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Generalized Goertzel algorithm

version 1.1.0.0 (3.14 KB) by Pavel Rajmic
Goertzel algorithm generalized to non-integral multiples of fundamental frequency.

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Updated 07 Mar 2012

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The conventional Goertzel Algorithm can be used to compute individual DFT coefficients. In case we need to compute some values of DTFT (that means, non-integer multiples of the fundamental frequency), slight modification must be done.

There are two files: the conventional and generalized Goertzel algorithm. No toolboxes needed.

The algorithm and its derivation is described in the article accesible at
http://asp.eurasipjournals.com/content/pdf/1687-6180-2012-56.pdf

Comments and Ratings (6)

Hi, Does it take of windowing the data to reduce spectral leakage?

Hi Pavel Rajmic,

Nice code. I want this for n-dimensions. Is there a way to extend this code to multiple, or general n-dimensions. I am extremely interested in this, and would be very helpful for my application, if it can be extended to n-dimensions.

Regards
Rajesh

Peter

very good

Hakan

good

Bill Lu

very useful for detecting frequencies that are not integer multiples of 1/N

Updates

1.1.0.0

I updated the link to the PDF. Thanks!

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
Windows macOS Linux