Question

Problem#6: Determine the DTFT of the following discrete-time signals x[n] = \left(\frac{1}{e}\right)^n \cos(7n) u[n] x[n] = (0.78)^n u[n] Problem#7: Determine the inverse DTFT of the following: $X(\Omega) = \frac{4\cos(\Omega)}{\pi}$ Given that $\cos(\Omega) = \frac{e^{j\Omega} + e^{-j\Omega}}{2}$ $X(\Omega) = e^{-j12\Omega} - \frac{20}{0.4e^{-j\Omega} + 1}$

          Problem#6:
Determine the DTFT of the following discrete-time signals
x[n] = \left(\frac{1}{e}\right)^n \cos(7n) u[n]
x[n] = (0.78)^n u[n]
Problem#7:
Determine the inverse DTFT of the following:
$X(\Omega) = \frac{4\cos(\Omega)}{\pi}$
Given that
$\cos(\Omega) = \frac{e^{j\Omega} + e^{-j\Omega}}{2}$
$X(\Omega) = e^{-j12\Omega} - \frac{20}{0.4e^{-j\Omega} + 1}$

Problem#6:
Determine the DTFT of the following discrete-time signals
x[n] = ((1)/(e))^n cos(7n) u[n]
x[n] = (0.78)^n u[n]
Problem#7:
Determine the inverse DTFT of the following:
X(Ω) = (4cos(Ω))/(π)
Given that
cos(Ω) = (e^jΩ + e^-jΩ)/(2)
X(Ω) = e^-j12Ω - (20)/(0.4e^-jΩ + 1)

Added by Harry F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Dharmendra Maheshwari

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For problem #6, we need to determine the DTFT of the given signals. Show more…

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Problem #6: Determine the DTFT of the following discrete-time signals x[n] = cos(7n)u[n] x[n] = (0.78)^n u[n] Problem #7: Determine the inverse DTFT of the following: 4cos(Ï‰) X(Ï‰) = Ï€ Given that e^(iÏ‰)+e^(-iÏ‰) cos(Ï‰) = 2 X(Ï‰) = e^(-j12Ï‰) 0.4e^(-jÏ‰+1) Scanned with CamScanner