Title :
Relationship between Hadamard-Haar and arithmetic transforms
Author :
Falkowski, Bogdan J. ; Yan, Shixing
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
The mutual relationships between Hadamard-Haar and arithmetic transforms in the form of matrix decomposition as layered vertical and horizontal Kronecker matrices are introduced. The new relations apply to an arbitrary dimension of the transform matrices and allow performing direct conversions between arithmetic and Hadamard-Haar functions and their corresponding spectra.
Keywords :
Haar transforms; Hadamard matrices; Hadamard transforms; arithmetic; decision diagrams; logic design; matrix decomposition; Hadamard-Haar functions; Hadamard-Haar transforms; arithmetic functions; arithmetic transforms; decision diagrams; horizontal Kronecker matrices; logic design; matrix decomposition; vertical Kronecker matrices; Arithmetic; Digital signal processing; Discrete transforms; Error correction; Error correction codes; Logic functions; Matrix decomposition; Signal synthesis; Spectral analysis; Testing;
Conference_Titel :
Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
Print_ISBN :
0-7803-8346-X
DOI :
10.1109/MWSCAS.2004.1354038
