TY - GEN
T1 - Some properties of the z-domain continued fraction expansions of 1-D discrete reactance functions
AU - Ramachandran, V.
AU - Ramachandran, Ravi
AU - Gargour, C. S.
PY - 2001/12/1
Y1 - 2001/12/1
N2 - 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.
AB - 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.
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U2 - 10.1109/ISCAS.2001.921202
DO - 10.1109/ISCAS.2001.921202
M3 - Conference contribution
AN - SCOPUS:0034998189
SN - 0780366859
SN - 9780780366855
T3 - ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
SP - 841
EP - 844
BT - ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
T2 - 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
Y2 - 6 May 2001 through 9 May 2001
ER -