[mathcad] Re: DSP method

Author: Michael Inggs Posted: Tue, 17 Jan 2006 12:55:04 +0200

Hi

Chris is quite right about the length determining the resolution
possible. Pushing up the sample rate just makes more Fourier space
points available, and results in essentially interpolation of the data
anyway.

There is a whole literature on Superresolution techniques, which
essentially let you extend the time duration of your samples by fitting
a model to the data, and in that way achieving the long sample length
and more sample points. Look for Prony's method, Autoregression, MUSIC
algorithm, and so on. These might be much more appropriate to your need
for higher correlation resolution. Remember, all of these are a trade
off against noise: high noise means bad model...

Regards

Mike

Chris Whitford wrote:
> The Nyquist frequency doesn't limit the accuracy of the phase

--
Michael Inggs: Dept. Electrical Engineering, University of Cape Town
Private Bag, Rondebosch 7701, South Africa
Tel: +27 21 650 2799 Fax: +27 21 650 3465
http://rrsg.ee.uct.ac.za http://rrsg.ee.uct.ac.za/URSI
http://www.ebe.uct.ac.za/~rsaccrs (Cooperative Centre)
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