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The optimal transform for the discrete Hirschman uncertainty principle

• Tomasz Przebinda, Victor E. DeBrunner, Murad Özaydin
• IEEE Trans. Information Theory
• 2001

Resolution in time-frequency

• Victor E. DeBrunner, Murad Özaydin, Tomasz Przebinda
• IEEE Trans. Signal Processing
• 1999

Using a new uncertainty measure to determine optimal bases for signal representations

• Tomasz Przebinda, Victor E. DeBrunner, Murad Özaydin
• ICASSP
• 1999

The optimal solutions to the continuous and discrete-time versions of the Hirschman uncertainty principle

• Victor E. DeBrunner, Murad Özaydin, Tomasz Przebinda, Joseph P. Havlicek
• ICASSP
• 2000

Improved Hardy and Rellich Inequalities on Riemannian Manifolds

• ISMAIL KOMBE, Murad Özaydin
• 2007

Over the last twenty years, there has been a lot of research concerning Hardy and Rellich inequalities on the Euclidean space R and, in particular, sharp inequalities as well as their improved… (More)

FM processing with generalized amplitude & phase: Application to modulation domain geometric image transformations

• Chuong T. Nguyen, Jonathan D. Williams, Joseph P. Havlicek, Murad Özaydin
• 2011 18th IEEE International Conference on Image…
• 2011

We introduce new generalized AM and FM functions to perform nonlinear image filtering in the modulation domain with consistent, artifact free phase reconstruction. The new framework enables us to… (More)

Hardy-poincaré, Rellich and Uncertainty Principle Inequalities on Riemannian Manifolds

• ISMAIL KOMBE, Murad Özaydin
• 2011

Abstract. We continue our previous study of improved Hardy, Rellich and Uncertainty principle inequalities on a Riemannian manifold M , started in [16]. In the present paper we prove new weighted… (More)

The Birthday Trick with Lies

• Murad Özaydin, Charlotte Simmons
• The American Mathematical Monthly
• 2011

In this article, we determine the number of yes/no questions required to figure out a birthday (a number between 0 and 31) when up to r incorrect answers to these questions are allowed. In the… (More)

Stiefel manifolds and coloring the pentagon

• James Dover, Murad Özaydin
• J. Comb. Theory, Ser. A
• 2014

Entropy-based uncertainty measures for L/sup 2/(/spl Ropf//sup n/), /spl lscr//sup 2/(/spl Zopf/), and /spl lscr//sup 2/(/spl Zopf//N/spl Zopf/) with a Hirschman optimal transform for /spl lscr//sup…

• Victor E. DeBrunner, Joseph P. Havlicek, Tomasz Przebinda, Murad Özaydin
• IEEE Transactions on Signal Processing
• 2005

The traditional Heisenberg-Weyl measure quantifies the joint localization, uncertainty, or concentration of a signal in the phase plane based on a product of energies expressed as signal variances in… (More)

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