Title :
Spectral transformation for systems of incompletely specified discrete functions
Author :
Falkowski, Bogdan J. ; Rahardja, Susanto
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
A novel representation of systems of incompletely specified discrete functions is shown. The new expansion is based on both standard and GF(4) algebra. The transform matrix of the expansion is defined by an arbitrary set of linearly independent one-variable functions in GF(4). The introduced expansion is generalized by applying to it the concept of polarity
Keywords :
Galois fields; functional analysis; matrix algebra; polynomials; signal processing; spectral analysis; GF(4) algebra; incompletely specified discrete functions; linearly independent one-variable functions; polarity; polynomial expansion; signal processing; spectral transformation; standard algebra; transform matrix; Algebra; Arithmetic; Circuit testing; Discrete transforms; Fourier transforms; Galois fields; Logic; Polynomials; Signal processing; Very large scale integration;
Conference_Titel :
Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4325-5
DOI :
10.1109/ICOSP.1998.770266
