a) By using radix2 DIT FFT, find the DFT of the sequence x(n)={1, 1.5, 0.5, 2). Sketch the system. b) Determine the inverse DTFT of the following function H [9] = +2 + 2 cos 2 + 3 cos( 252 )] sin( 20-2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 64E
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a) By using radix2 DIT_FFT, find the DFT of the sequence x(n)={1, 1.5, 0.5, 2).
Sketch the system.
b) Determine the inverse DTFT of the following function
H[Ω] = j[
+
+ 2 cos 2 +
3
2.02 )]
sin(e
cos( 22 )] sin(
Transcribed Image Text:a) By using radix2 DIT_FFT, find the DFT of the sequence x(n)={1, 1.5, 0.5, 2). Sketch the system. b) Determine the inverse DTFT of the following function H[Ω] = j[ + + 2 cos 2 + 3 2.02 )] sin(e cos( 22 )] sin(
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