Mono‐components for decomposition of signals

By Tao Qian. 2006

80 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geometry and Topology, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/36e5462a7e441515bd73108a9e0da232d78ecbaa

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In Computational Mechanics

1. Yuesheng Xu

In Geometry and Topology

1. Tao Qian

Citations in the corpus

• Intrinsic mono‐component decomposition of functions: An advance of Fourier theory (2010, background): “So far one finds that the class of mono-components is rather large, including Blaschke products of finite and infinite zeros, singular inner functions [6], the modified unimodular forms in relation to generalized Bedrosian Theorems [7--10], starlike and p-starlike functions [11], etc.”
• Adaptive Fourier decomposition of functions in quaternionic Hardy spaces (2012, background): “@D/ into mono-components, where by definition, a mono-component is a function (signal) that possesses an increasing analytic phase function (see [4]).”
• Fourier spectrum characterization of Hardy spaces and applications (2008, background): “…interest in adaptive decomposition of functions into the form where ρ k ≥ 0 a.e., θ k ( t ) ≥ 0 a.e., and ρ k ( t ) cos θ k ( t ) satisfies the Hilbert transform relation Each basic entry ρ k ( t ) cos θ k ( t ) that enjoys the three properties listed above is called a mono-component ([16]).”