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Peak Interpolation

by Travis Wiens

 

17 Jun 2009

Estimates the location and magnitude of the peak of a continuous function between samples.

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Description

Sometimes it is important to be able to estimate the peak of a sampled continuous function between the samples. This is called subsample peak interpolation and is used in radar, delay estimation, and communication. Typically one fits a model to the sampled data and then finds the maximum of the model. Two models that I have used are parabolas and Gaussian curves. Both have three parameters and can be fit exactly to three samples (even if the samples are not evenly spaced), and, as a bonus, closed form solutions exist for parameters. This package to demonstrate this procedure, including two examples. One demonstrates finding the peak of a function with unevenly spaced samples. The other shows an example of delay estimation to subsample accuracy.

MATLAB release MATLAB 7.4 (R2007a)
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Comments and Ratings (1)
26 Feb 2010 Tolga Ozkurt

this is a great to code for the detection of a peak and its width.

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Tag Activity for this File
Tag Applied By Date/Time
communications Travis Wiens 18 Jun 2009 09:48:12
mathematics Travis Wiens 18 Jun 2009 09:48:12
measurement Travis Wiens 18 Jun 2009 09:48:12
optimization Travis Wiens 18 Jun 2009 09:48:12
signal processing Travis Wiens 18 Jun 2009 09:48:12
dsp Travis Wiens 18 Jun 2009 09:48:12
peak interpolation Travis Wiens 18 Jun 2009 09:48:12
interpolation Travis Wiens 18 Jun 2009 09:48:13
radar Travis Wiens 18 Jun 2009 09:48:13
gaussian Travis Wiens 18 Jun 2009 09:48:13
parabola Travis Wiens 18 Jun 2009 09:48:13
interpolation Siro 15 Sep 2009 15:05:46

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