he signal is to be sampled, what is the minimum sampling frequency w, to intain the signal without distortion? at is the least number of sampling points No such that its DFT can have high ugh resolution to recognize this signal x(t) ? d all rlnl for n = 0 No 1 and also find its DFT X. for k = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 29E
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A CT signal is given by x(t) = (1 + cos(5t)) sin(15t)

 

Please answer all 1,2,3,4 parts

Find its CTFT X (w) = F{x(t)} ;
If the signal is to be sampled, what is the minimum sampling frequency w, to
maintain the signal without distortion?
What is the least number of sampling points No such that its DFT can have high
enough resolution to recognize this signal x(t) ?
Find all x[n] for n =
0, ·.., No – 1, and also find its DFT X for k = 1.
Transcribed Image Text:Find its CTFT X (w) = F{x(t)} ; If the signal is to be sampled, what is the minimum sampling frequency w, to maintain the signal without distortion? What is the least number of sampling points No such that its DFT can have high enough resolution to recognize this signal x(t) ? Find all x[n] for n = 0, ·.., No – 1, and also find its DFT X for k = 1.
A CT signal is given by x(t) = (1+ cos(5t)) sin(15t).
Transcribed Image Text:A CT signal is given by x(t) = (1+ cos(5t)) sin(15t).
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