Problem 10-1 Consider the signal x(t) = 8 cos(2π(30)t +π/3). (a) Sketch the spectrum of the signal x(t). Show the spectrum as a function of f in Hz. For the rest of this problem, assume that the signal is sampled at a rate of fs = 50 Hz. (b) Sketch the spectrum for the sampled signal x[n]. Your spectrum should be shown as a function of the frequency ŵ over the interval -2π ≤ŵ≤ +2π. (c) Write an equation for the sampled signal x[n]. (d) Suppose that the signal is reconstructed from its samples using ideal reconstruction, i.e., it passes through an ideal D/C converter. Sketch the spectrum of the reconstructed signal x, (t) as a function of f in Hz. (e) Write an equation for the reconstructed signal x,(t). Is x(t) = x(t)? Why or why not?

Problem 10-1 Consider the signal x(t) = 8 cos(2π(30)t +π/3). (a) Sketch the spectrum of the signal x(t). Show the spectrum as a function of f in Hz. For the rest of this problem, assume that the signal is sampled at a rate of fs = 50 Hz. (b) Sketch the spectrum for the sampled signal x[n]. Your spectrum should be shown as a function of the frequency ŵ over the interval -2π ≤ŵ≤ +2π. (c) Write an equation for the sampled signal x[n]. (d) Suppose that the signal is reconstructed from its samples using ideal reconstruction, i.e., it passes through an ideal D/C converter. Sketch the spectrum of the reconstructed signal x, (t) as a function of f in Hz. (e) Write an equation for the reconstructed signal x,(t). Is x(t) = x(t)? Why or why not?

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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