rate for sampling xa(t)? If xa(t) is sampled at twice the Nyquist rate, what is the resulting discrete-time
signal?
If xa(t) is sampled at F, = 1000 samples/sec, what is the resulting discrete-time signal? Show that aliasing has occurred in this
case. Finally, what would be the reconstructed analog signal if the discrete-time signal is passed thru an ideal D/A conversion.

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