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3. Consider the signal f(t) with spectrum F(w) = e = ³|w| This signal will be sampled at a rate of Fs samples/second, and since the signal is not bandlimited, we will precede the sampler with an anti-aliasing filter having cutoff frequency Hz (or TF, rad/sec). We will then reconstruct the samples using an ideal sinc interpolator. f(t) anti- aliasing filter g(t) sampling g(t) ideal interpolation y(t)

3. Consider the signal f(t) with spectrum F(w) = e = ³|w| This signal will be sampled at a rate of Fs samples/second, and since the signal is not bandlimited, we will precede the sampler with an anti-aliasing filter having cutoff frequency Hz (or TF, rad/sec). We will then reconstruct the samples using an ideal sinc interpolator. f(t) anti- aliasing filter g(t) sampling g(t) ideal interpolation y(t)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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3. Consider the signal f(t) with spectrum F(w) = e =³|w|. This signal will be sampled at a rate of Fs samples/second, and since the signal is not bandlimited, we will precede the sampler with an anti-aliasing filter having cutoff frequency Hz (or TF, rad/sec). We will then reconstruct the samples using an ideal sinc interpolator. f(t). anti- g(t) aliasing filter sampling g(t) ideal interpolation y(t) We want to ensure that the reconstructed signal y(t) approximates the original signal f(t) up to a certain accuracy. In particular, defining z(t) = y(t) = f(t), we would like the energy Ez of the error signal to be only 1% of the energy Ef of the original signal. What sampling frequency F, should we choose?
Transcribed Image Text:3. Consider the signal f(t) with spectrum F(w) = e =³|w|. This signal will be sampled at a rate of Fs samples/second, and since the signal is not bandlimited, we will precede the sampler with an anti-aliasing filter having cutoff frequency Hz (or TF, rad/sec). We will then reconstruct the samples using an ideal sinc interpolator. f(t). anti- g(t) aliasing filter sampling g(t) ideal interpolation y(t) We want to ensure that the reconstructed signal y(t) approximates the original signal f(t) up to a certain accuracy. In particular, defining z(t) = y(t) = f(t), we would like the energy Ez of the error signal to be only 1% of the energy Ef of the original signal. What sampling frequency F, should we choose?
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