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2. Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency F, = 7 Hz and produces at its output a sampled discrete-time signal x,(t) = x(nT,), where T, = 1/F, is the sampling period. The sampled signal is applied to a unity-gain lowpass filter with cutoff frequency of F,/2 to get the signal y(t). Sketch the spectrum (between -2F, and 2F,) of the signals x(t), x,(t) and y(t) and determine the frequency of the signal y(t) for each of the following input signals: %3D (a) x(t) = cos(4nt). %3D (b) x(t) = cos(87t). (c) x(t) = cos(10xt). %3D

2. Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency F, = 7 Hz and produces at its output a sampled discrete-time signal x,(t) = x(nT,), where T, = 1/F, is the sampling period. The sampled signal is applied to a unity-gain lowpass filter with cutoff frequency of F,/2 to get the signal y(t). Sketch the spectrum (between -2F, and 2F,) of the signals x(t), x,(t) and y(t) and determine the frequency of the signal y(t) for each of the following input signals: %3D (a) x(t) = cos(4nt). %3D (b) x(t) = cos(87t). (c) x(t) = cos(10xt). %3D

Introductory Circuit Analysis (13th Edition)
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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2. Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency F, = 7 Hz and produces at its output a sampled discrete-time signal x,(t) = x(nT,), where T, = 1/F, is the sampling period. The sampled signal is applied to a unity-gain lowpass filter with cutoff frequency of F,/2 to get the signal y(t). Sketch the spectrum (between -2F, and 2F,) of the signals x(t), x,(t) and y(t) and determine the frequency of the signal y(t) for each of the following input signals: (a) x(t) = cos(4t t). (b) x(t) = cos(8at). (c) x(t) = cos(10nt).
Transcribed Image Text:2. Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency F, = 7 Hz and produces at its output a sampled discrete-time signal x,(t) = x(nT,), where T, = 1/F, is the sampling period. The sampled signal is applied to a unity-gain lowpass filter with cutoff frequency of F,/2 to get the signal y(t). Sketch the spectrum (between -2F, and 2F,) of the signals x(t), x,(t) and y(t) and determine the frequency of the signal y(t) for each of the following input signals: (a) x(t) = cos(4t t). (b) x(t) = cos(8at). (c) x(t) = cos(10nt).
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