Title :
Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions
Author :
Ramachandran, V. ; Ramachandran, Ravi R. ; Gargour, C.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
The denominator polynomial of a given causal stable z-domain transfer function is modified so that the magnitude of the frequency response remains the same. This simple modification permits an infinite number of decompositions of the modified denominator into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, continued fraction expansions (CFE) are considered and some properties are obtained. These properties indicate whether the original denominator polynomial has all its roots within the unit circle (is minimum phase) or not
Keywords :
frequency response; numerical stability; polynomials; transfer functions; 1D discrete reactance function; anti-mirror-image polynomial; continued fraction expansion; decomposition; denominator polynomial; frequency response; mirror-image polynomial; stability; transfer function; z-domain; Artificial intelligence; Frequency; Polynomials; Stability; Testing; Transfer functions;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921202
