DocumentCode :
758251
Title :
An Analytical Pascal Matrix Transform for 
-to- 
Domain Transfer Functions
-to- Domain Transfer FunctionsAuthor :
Kang, Zhu-Sheng
Author_Institution :
Univ. of Electron. Sci. & Technol. of China, Chengdu
Volume :
13
Issue :
10
fYear :
2006
Firstpage :
597
Lastpage :
600
Abstract :
An analytical Pascal matrix transform is proposed for conversions of transfer functions between s- and z-domains. The transform is formulated uniformly for first-order s-to-z transforms, and its Pascal matrix is derived logically and analytically. The inverse transform is then formed in terms of its forward transform matrices without computing the matrix inverses. Computation examples show that the presented Pascal matrix transform works simply and efficiently
Keywords :
matrix inversion; transfer function matrices; transforms; analytical Pascal matrix transform; matrix inversion; s-to-z domain transfer function; Discrete transforms; Equations; Linear circuits; Linear systems; Matrices; Matrix decomposition; Polynomials; Sampling methods; Transfer functions; Linear systems; Pascal matrix; matrix transform; transfer function;
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2006.875350
Filename :
1703536
Link To Document :
