Ewa Matusiak

Ewa Matusiak
University of Vienna | UniWien

About

11
Publications
739
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145
Citations
Citations since 2016
0 Research Items
68 Citations
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
Introduction

Publications

Publications (11)
Patent
A method for signal processing includes accepting an analog signal, which consists of a sequence of pulses confined to a finite time interval. The analog signal is sampled at a sampling rate that is lower than a Nyquist rate of the analog signal and with samples taken at sample times that are independent of respective pulse shapes of the pulses and...
Article
We consider perturbation of frames and frame sequences in a Hilbert space H. It is known that small perturbations of a frame give rise to another frame. We show that the canonical dual of the perturbed sequence is a perturbation of the canonical dual of the original one and estimate the error in the approximation of functions belonging to the pertu...
Article
Full-text available
We develop sub-Nyquist sampling systems for analog signals comprised of several, possibly overlapping, finite duration pulses with unknown shapes and time positions. Efficient sampling schemes when either the pulse shape or the locations of the pulses are known have been previously developed. To the best of our knowledge, stable and low-rate sampli...
Article
Full-text available
Time-frequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such representations is often directly related to the computational load of any algorithm operating in the transform domain. To reduce complexity, it may be desirable to increase the time and frequency sampling int...
Article
Full-text available
Time-frequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such representations is often directly related to the computational load of any algorithm operating in the transform domain. To reduce complexity, it may be desirable to increase the time and frequency sampling int...
Article
Full-text available
We study a sampling setup where a continuous-time signal is mapped by a memoryless, invertible and nonlinear transformation, and then sampled in a nonideal manner. Such scenarios appear, for example, in acquisition systems where a sensor introduces static nonlinearity, before the signal is sampled by a practical analog-to-digital converter. We deve...
Article
Full-text available
In this paper, we describe a new method for studying the invertibility of Gabor frame operators. Our approach can be applied to both the continuous (on) and the finite discrete setting. In the latter case, we obtain algorithms for directly computing the inverse of Gabor frame-type matrices equivalent to those known in the literature. The framework...
Article
Full-text available
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 fi...
Article
Full-text available
We develop sub-Nyquist sampling systems for signals comprised of several, possibly overlapping, finite duration pulses with unknown shapes and time positions. To the best of our knowledge, stable and low-rate sampling strategies for a superposition of unknown pulses without knowledge of the pulse locations have not been derived. We propose a multic...
Article
Full-text available
In this work we consider the following setup, which is valid in several engineering applications; available are the generalized samples (1) of a sig- nal x. This signal is related to a function y, through a known mapping T ; y = T(x). additionally, we have the prior y 2 A , where A is a known sub- space of some Hilbert space H. Our purpose is to fi...
Article
Full-text available
The metaplectic representation describes a class of automorphisms of the Heisenberg group H = H(G) , defined for a locally compact abelian group G . For G =ℝ d , H is the usual Heisenberg group. For the case when G is the finite cyclic group ℤ n , only partial constructions are known. Here we present new results for this case and we obtai...

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