DocumentCode :
3478862
Title :
Generalized complex spectral decision diagrams using unified complex Hadamard transform
Author :
Rahardja, Susanto ; Xie, Shoulie
Author_Institution :
Media Process. Dept., Agency for Sci., Technol. & Res., Singapore, Singapore
fYear :
2003
fDate :
16-19 May 2003
Firstpage :
391
Lastpage :
395
Abstract :
This paper focuses on the study of different decision diagrams for representations of binary and multiple-valued functions using both the unified complex Hadamard transforms (UCHTs) whose transformation matrices contain elements ±1 and ±i and their Spectra. Types of the underlying decision diagrams are: hybrid decision diagrams, complex multi-terminal decision diagrams, complex algebraic decision diagrams, real and imaginary decision diagrams. Since UCHT unifies sixty-four different complex Hadamard transformation, it can provide a unified complex Hadamard spectral transform decision diagram. These more general complex Hadamard spectral decision diagrams generalize all results in [3, 4].
Keywords :
Hadamard matrices; Hadamard transforms; binary decision diagrams; multivalued logic; Hadamard spectral transform decision diagram; UCHT; binary decision diagram; complex algebraic decision diagram; complex multiterminal decision diagram; hybrid decision diagram; imaginary decision diagram; multiple-valued function; real decision diagram; transformation matrices; unified complex Hadamard transform; Boolean functions; Data structures; Digital signal processing; Discrete transforms; Error correction; Error correction codes; Logic design; Matrix decomposition; Signal processing algorithms;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Multiple-Valued Logic, 2003. Proceedings. 33rd International Symposium on
ISSN :
0195-623X
Print_ISBN :
0-7695-1918-0
Type :
conf
DOI :
10.1109/ISMVL.2003.1201433
Filename :
1201433
Link To Document :
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