Title :
Generalized multi-polarity Haar transform
Author :
Falkowski, Bogdan J.
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
A new formulation of generalized multi-polarity Haar transform has been introduced. Forward and inverse transformation kernels, and ways of recursive generation of transform matrices by using layered Kronecker products of elementary matrices have been given. Mutual relations among transform matrices and spectra for arbitrary polarities have been presented.
Keywords :
Haar transforms; logic CAD; matrix algebra; recursive functions; relational algebra; wavelet transforms; arbitrary polarity matrix spectra; digital logic design applications; elementary matrix layered Kronecker products; forward transformation kernels; generalized multi-polarity Haar transform; inverse transformation kernels; transform matrices mutual relations; transform matrix recursive generation; Boolean functions; Circuit synthesis; Circuit testing; Digital circuits; Fourier transforms; Logic design; Logic testing; Signal processing; Signal synthesis; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010814
