Title :
Family of unified complex Hadamard transforms
Author :
Rahardja, Susanto ; Falkowski, Bogdan J.
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
fDate :
8/1/1999 12:00:00 AM
Abstract :
Novel discrete orthogonal transforms are introduced in this paper, namely the unified complex Hadamard transforms. These transforms have elements confined to four elementary complex integer numbers which are generated based on the Walsh-Hadamard transform, using a single unifying mathematical formula. The generation of higher dimension transformation matrices is discussed in detail
Keywords :
Hadamard transforms; Walsh functions; discrete transforms; signal processing; Walsh-Hadamard transform; discrete orthogonal transforms; elementary complex integer numbers; higher dimension transformation matrices; single unifying mathematical formula; unified complex Hadamard transforms; Boolean functions; Digital signal processing; Discrete transforms; Error correction; Error correction codes; Geometry; Logic design; Polynomials; Signal processing; Signal processing algorithms;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
