Title :
The Wigner distribution for ordinary linear differential equations and wave equations
Author :
Galleani, Lorenzo ; Cohen, Leon
Author_Institution :
City Univ. of New York, NY, USA
Abstract :
A new method is presented to study systems governed by ordinary linear differential equations and partial differential equations whose solutions are waves. We show that one can obtain a differential equation for the Wigner distribution of the solution of a dynamical equation of evolution. As an example we derive in a new way the equation governing the Wigner distribution for the Schrodinger equation. We also consider differential equations where the forcing terms are random processes
Keywords :
Schrodinger equation; Wigner distribution; linear differential equations; partial differential equations; signal processing; Schrodinger equation; Wigner distribution; dynamical evolution equation; forcing terms; ordinary linear differential equations; partial differential equations; random processes; wave equations; Differential equations; NASA; Partial differential equations; Schrodinger equation; Time frequency analysis;
Conference_Titel :
Statistical Signal and Array Processing, 2000. Proceedings of the Tenth IEEE Workshop on
Conference_Location :
Pocono Manor, PA
Print_ISBN :
0-7803-5988-7
DOI :
10.1109/SSAP.2000.870193