Add to ORKGInternational audienceIn this work we provide an extension to analytic signal method for multidimensional signals. First, expressions for separate phase-shifted components are given. Second, we show that phase-shifted components could be obtained from hypercomplex Fourier transform in the algebra of commuta-tive hypercomplex numbers. Finally we apply multidimen-sional analytic signal method to signals defined on graphs
In this work, the fundamental blocks of multirate signal processing on graphs are analyzed. First th...
National audienceWe propose a generalization of the graph Fourier transform to arbitrary Hilbert spa...
The analytic signal (AS) was proposed by Gabor as a complex signal corresponding to a given real sig...
International audienceIn this work we provide an extension to analytic signal method for multidimens...
Submitted to Applied and Computational Harmonic AnalysisIn this paper we extend analytic signal to t...
The paper is devoted to the theory of n-D complex and hypercomplex analytic signals with emphasis on...
In a recent paper, the authors have presented the unified theory of n-dimensional (n-D) complex and ...
Developing tools to analyze signals defined over a graph is a research area that is attracting a sig...
The subject of this paper is the application of hypercomplex algebras (in particular quaternions and...
We consider the extension of the analytic signal concept known for real valued signals to the case o...
Abstract—In applications such as social, energy, transporta-tion, sensor, and neuronal networks, hig...
This paper introduces a two-dimensional generalization of the analytic signal. This novel approach i...
Abstract The paper reviews some recent progress on adaptive signal decom-position into mono-componen...
In classical graph signal processing (GSP), the underlying topological structures are restricted in ...
The paper presents the overview of the theory of 2-D complex and quaternion analytic signals with th...
In this work, the fundamental blocks of multirate signal processing on graphs are analyzed. First th...
National audienceWe propose a generalization of the graph Fourier transform to arbitrary Hilbert spa...
The analytic signal (AS) was proposed by Gabor as a complex signal corresponding to a given real sig...
International audienceIn this work we provide an extension to analytic signal method for multidimens...
Submitted to Applied and Computational Harmonic AnalysisIn this paper we extend analytic signal to t...
The paper is devoted to the theory of n-D complex and hypercomplex analytic signals with emphasis on...
In a recent paper, the authors have presented the unified theory of n-dimensional (n-D) complex and ...
Developing tools to analyze signals defined over a graph is a research area that is attracting a sig...
The subject of this paper is the application of hypercomplex algebras (in particular quaternions and...
We consider the extension of the analytic signal concept known for real valued signals to the case o...
Abstract—In applications such as social, energy, transporta-tion, sensor, and neuronal networks, hig...
This paper introduces a two-dimensional generalization of the analytic signal. This novel approach i...
Abstract The paper reviews some recent progress on adaptive signal decom-position into mono-componen...
In classical graph signal processing (GSP), the underlying topological structures are restricted in ...
The paper presents the overview of the theory of 2-D complex and quaternion analytic signals with th...
In this work, the fundamental blocks of multirate signal processing on graphs are analyzed. First th...
National audienceWe propose a generalization of the graph Fourier transform to arbitrary Hilbert spa...
The analytic signal (AS) was proposed by Gabor as a complex signal corresponding to a given real sig...