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 -