Title :
Construction of densities
Author_Institution :
Hunter Coll., City Univ. of New York, NY, USA
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;
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
DOI :
10.1109/TFSA.1998.721424
