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5) Consider the sampling system at the right. The input signal xe(t) has the Fourier transform shown in the figure below with no = 2π(1000) radians/second. The discrete-time system is an ideal lowpass filter with frequency response H(el) = {0, otherwise. {1₁ wc a. What is the minimum sampling rate F, = 1/T such that no aliasing occurs in sampling the input signal. b. If we = π/2, what is the minimum sampling rate such that yr(t) = xc(t)? X (1) C/D ↑ T Discrete-time system x[n] D/C ↑ T |x(jn) y[n] 220 13 (0 22

5) Consider the sampling system at the right. The input signal xe(t) has the Fourier transform shown in the figure below with no = 2π(1000) radians/second. The discrete-time system is an ideal lowpass filter with frequency response H(el) = {0, otherwise. {1₁ wc a. What is the minimum sampling rate F, = 1/T such that no aliasing occurs in sampling the input signal. b. If we = π/2, what is the minimum sampling rate such that yr(t) = xc(t)? X (1) C/D ↑ T Discrete-time system x[n] D/C ↑ T |x(jn) y[n] 220 13 (0 22

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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5) Consider the sampling system at the right. The input signal xc(t) has the Fourier transform shown in the figure below with no = 2π(1000) radians/second. The discrete-time system is an ideal lowpass filter with frequency response |w| <wc H(ej) = {0, otherwise. (1, a. What is the minimum sampling rate F = 1/T such that no aliasing occurs in xc (1) + C/D T x[n] sampling the input signal. b. If wc = π/2, what is the minimum sampling rate such that y, (t) = Xc (t)? Discrete-time system y[n] -20 1 D/C T x(jn) Do [Yr (1) Ω
Transcribed Image Text:5) Consider the sampling system at the right. The input signal xc(t) has the Fourier transform shown in the figure below with no = 2π(1000) radians/second. The discrete-time system is an ideal lowpass filter with frequency response |w| <wc H(ej) = {0, otherwise. (1, a. What is the minimum sampling rate F = 1/T such that no aliasing occurs in xc (1) + C/D T x[n] sampling the input signal. b. If wc = π/2, what is the minimum sampling rate such that y, (t) = Xc (t)? Discrete-time system y[n] -20 1 D/C T x(jn) Do [Yr (1) Ω
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