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D, E, and F only please

D, E, and F only please

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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D, E, and F only please
Problem 2 Consider the signal ≤ n ≤2 y(n) = {0, elsewhere a) Compute the DTFT of the signal i.e. Y(w). Find and simplify expressions for magnitude and phase of Y(w). Roughly sketch the magnitude |Y(w)| b) Compute the 3 point DFT of the signal y(n) i.e.. Y3 (k), k = 0,1,2. c) What discrete angular frequencies correspond to points k=0,1,2 for the 3-point DFT? d) Explain how/why Y3 (k) resembles a delta impulse in frequency domain (what does the periodic extension of y(n) look like for N=3?) f) e) Add sketch of Y3 (k) points on the same plot you used to sketch the magnitude |Y(w)| Compute the 6 point DFT of the signal y(n) i.e.. Y6(k), k = 0, ...,5 ? How much zero-padding samples do you need to add? g) What discrete angular frequencies correspond to points k=0,..5 for the 6-point DFT? h) Add sketch of Y6(k) points on the same plot you used to sketch the magnitude |Y(w)| i) Compare the 6-point DFT with the 3-point DFT ... are there any points k for the 2 DFTS that have the same value(s)? Provide an interpretation ... j) Is there a change in the underlying DTFT of the signal y(n) when you add zero-padding? k) What would happen to the N-point DFT of y(n) if you extend N to infinity? Explain briefly
Transcribed Image Text:Problem 2 Consider the signal ≤ n ≤2 y(n) = {0, elsewhere a) Compute the DTFT of the signal i.e. Y(w). Find and simplify expressions for magnitude and phase of Y(w). Roughly sketch the magnitude |Y(w)| b) Compute the 3 point DFT of the signal y(n) i.e.. Y3 (k), k = 0,1,2. c) What discrete angular frequencies correspond to points k=0,1,2 for the 3-point DFT? d) Explain how/why Y3 (k) resembles a delta impulse in frequency domain (what does the periodic extension of y(n) look like for N=3?) f) e) Add sketch of Y3 (k) points on the same plot you used to sketch the magnitude |Y(w)| Compute the 6 point DFT of the signal y(n) i.e.. Y6(k), k = 0, ...,5 ? How much zero-padding samples do you need to add? g) What discrete angular frequencies correspond to points k=0,..5 for the 6-point DFT? h) Add sketch of Y6(k) points on the same plot you used to sketch the magnitude |Y(w)| i) Compare the 6-point DFT with the 3-point DFT ... are there any points k for the 2 DFTS that have the same value(s)? Provide an interpretation ... j) Is there a change in the underlying DTFT of the signal y(n) when you add zero-padding? k) What would happen to the N-point DFT of y(n) if you extend N to infinity? Explain briefly
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