Title :
Orthonormal high level canonical PWL functions
Author :
Julián, Pedro ; Desages, Alfredo ; D´Amico, Belén
Author_Institution :
Dept. de Ingenieria Electrica, Univ. Nacional del Sur, Bahia Blanca, Argentina
Abstract :
An inner product is defined for the linear vector space PWLH [S] of all the Piecewise Linear (PWL) continuous mappings defined over a rectangular compact set S, using a simplicial partition. This permits us to assure that PWLH [S] is a Hilbert space. This immediately leads us to the definition of an orthonormal basis
Keywords :
Hilbert spaces; nonlinear functions; nonlinear network analysis; piecewise linear techniques; set theory; Hilbert space; PWL continuous mappings; high level canonical PWL functions; inner product; linear vector space; orthonormal PWL functions; piecewise linear continuous mappings; rectangular compact set; simplicial partition; Function approximation; Hilbert space; Ink; Piecewise linear techniques; Student members; Vectors;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.777621
