Re: Impossible sampling theory!

From: Tim Wescott (tim_at_wescottnospamdesign.com)
Date: 12/09/04 

Date: Thu, 09 Dec 2004 15:11:54 -0800

David C. Ullrich wrote:

> On Thu, 09 Dec 2004 10:11:07 -0700, Kevin Neilson
> <kevin_neilson@removethiscomcast.net> wrote:
>
>
>>Airy R. Bean wrote:
>>
>>>A number of texts suggest that sampling can be modelled
>>>by multiplying the incoming waveform by a comb of
>>>Diracian Delta Functions.
>>>
>>>How can this be?
>>>
>>>1. The samples that you get are measured in the order
>>>of single volts whereas the Diracian is infinitely tall. Surely,
>>>if something of the order of unity were to be multiplied by
>>>something of the order of infinity, the result would
>>>be of the order of infinity?
>>>
>>
>>One of my professors implied that the Dirac delta wasn't mathematically
>>rigorous but provides correct results so it's used nonetheless.
>
>
> There's no problem with the mathematics involved in the delta
> function. You don't see the actual math in typical undergraduate
> courses - the exposition in a typical differential equations
> book is certainly far from rigorous. That's just because the
> rigorous explanation is not going to be accessible to that
> audience, not a problem with the delta function itself.
>
>
> ************************
>
> David C. Ullrich

Can you recommend a good website or book? 

-- 
Tim Wescott
Wescott Design Services
http://www.wescottdesign.com

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