Question

a) Find X(?), the DTFT of x[n] = {1, 2, 4} b) Plot $|X(?)|$ as a function of ? from 0 to $2?$. c) Suppose 4 samples are taken on X(?) from 0 to $2?$ evenly, please find the value of the 4 samples. d) Perform IDFT on the samples taken in c) and compare the result with x[n]. What has been changed?

          a) Find X(?), the DTFT of x[n] = {1, 2, 4}
b) Plot $|X(?)|$ as a function of ? from 0 to $2?$.
c) Suppose 4 samples are taken on X(?) from 0 to $2?$ evenly, please find the value of the 4 samples.
d) Perform IDFT on the samples taken in c) and compare the result with x[n]. What has been changed?

a) Find X(?), the DTFT of x[n] = 1, 2, 4
b) Plot |X(?)| as a function of ? from 0 to 2?.
c) Suppose 4 samples are taken on X(?) from 0 to 2? evenly, please find the value of the 4 samples.
d) Perform IDFT on the samples taken in c) and compare the result with x[n]. What has been changed?

Added by Heather S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/13/2023

Step 1

Step 1: The DTFT of x[n] is given by X(w) = Σ x[n]e^(-jwn), where n ranges from -∞ to ∞. Show more…

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a) Find X(w), the DTFT of x[n] = {1, 2, 4} b) Plot X(w) as a function of w from 0 to 2π. c) Suppose 4 samples are taken on X(w) from 0 to 2π evenly, please find the value of the 4 samples. d) Perform IDFT on the samples taken in c) and compare the result with x[n]. What has been changed?