Time Shifting MCQ Quiz in தமிழ் - Objective Question with Answer for Time Shifting - இலவச PDF ஐப் பதிவிறக்கவும்
Last updated on Mar 30, 2025
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Time Shifting Question 1:
Let x(t)<-> X(jω) be Fourier Transform pair. The Fourier Transform of the signal x(5t-3) in terms of X(jω) is given as
Answer (Detailed Solution Below)
\( \frac{1}{5}{e^{ - \frac{{j3\omega }}{5}}}X\left( {\frac{{j\omega }}{5}} \right)\)
Time Shifting Question 1 Detailed Solution
using the properties of fourier transform
Time shift x(t) --> X(jw) x(t-to) --> x(jw)
Time scaling x(t) --> X(jw) x(at) --> \( \frac{1}{a}x\left( {j\frac{w}{a}} \right)\)
We get \( x\left( {5t - 3} \right)\frac{1}{5}{e^{ - j\frac{{3w}}{5}}}x\left( {\frac{{jw}}{5}} \right)\)