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Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
all the sinusoids in that band and add them up – remember that it is a complex
addition. Since there are infinite components in Δ
ω
, the sum of infinitesimal
amplitudes need not be an infinitesimal. Now, divide the sum by Δ
ω
. We get
a quantity that has the dimensions of volt per rad/sec (assuming an aperiodic
voltage waveform). Repeat the process with a smaller Δ
ω
around the same
ω
. We will observe that the ratio – which is the density of spectral amplitudes
at and around
ω
– approaches a limit as we reduce Δ
ω
to zero. Fourier
transform value at
ω
is this limiting density of spectral amplitudes multiplied
by 2
π
. Hence, Fourier transform is a spectral amplitude ...
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Publisher Resources

ISBN: 9781299447028