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Sampling Formulas for Groups of Operators in Banach Spaces
We extend some results about sampling of entire functions of exponential type to Banach spaces. By using the generator D of a one-parameter group e tD ...
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Number of Degrees of Freedom in the Paley-Wiener Space
The concept of the number of degrees of freedom of band-limited signals is discussed in the context of the concentration property of the finite...
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Phase Retrieval from Low-Rate Samples
The paper considers the phase retrieval problem in N dimensional complex vector spaces. It provides two sets of deterministic measurement vectors...
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Time and Bandpass Limiting and an Application to EEG
A new time localized projection onto a subspace of band limited signals is presented and used to provide a definition of phase for a certain...
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Finite-Rate-of-Innovation for the Inverse Source Problem of Radiating Fields
Finite-rate-of-innovation (FRI) is a framework that has been developed for the sampling and reconstruction of specific classes of signals, in...
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Non-Convex Compressed Sensing Using Partial Support Information
In this paper we address the recovery conditions of weighted l p minimization for signal reconstruction from compressed sensing measurements when...
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Fourier Plane Filtering Revisited - Analogies in Optics and Mathematics
In the paper we start with Fourier plane filtering as a classical technique in microscopy, and continue to discuss how this optical processing...
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Estimation of Large Sets of Stochastic Signals: the Case of Sparse Sampling
In many applications, a priori information on a large set of signals of interest can only be obtained for a few signals, p , while information on...
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Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals
We consider the problem of “algebraic reconstruction” of linear combinations of shifts of several known signals f 1 ,..., f k from the Fourier samples....
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The Variation Detracting Property of Some Shannon Sampling Series and Their Derivatives
In this paper some generalized Shannon sampling operators which diminish the total variation of functions and their derivatives are considered. For...
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Data Driven Sampling of Oscillating Signals
The reduction of the number of samples is a key issue in signal processing for mobile applications. We investigate the link between the smoothness...
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Absolute Convergence of the Series of Fourier-Haar Coefficients
We give several statements on absolute convergence of the series of Fourier-Haar coefficients in terms of L p and p -variational moduli of continuity...
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Human Visual Characteristics Inspired Adaptive Image Quantization Method
Combined with human visual characteristics, this paper proposes an adaptive image quantization method using pulse coupled neural networks (PCNN). It...
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Options for Denormal Representation in Logarithmic Arithmetic
Economical hardware often uses a FiXed-point Number System (FXNS), whose constant absolute precision is acceptable for many signal-processing...
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Cardinal Sine Series: Convergence and Uniqueness
Many aspects of the cardinal sine series, particularly those associated with the mathematical theory of sampling in signal processing, are very well...
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Sampling and Reconstruction of Solutions to the Helmholtz Equation
We consider the inverse problem of reconstructing general solutions to the Helmholtz equation on some domain Ω from their values at scattered points x
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The Exponential Sampling Theorem of Signal Analysis and the Reproducing Kernel Formula in the Mellin Transform Setting
The Shannon sampling theory of signal analysis, the so-called WKS-sampling theorem, which can be established by methods of Fourier analysis, plays an...
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Aliasing Error for Sampling Series Derivatives
Elements of Bernstein spaces of band-limited functions with band width σ, σ > 0 are perfectly sampled from their values at discrete set of points...
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Guaranteed Sparse Signal Recovery with Highly Coherent Sensing Matrices
Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist...
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N-dimensional N-microphone sound source localization
This paper investigates real-time N -dimensional wideband sound source localization in outdoor (far-field) and low-degree reverberation cases, using a...
