نتایج جستجو برای: gabor frame

تعداد نتایج: 105972  

2009
DORIN DUTKAY DEGUANG HAN DAVID LARSON

The duality principle for Gabor frames states that a Gabor sequence obtained by a time-frequency lattice is a frame for L(R ) if and only if the associated adjoint Gabor sequence is a Riesz sequence. We prove that this duality principle extends to any dual pairs of projective unitary representations of countable groups. We examine the existence problem of dual pairs and establish some connectio...

2006
Peter Balazs Jean-Pierre Antoine Anna Gryboś

Weighted and controlled frames have been introduced recently to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper we develop systematically these notions, including their mutual relationship. We will show that controlled frames are equivalent to standard frames and so this concept gives a generalized way to check the frame condition, while ...

Journal: :iranian journal of medical physics 0
b. sharif m.sc. in biomedical engineering, tehran university of medical sciences, tehran, iran. a. ahmadian assistant professor, physics and biomedical engineering dept., tehran university of medical sciences, tehran, iran. research center for science & technology in medicine, imam khomeini hospital, tehran, iran m.a. oghabian research center for science & technology in medicine, imam khomeini hospital, tehran, iran. associate professor, physics and biomedical engineering, tehran university of medical sciences, tehran, iran. n. izadi mood assistant professor, phathology dept., tehran university of medical sciences, tehran, iran m. khoobdel assistant professor, military health research center, baqiyatallah university of medical sciences, tehran, iran

introduction: the process of discriminating among benign and malignant hyperplasia begun with subjective methods using light microscopy and is now being continued with computerized morphometrical analysis requiring some features. one of the main features called volume percentage of stroma (vps) is obtained by calculating the percentage of stroma texture. currently, this feature is calculated by...

A. Ahmadian A. Mostafa M. Gitie M. J. Abolhasani

Introduction: A major problem facing the patients with chronic liver diseases is the diagnostic procedure.  The conventional diagnostic method depends mainly on needle biopsy which is an invasive method. There  are  some  approaches  to  develop  a  reliable  noninvasive  method  of  evaluating  histological  changes  in  sonograms. The main characteristic used to distinguish between the normal...

Journal: :Filomat 2023

In this paper, we study the finite Gabor system for oversampling schemes. A characterization of dual tight frame using discrete time Zak transform is given. Also, a method to calculate coefficients expansion in case and necessary sufficient condition existence biorthogonal pair Riesz basis l2(ZL) Further, introduce notion block sliding Fourier (BSDFT) which reduces computational complexity give...

2006
Yonina C. Eldar Ewa Matusiak Tobias Werther

In this paper we develop constructive invertibility conditions for the twisted convolution. Our approach is based on splitting the twisted convolution with rational parameters into a finite number of weighted convolutions, which can be interpreted as another twisted convolution on a finite cyclic group. In analogy with the twisted convolution of finite discrete signals, we derive an anti-homomo...

Journal: :Journal of Approximation Theory 2014
Tobias Kloos Joachim Stöckler

We study totally positive (TP) functions of finite type and exponential Bsplines as window functions for Gabor frames. We establish the connection of the Zak transform of these two classes of functions and prove that the Zak transforms have only one zero in their fundamental domain of quasi-periodicity. Our proof is based on the variation-diminishing property of shifts of exponential B-splines....

Journal: :Math. Comput. 2016
Zhitao Fan Hui Ji Zuowei Shen

Abstract. Dual Gramian analysis is one of the fundamental tools developed in a series of papers [37, 40, 38, 39, 42] for studying frames. Using dual Gramian analysis, the frame operator can be represented as a family of matrices composed of the Fourier transforms of the generators of (generalized) shiftinvariant systems, which allows us to characterize most properties of frames and tight frames...

2009
FRANZ LUEF F. Luef

In the present investigation we link noncommutative geometry over noncommutative tori with Gabor analysis, where the first has its roots in operator algebras and the second in time-frequency analysis. We are therefore in the position to invoke modern methods of operator algebras, e.g. topological stable rank of Banach algebras, to exploit the deeper properties of Gabor frames. Furthermore, we a...

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