Hilbert transform: Applications to atomic spectra
نویسندگان
چکیده
منابع مشابه
Hilbert Transform and Applications
When x(t) is narrow-banded, |z(t)| can be regarded as a slow-varying envelope of x(t) while the phase derivative ∂t[tan −1(y/x)] is an instantaneous frequency. Thus, Hilbert transform can be interpreted as a way to represent a narrow-band signal in terms of amplitude and frequency modulation. The transform is therefore useful for diverse purposes such as latency analysis in neuro-physiological ...
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Hilbert-Huang Transform (HHT) is a data analysis tool, first developed in 1998, which can be used to extract the periodic components embedded within oscillatory data. This thesis is dedicated to the understanding, application, and development of this tool. First, the background theory of HHT will be described and compared with other spectral analysis tools. Then, a number of applications will b...
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Some finite integrals are difficult to evaluate numerically because the integrand has a high peak or contains a rapidly oscillating function as a factor. If the integrand is an analytic function Cauchy's theorem may be applied to replace the integral by a contour integral, the path being chosen to avoid singularities of the integrand, together with a possible residue contribution. If the integr...
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T HE present edition of this work contains a number of corrections and additions; Birge's new set of fundamental constants has been adopted throughout, and various tables, especially the table of ionization potentials, have been brought up to date. The author is indebted to Professor J. W. Ellis of the University of California at Los Angeles for a list of errors and corrections ; several of the...
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In the literature adaptive Fourier decomposition is abbreviated as AFD that addresses adaptive rational approximation, or alternatively adaptive Takenaka-Malmquist system approximation. The AFD type approximations may be characterized as adaptive approximations by linear combinations of parameterized Szegö and higher order Szegö kernels. This note proposes two kinds of such analytic approximati...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2015
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.91.032513