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Generalized Goertzel algorithm

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Generalized Goertzel algorithm


Pavel Rajmic


16 Feb 2012 (Updated )

Goertzel algorithm generalized to non-integral multiples of fundamental frequency.

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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

Required Products MATLAB
MATLAB release MATLAB 7.10 (R2010a)
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Comments and Ratings (4)
22 Oct 2013 Eric Sampson

Eric Sampson

23 Jun 2013 Peter


very good

05 May 2013 Hakan



22 Mar 2012 Bill Lu

Bill Lu

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

07 Mar 2012

I updated the link to the PDF. Thanks!

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