Matrix reformulation of the Gabor transform

Rogelio Balart

doi:10.1117/12.49806

1 December 1991 Matrix reformulation of the Gabor transform

Rogelio Balart

Proceedings Volume 1565, Adaptive Signal Processing; (1991) https://doi.org/10.1117/12.49806
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

We have observed that if one restricts the von Neumann lattice to N points on the time axis and M points in the frequency axis there are, by definition, only MN independent Gabor coefficients. If the data is sampled such that there are exactly MN samples, then the forward and inverse Gabor transforms should be representable as linear transformations in CMN, the MN-dimensional vector space over the complex numbers, and the relationships that hold become matrix equations. These matrix equations are formulated, and some conclusions are drawn about the relative merits of using some methods as opposed to others, i.e., speed versus accuracy, as well as whether or not the coefficients that are obtained via some methods are true Gabor coefficients.

Citation Download Citation

Rogelio Balart "Matrix reformulation of the Gabor transform", Proc. SPIE 1565, Adaptive Signal Processing, (1 December 1991); https://doi.org/10.1117/12.49806

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available