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Peak Interpolation

17 Jun 2009

Code covered by the BSD License

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

File Information
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)
Zip File Content
Other Files	license.txt, peak_interp_0_01/crit_interp_g.m, peak_interp_0_01/crit_interp_p.m, peak_interp_0_01/example1.m, peak_interp_0_01/example2.m

Tags for This File
Everyone's Tags	communications, dsp, gaussian, interpolation(2), mathematics, measurement, optimization, parabola, peak interpolation, radar, signal processing
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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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