Impossible sampling theory!

Airy R. Bean · 2004-12-09T15:29:52+00:00

A number of texts suggest that sampling can be modelledby multiplying the incoming waveform by a comb ofDiracian Delta Functions.How can this be?1. The samples that you get are measured in the orderof single volts whereas the Diracian is infinitely tall. Surely,if something of the order of unity were to be multiplied bysomething of the order of infinity, the result wouldbe of the order of infinity?How do you account for the difference? Do you havesome internal mental model where there is an invisible constant,"Big K", perhaps, to account for the difference in scaling?2. The area of the sampled pulse is very much less than unity,the volts being ooo unity and the time being typically ooo usecs.How do you handle this mentally when the area of the Diracianis unity?How do you come to terms with the attributes of your claimed modelbeing orders of magnitude different from the signals of the real world?3. If you are one of those who claim that the sampled signal is a shortspike of zero width, then it is zero-integrable and not analysable byany process involving Laplace Transforms.How do you overcome the problem that your sampled signals arenot representable in the way that you claim?

Dec 09, 2004 46 Replies

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Airy R. Bean 21 years ago

Against whom is the spikeful Old Mother Hen Nugatory-RVMJ-Binaryera venting her spleen on the occasion quoted below? Who do we know who is studying for a PhD and who has thus invited her infantile and obsessive bile?

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Frank Turner-Smith G3VKI 21 years ago

Well it's unlikely to be YOU, Beanie. I doubt you even passed the 11+ ...(_!_)...

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Alan 21 years ago

Who knows? Please cut him a little slack. Let us not forget that the school kids are on holiday. As a noted coward and pedophobe Aero Spike must be feeling awful at this time of year. Do not forget that he was the one who gave us these gems....

'I was afraid to leave my home' 'I was too scared to take leave from work' etc.

A person so cowardly can only really hit back by posting nonsense on the NGs

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Alan 21 years ago

What a very childish response.

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Nimrod 21 years ago

Unheard of for Gareth to post anything helpful.

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ZZZPK 21 years ago

: Unheard of for Gareth to post anything helpful. : :

5.6 on the cluckometer

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Roy Q.T. 21 years ago

you know something could always jump out of a bush and grab us,

With Regards to the post: I have nt been direcly involed in this Area too much but The Theory may be incomplete, the fascinating thing is that it may be a Missing Quantity that if Factored in would allow for sampling at the Stage or Unique Condition you want to Resolve for.

The answer Probably lyes in a provocted (not intentional) Hysterical Stage Linking All Parameters into One, =DF=3D(1)for=83Q, as in a Mildly Ionized Environment., if you can incorporate the above changing =DF to your Fixed variables under the constant Q or charge you might get a sampling through =83, ~ KIds Stuff.

I did: but without using math }:-)

[I basicly use availabe products with the Known Parameters incorporated into them and Test them with all available conditions On, after, I can easily figure out the annomalies]

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