Some Studies on Multidimensional Fourier Theory for Hilbert Transform, Analytic Signal and AM–FM Representation
Sign Up to like & getrecommendations! Published in 2019 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-019-01133-x
Abstract: In this paper, we propose the notion of Fourier frequency vector (FFV) which is inherently associated with the multidimensional (MD) Fourier representation (FR) of a signal. The proposed FFV provides physical meaning to the so-called… read more here.
Keywords: analytic signal; multidimensional fourier; hilbert transform; representation ... See more keywords
Extracting outer function part from Hardy space function
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-017-9169-5
Abstract: AbstractAny analytic signal fa(eit) can be written as a product of its minimum-phase signal part (the outer function part) and its all-phase signal part (the inner function part). Due to importance of such decomposition, Kumarasan… read more here.
Keywords: part; analytic signal; eit; function ... See more keywords
Interpretation of 2D magnetic sources based on the reciprocal of the analytic signal amplitude
Sign Up to like & getrecommendations! Published in 2019 at "Exploration Geophysics"
DOI: 10.1080/08123985.2019.1659101
Abstract: ABSTRACT In this paper, we present a new method based on the reciprocal of the analytic signal amplitude and its derivatives, to directly estimate the structural indices and location parameters of 2D magnetic data. However,… read more here.
Keywords: based reciprocal; signal amplitude; analytic signal; reciprocal analytic ... See more keywords
An analytic signal-based accurate time-domain viscoacoustic wave equation from the constant-Q theory
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DOI: 10.1190/geo2020-0154.1
Abstract: We have introduced a concise time-domain wave equation to accurately simulate wave propagation in viscoacoustic media. The central idea behind this work is to dismiss the negative frequency components from a time-domain signal by converting… read more here.
Keywords: analytic signal; wave equation; time domain; equation ... See more keywords