Re: Lightning and Fourier transform of an impulse

On Aug 14, 9:21 am, Chris Bore <chris.b...@xxxxxxxxx> wrote:

Since we are integrating with respect to time, we have to decide what
period of time we are interested in evaluating. Evaluate your Fourier
transform for that amount of time, and evaluate your receiver's AM
audio output for the same amount of time, by integrating it's output.

By the way, if you evaluate the Fourier integral over a finite period
of time, you find that the signal whose transform you obtained is the
signal during that period of time, repeated ad infinitum - it is not
zero outside the integration time.

In that case, the output of your receiver other than in the instant at
which you sample it is not zero, but is what you sampled repeated ad
infinitum. Or if you've finally realized the need to integrate the
receiver output, the output outside of the inteveral of the
integration is not zero, but a repeate of whatever you integrated.

You can't make a fair comparison unless you apply the same treatment
in both cases.

You can however change the methodology of the transform and the
receiver case by specifying that you will use a window function to
fade in and fade out your data. In that case you know that the signal
outside the period of the integration is effectively zero, because
your window function made it so.
.

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