Q3/ A continuous-time signal x(t) = 8cos (200nt). Determine:i)Minimum sampling rate (i.e., Nyquist rate required to avoid aliasing).If sampling frequency fs= 400HZ. What is the discrete-time signal x(n) or x(nT;)obtained after sampling?If sampling frequency f= 150Hz. What is the discrete-time signal x(n) or x(nT,)obtained after sampling?ii)iii)iv)What is the frequency 0 < f < fs/2 of sinusoidal that yields samples identical tothose obtained in part (iii)?2πηans. (i) fs= 200HZ, (ii) x[n] = 8cos(iii) x[n] = 8cos(iv) f= 100 Hz

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/ A continuous-time signal x(t) = 8cos (200nt). %3D

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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Question

Q3/ A continuous-time signal x(t) = 8cos (200nt). Determine:
i)
Minimum sampling rate (i.e., Nyquist rate required to avoid aliasing).
If sampling frequency fs= 400HZ. What is the discrete-time signal x(n) or x(nT;)
obtained after sampling?
If sampling frequency f= 150Hz. What is the discrete-time signal x(n) or x(nT,)
obtained after sampling?
ii)
iii)
iv)
What is the frequency 0 < f < fs/2 of sinusoidal that yields samples identical to
those obtained in part (iii)?
2πη
ans. (i) fs= 200HZ, (ii) x[n] = 8cos
(iii) x[n] = 8cos
(iv) f= 100 Hz

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