For the following function: f(t) = 5+2 cos(2πt - 90) + 3cos4πt Let us sample the signal f (t) at 4 times per second (f = 4 Hz) for (t = 0 →³). The value of discrete samples are given by: f(k) = 5 + 2 cos(k − 90) + 3cosnk

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For the following function:
f (t) = 5 + 2 cos(2nt – 90) + 3cos4nt
-
Let us sample the signal f(t) at 4 times per second (f , = 4 Hz) for (t = 0 → →).
S
The value of discrete samples are given by:
f(k) = 5 + 2 cos (k – 90) + 3cosrk
%3D
k
Where t = kT,
4
%D
Compute the discrete Fourier transform
Transcribed Image Text:For the following function: f (t) = 5 + 2 cos(2nt – 90) + 3cos4nt - Let us sample the signal f(t) at 4 times per second (f , = 4 Hz) for (t = 0 → →). S The value of discrete samples are given by: f(k) = 5 + 2 cos (k – 90) + 3cosrk %3D k Where t = kT, 4 %D Compute the discrete Fourier transform
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