Title :
Transformation kernels and algorithms for the generation of forward and inverse Hadamard ordered multi-polarity generalized Walsh transforms
Author :
Falkowski, Bogdan J.
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
Abstract :
The ways of generation of forward and inverse transformation kernels for recently introduced generalized Walsh transform in Hadamard ordering have been presented. Algorithms that generate Hadamard ordered forward and inverse generalized Walsh transforms for an arbitrary polarity have been introduced. Mutual transitions and flow diagrams for the calculation of generalized Walsh spectra in different polarities from known spectrum of an arbitrary polarity for both forward and inverse transforms have been given
Keywords :
Hadamard transforms; Walsh functions; signal processing; Hadamard ordering; fast transforms; flow diagrams; forward transformation kernels; inverse transformation kernels; multipolarity generalized Walsh transforms; mutual transitions; Circuit synthesis; Circuit testing; Communication system control; Fourier transforms; Harmonic analysis; Image analysis; Image processing; Kernel; Signal analysis; Signal processing;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.518941