Sketch the following waveform f(t)=V₁ -t/2stst/2 = 0 otherwise and show that its Fourier transform is ωτ F(0) = 24 sin (7)= Votsine (0) Use this result to sketch a fully labelled graph of the amplitude spectrum of a single square voltage pulse, of amplitude 24V and pulse width 1.4µs, using units of Hz for the frequency axis. (Note: graph paper is not required - a clear, fully-labelled sketch is adequate).
Sketch the following waveform f(t)=V₁ -t/2stst/2 = 0 otherwise and show that its Fourier transform is ωτ F(0) = 24 sin (7)= Votsine (0) Use this result to sketch a fully labelled graph of the amplitude spectrum of a single square voltage pulse, of amplitude 24V and pulse width 1.4µs, using units of Hz for the frequency axis. (Note: graph paper is not required - a clear, fully-labelled sketch is adequate).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Sketch the following waveform
f(t)= Vo
= 0
-t/2≤t≤t/2
otherwise
and show that its Fourier transform is
F (1) 2sin Varsine (
Votsinc
(0)
2
ωτ
Use this result to sketch a fully labelled graph of the amplitude spectrum
of a single square voltage pulse, of amplitude 24V and pulse width 1.4μs,
using units of Hz for the frequency axis. (Note: graph paper is not
required - a clear, fully-labelled sketch is adequate).
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