Re: A FAQ for Xmas

Folks

> In our sampling, we take an infinitesimally small width but
> only an amplitude which is of the order of the analogue signal,
> and therefore the volt/time product of this is zero and it is zero
> integrable using the calculus. The volt/time product is an
> infinite number of orders of magnitude less than unity, so would you
> justify claiming that
> it is a scaled Unit Impulse?

Maybe I'm being way to simplistic here, but isn't this just a basic calculus
issue? Although t tends to zero, v tends to infinity. With only these two
terms you are left without a full definition: you need to state that v*t
tends to 1 as t tends to zero. This limit is part of the definition of the
Dirac Delta function. They teach the introductory calculus concept of limits
at school at about the age of 16.

Although it is an abstract concept in that we can never physically attain
infinite amplitude with zero width, as we approach closer and closer to that
experimentally, we can see that the unit impulse model fits closer and
closer.

If there is another method you'd prefer to use, then I am sure that's fine,
and I'm sure it would be very useful and interesting to compare your method
and results with the current more generally accepted perceived wisdom.

Cheers, Howard


.

Relevant Pages

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