A new friendly method of computing prolate spheroidal wave functions and wavelets
Gilbert G. Walter,T. Soleski +1 more
Reads0
Chats0
TLDR
In this article, the authors present a new method based on an eigenvalue problem for a matrix operator equivalent to that of the integral operator, which gives the values of these functions on the entire real line and is computationally more efficient.About:
This article is published in Applied and Computational Harmonic Analysis.The article was published on 2005-11-01 and is currently open access. It has received 76 citations till now. The article focuses on the topics: Differential operator & Operator (computer programming).read more
Citations
More filters
Signal analysis
TL;DR: The parts of this book of most interest and value to the EMC engineer will be the chapters on Thermal Noise, Antennas, Propagation and Transmission Lines, and Reflection and Refraction.
Journal ArticleDOI
A Survey on Multicarrier Communications: Prototype Filters, Lattice Structures, and Implementation Aspects
TL;DR: In this article, the authors present a unified review of waveform design options for multicarrier schemes, and pave the way for the evolution of the multic-carrier schemes from the current state of the art to future technologies.
Posted Content
A Survey on Multicarrier Communications: Prototype Filters, Lattice Structures, and Implementation Aspects
TL;DR: The goal of the present survey is to provide a unified review of waveform design options for multicarrier schemes to pave the way for the evolution of the multicarriers schemes from the current state of the art to future technologies.
Journal ArticleDOI
Mathematical concepts of optical superresolution
TL;DR: An overview of some mathematical concepts relevant to superresolution in linear optical systems and properties of bandlimited functions related to both instrumental and computational aspects of superresolution are presented.
Computation of Special Functions
TL;DR: In this article, a set of subroutines uses rational approximations to compute Bessel functions of integral order, and empirical formulae have been developed to express the limiting boundaries of the modes of computation.
References
More filters
Journal ArticleDOI
Communication in the presence of noise
TL;DR: A method is developed for representing any communication system geometrically and a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect.
Journal ArticleDOI
Prolate spheroidal wave functions, fourier analysis and uncertainty — II
David Slepian,H. O. Pollak +1 more
TL;DR: In this paper, the authors apply the theory developed in the preceding paper to a number of questions about timelimited and bandlimited signals, and find the signals which do the best job of simultaneous time and frequency concentration.
Journal ArticleDOI
Prolate spheroidal wave functions, fourier analysis and uncertainty — III: The dimension of the space of essentially time- and band-limited signals
H. J. Landau,H. O. Pollak +1 more
TL;DR: In this paper, the authors examined the mathematical truth in the engineering intuition that there are approximately 2WT independent signals ϕ i of bandwidth W concentrated in an interval of length T. Roughly speaking, the result is true for the best choice of the ϕ I (prolate spheroidal wave functions), but not for sampling functions (of the form sin t/t).
Related Papers (5)
Prolate spheroidal wave functions, fourier analysis and uncertainty — II
David Slepian,H. O. Pollak +1 more