Question

Let $x[n] = [1, 1, 1] * [4, 2, 4]$, where $*$ denotes convolution. (a) Find the DTFT $X(e^{j\Omega})$ (b) From $X(e^{j\Omega})$, find the inverse DTFT $x[n]$.

          Let $x[n] = [1, 1, 1] * [4, 2, 4]$, where $*$ denotes convolution.
(a) Find the DTFT $X(e^{j\Omega})$
(b) From $X(e^{j\Omega})$, find the inverse DTFT $x[n]$.

Let x[n] = [1, 1, 1] * [4, 2, 4], where * denotes convolution.
(a) Find the DTFT X(e^jΩ)
(b) From X(e^jΩ), find the inverse DTFT x[n].

Added by Emily A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

12/08/2022

Step 1

Step 1: To find the convolution of x[n], we can use the formula for discrete convolution: y[n] = x[n] * h[n] = Σ x[k] * h[n-k] Show more…

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Please show all the work. Let x[n] = [1, 11] * [4, 24] where * denotes convolution. (a) Find the DTFT Xc (b) From Xc, find the inverse DTFT [n]

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Question

Let $x[n] = [1, 1, 1] * [4, 2, 4]$, where $*$ denotes convolution. (a) Find the DTFT $X(e^{j\Omega})$ (b) From $X(e^{j\Omega})$, find the inverse DTFT $x[n]$.

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