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
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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).
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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