TY - JOUR
T1 - Complex-valued Thiran allpole filters
AU - Fernandez-Vazquez, Alfonso
AU - Jovanovic Dolecek, Gordana
N1 - Funding Information:
This work was supported in part by Consejo Nacional de Ciencia y Tecnología (CONACyT) under Project 157858 and in part by Sec-retaría de Investigación y Posgrado, Instituto Politécnico Nacional (SIP-IPN) under Project 20110209 and Project 20121069.
PY - 2013/1
Y1 - 2013/1
N2 - This paper describes the generalization of the real-valued Thiran allpole filter to the complex case. The design specifications for the complex case are the phase value φα, the group delay τ, and the degree of flatness K at ω=0. The complex filter coefficients are obtained by solving a set of closed form linear equations derived from the design specification. Depending on the parity of the degree of flatness K, we proposed three classes of complex-valued allpole filters. We also establish the stability conditions, which depend on τ and φα. Finally, the application of the proposed filters for the design of a casual complex-valued cardinal orthogonal scaling function is described.
AB - This paper describes the generalization of the real-valued Thiran allpole filter to the complex case. The design specifications for the complex case are the phase value φα, the group delay τ, and the degree of flatness K at ω=0. The complex filter coefficients are obtained by solving a set of closed form linear equations derived from the design specification. Depending on the parity of the degree of flatness K, we proposed three classes of complex-valued allpole filters. We also establish the stability conditions, which depend on τ and φα. Finally, the application of the proposed filters for the design of a casual complex-valued cardinal orthogonal scaling function is described.
KW - Allpole filter
KW - Complex IIR filter
KW - Maximally flat
KW - Thiran filter
UR - http://www.scopus.com/inward/record.url?scp=84869507828&partnerID=8YFLogxK
U2 - 10.1016/j.dsp.2012.08.008
DO - 10.1016/j.dsp.2012.08.008
M3 - Artículo
SN - 1051-2004
VL - 23
SP - 433
EP - 441
JO - Digital Signal Processing: A Review Journal
JF - Digital Signal Processing: A Review Journal
IS - 1
ER -