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Extracts frequencies and decay rates from a time series

Harminv is a program (and accompanying library) to solve the problem of harmonic inversion. Given a discrete-time, finite-length signal that consists of a sum of finitely-many sinusoids (possibly exponentially decaying) in a given bandwidth, it determines the frequencies, decay constants, amplitudes, and phases of those sinusoids. Harminv can, in principle, provide much better accuracy than straightforwardly extracting FFT peaks because it assumes a specific form for the signal. (Fourier transforms, in contrast, attempt to represent *any* data as a sum of sinusoidal components.) It is also often more robust than directly least-squares fitting the data (which can have problematic convergence). Harminv employs the "filter diagonalization method" (FDM) of Mandelshtam and Taylor.


User manpage available in HTML format from http://ab-initio.mit.edu/harminv/harminv-man.html



Verified by

Verified on


Verified by

Janet Casey

Verified on

18 May 2004

Leaders and contributors

Steven G. Johnson Maintainer

Resources and communication

AudienceResource typeURI
Bug Tracking,Developer,SupportE-mailmailto:stevenj@alum.mit.edu
Debian (Ref)https://tracker.debian.org/pkg/harminv

Software prerequisites

Required to useLAPACK
Required to useBLAS

This entry (in part or in whole) was last reviewed on 20 February 2018.


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