Article View: comp.dsp
Article #1274Re: Delayed signals
From: Mattias Bryntesson
Date: Mon, 28 Sep 1992 11:36
Date: Mon, 28 Sep 1992 11:36
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1243 bytes
In article <SINKKONE.92Sep25152003@klaava.Helsinki.FI> sinkkone@klaava.Helsinki.FI (Janne Sinkkonen) writes:
>
>Our goal is to estimate the values of a smooth, evenly sampled
>function x(t) between samples, i.e. at points x(t+r), where r is a
>real number (let's assume sampling was done at points t=0,1,2,..,N-1).
>
Sounds like an interpolation, and should be obtained by convolution with
sinc(x) := (sin (pi*x) ) / (pi*x). With this notation
x(t+r) = sum [ x(k)*sinc(k+r) ]
k= ..., t-1, t, t+1, ...
where you should sum over all samples (=enough samples around your point).
I've got a book by Bracewell that covers this and a lot of other
Fourier stuff. I think it's called "The Fourier Transform and its
Applications".
Mattias
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sunic!chalmers.se!etek.chalmers.se!fy.chalmers.se!f88mattb From: f88mattb@fy.chalmers.se (Mattias Bryntesson) Newsgroups: comp.dsp,sci.math.num-analysis Subject: Re: Delayed signals Message-ID: <1992Sep28.113605.21411@fy.chalmers.se> Date: 28 Sep 92 11:36:05 GMT References: <SINKKONE.92Sep25152003@klaava.Helsinki.FI> Distribution: comp Organization: Chalmers University of Technology, G|teborg, Sweden Lines: 20