spectral components in the 2.95 rad/s to 3.05 rad/s band to the same
rectangular pulse. Since the spread of frequency is smaller in this case, it will
take more than 16 s for the interference pattern to manifest. This waveform
also will show waxing and waning when plotted for a larger duration. Also,
note that the peak amplitudes in the two cases are in the same ratio as that of
the frequency bands.
14.3 CONVERGENCE OF FOURIER TRANSFORMS
The Fourier transform of an aperiodic waveform v(t) is given by
(14.3-1)
It may be possible to evaluate this integral for a given v(t), but that does not make
the integral the Fourier transform of v(t). It becomes the ...
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