The optimal transform for the discrete Hirschman uncertainty principle
T Przebinda, V DeBrunner… - IEEE Transactions on …, 2001 - ieeexplore.ieee.org
We determine all signals giving equality for the discrete Hirschman uncertainty principle. We
single out the case where the entropies of the time signal and its Fourier transform are …
single out the case where the entropies of the time signal and its Fourier transform are …
A wreath product group approach to signal and image processing. I. Multiresolution analysis
R Foote, G Mirchandani, DN Rockmore… - IEEE Transactions …, 2000 - ieeexplore.ieee.org
We propose the use of spectral analysis on certain noncommutative finite groups in digital
signal processing and, in particular, image processing. We pay significant attention to …
signal processing and, in particular, image processing. We pay significant attention to …
An entropy-based uncertainty principle for a locally compact abelian group
M Özaydin, T Przebinda - Journal of Functional Analysis, 2004 - Elsevier
An entropy-based uncertainty principle for a locally compact abelian group Page 1 Journal of
Functional Analysis 215 (2004) 241–252 An entropy-based uncertainty principle for a locally …
Functional Analysis 215 (2004) 241–252 An entropy-based uncertainty principle for a locally …
The optimal solutions to the continuous and discrete-time versions of the hirschman uncertainty principle
V DeBrunner, M Ozaydin, T Przebinda… - … on Acoustics, Speech …, 2000 - ieeexplore.ieee.org
We have previously developed an uncertainty measure that is suitable for finitely-supported
(N samples) discrete-time signals. A specific instance of our measure has been termed the" …
(N samples) discrete-time signals. A specific instance of our measure has been termed the" …
An algebraic approach to multiresolution analysis
R Foote - Transactions of the American Mathematical Society, 2005 - ams.org
The notion of a weak multiresolution analysis is defined over an arbitrary field in terms of
cyclic modules for a certain affine group ring. In this setting the basic properties of weak …
cyclic modules for a certain affine group ring. In this setting the basic properties of weak …
Three Uncertainty Principles for an Abelian Locally Compact
T Przebinda - Representations of real and p-adic groups, 2004 - books.google.com
The purpose of this article is to direct reader's attention to some re-cent developments
concerning three Uncertainty Principles: the classical Heisenberg-Weyl Uncertainty …
concerning three Uncertainty Principles: the classical Heisenberg-Weyl Uncertainty …
MCM OFDM using sparse signals
V DeBrunner, J Schroeder - 2010 Conference Record of the …, 2010 - ieeexplore.ieee.org
We describe our initial approach to MCM OFDM that uses entropy-based signal models to
provide a sparse, efficient set of codes. Specifically, we consider applying a set of sparse …
provide a sparse, efficient set of codes. Specifically, we consider applying a set of sparse …
[PDF][PDF] A Wreath Product Group Approach to Signal Processing
R Foote, G Mirchandani, D Rockmore, D Healy… - submitted to IEEE Trans …, 1998 - Citeseer
We propose the use of spectral analysis on certain noncommutative finite groups in digital
signal processing, and in particular, image processing. We pay significant attention to …
signal processing, and in particular, image processing. We pay significant attention to …