Deriving input-output relationship

  • Thread starter jayki
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  • #1
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hi frenz

i want to how to derive mathematical relation between dependent(output) and independent(input) variables when i know the relation between them at few samples.
cud someone help me out?
thanks in advance
 

Answers and Replies

  • #2
olgranpappy
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do you know anything about the functional form? even roughly how it should look? if not then there is no way to extrapolate from a few points to every point.
 
  • #3
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do you know anything about the functional form? even roughly how it should look? if not then there is no way to extrapolate from a few points to every point.
as i told , i know the relation between them at few samples. but i want to generalise as a mathematical relation between them
 
  • #4
robphy
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as i told , i know the relation between them at few samples. but i want to generalise as a mathematical relation between them
As olgranpappy says, you can't in general... without at least having a guess to the general form. Given a finite number of samples, you can fit it to a polynomial of sufficiently high degree. However, that polynomial is probably not what you are looking for.

http://en.wikipedia.org/wiki/Curve_fitting
In addition, note the diagrams in
http://slack.net/~ant/bl-synth/3.nyquist.html
 
  • #5
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thanks for ur response dear frenz............but let me clear my question again. I have a vector(x) and a vector(y) with the value of x at few points and corresponding value of y. I want to generalize the relation between them with that given samples.
 

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