DocumentCode
1711977
Title
Construction of densities
Author
Cohen, Leon
Author_Institution
Hunter Coll., City Univ. of New York, NY, USA
fYear
1998
Firstpage
317
Lastpage
320
Abstract
We present two new methods for obtaining densities. The first method is based on an operator equation that relates any two functions by an operator transformation. The method generalizes the classical results of Gram-Charlier/Edgeworth. The approach clarifies the kernel method presented by the author in 1966. In addition, we present a new method for obtaining joint densities for arbitrary variables. The method is based on the generalization of the characteristic function wherein we replace the exponentials by an arbitrary complete set of functions
Keywords
convolution; correlation methods; mathematical operators; series (mathematics); signal representation; signal synthesis; time-frequency analysis; transforms; Gram-Charlier/Edgeworth series; arbitrary variables; characteristic function generalisation; convolution; correlation; densities construction; joint densities; kernel method; operator equation; operator transformation; time-frequency representation; Density measurement; Educational institutions; Eigenvalues and eigenfunctions; Fourier transforms; NASA; Tensile stress;
fLanguage
English
Publisher
ieee
Conference_Titel
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location
Pittsburgh, PA
Print_ISBN
0-7803-5073-1
Type
conf
DOI
10.1109/TFSA.1998.721424
Filename
721424
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