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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?) e) Add sketch of Y3 (k) points on the same plot you used to sketch the magnitude |Y(w)| f) 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?

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?) e) Add sketch of Y3 (k) points on the same plot you used to sketch the magnitude |Y(w)| f) 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?

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Problem 2 Consider the signal n ≤2 y(n) = {0, elsewhere
Transcribed Image Text:Problem 2 Consider the signal n ≤2 y(n) = {0, elsewhere
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?
Transcribed Image Text: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?
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