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https://ieeexplore.ieee.org/document/335863/
It is shown that expansions with only five to ten terms provide an excellent description of the computer simulated and real signals. It is shown that these two families of Hermite functions are well suited for the analysis of nonstationary biological evoked potentials with compact time support.
https://en.wikipedia.org/wiki/Hermite_polynomials
The conventional Hermite polynomials may also be expressed in terms of confluent hypergeometric functions, see below. With more general boundary conditions, the Hermite polynomials can be generalized to obtain more general analytic functions for complex-valued λ.
https://www.sciencedirect.com/science/article/pii/S0165168499001267
Modulated Hermite series expansions and the time-bandwidth product. ... we are interested in series expansions that are as compact as possible. We can use the free parameters as the means to obtain a compact series expansion for a given function. ... G.V. SandriHermite expansions of compact support waveforms: applications to myoelectric signals ...Cited by: 1
https://www.researchgate.net/publication/257470333_Time-frequency_analysis_of_signals_using_support_adaptive_Hermite-Gaussian_expansions
Time–frequency analysis of signals using support adaptive Hermite–Gaussian expansions Article in Digital Signal Processing 22(6):1010–1023 · December 2012 with 34 Reads How we measure 'reads'
https://www.researchgate.net/publication/224245898_Compression_of_QRS_complexes_using_Hermite_expansion
We propose an algorithm for the compression of ECG signals, in particular QRS complexes, based on the expansion of signals with compact support into a basis of discrete Hermite functions.
https://digital-library.theiet.org/content/journals/10.1049/iet-com.2010.1055
Spectral efficiency is a major requirement in ultra-wideband (UWB) communication systems because of very low power spectral density (PSD) regulations imposed on the transmitted signals. Besides, large number of orthogonal waveforms is highly desirable in multiuser systems. In this study, the design of a set of spectrally efficient orthogonal waveforms is investigated.Cited by: 1
https://dl.acm.org/citation.cfm?id=2369759
Time-frequency analysis of signals using support adaptive Hermite-Gaussian expansions. Authors: ... Anjali, T. and Adve, R.S., Simultaneous extrapolation in time and frequency domains using Hermite expansions. IEEE Trans. Antennas Propag. v47. 1108-1115. ... R. and Sandri, G.V., Hermite expansions of compact support waveforms: applications to ...Cited by: 18
https://digital-library.theiet.org/content/journals/10.1049/el_20062112
Nov 09, 2006 · Hermite polynomials have applications in almost every area of electrical and electronic engineering. Simple (hitherto unknown) representations are derived for the Hermite polynomials. For simplicity, the univariate case is considered. The same result holds for the multivariate and complex Hermite polynomials.Cited by: 1
https://link.springer.com/article/10.1007/BF02510519
The application of the Hermite-Rodriguez and the associated Hermite functions is discussed as a means to provide compact information about the shape of the M-wave or of the power spectral density function of either voluntary or electrically elicited myoelectric signals; a means to estimate scaling factors; and a means to describe and classify ...Cited by: 69
https://link.springer.com/chapter/10.1007/0-387-28809-0_33
From Analog Information to Digital Databases — Does it Keep Everything Intact? ... R. Merletti, and G. V. Sandri, Hermite expansions of compact support waveforms: Applications to myoelectric signals, IEEE Trans ... From Analog Information to Digital Databases — Does it Keep Everything Intact?. In: Vasilecas O., Wojtkowski W., Zupančič J ...Author: Hagai Kirshner, Moshe Porat
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