Optimized Analog Filter Designs With Flat Responses by Semidefinite Programming

Analog filters constitute indispensable components of analog circuits. Inspired by recent advances in digital filter design, this paper provides a flexible design for analog filters. All-pole filters have maximally flat passband, so our design minimizes their passband distortion. Analogously, maxima...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2009-03, Vol.57 (3), p.944-955
Main Authors: Hoang, N.T., Tuan, H.D., Nguyen, T.Q., Hoang, H.G.
Format: Article
Language:English
Subjects:
Analog circuits
Analog filter
Applied sciences
Attenuation
Computer programs
convex analysis
Design optimization
Detection, estimation, filtering, equalization, prediction
Digital filters
Distortion
Exact sciences and technology
Finite impulse response filter
global optimization
IIR filters
Information, signal and communications theory
Low pass filters
Miscellaneous
Optimization
Passband
Polynomials
Programming
semidefinite programming (SDP)
Signal and communications theory
Signal design
Signal processing
Signal, noise
Software
Telecommunications and information theory
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Summary:Analog filters constitute indispensable components of analog circuits. Inspired by recent advances in digital filter design, this paper provides a flexible design for analog filters. All-pole filters have maximally flat passband, so our design minimizes their passband distortion. Analogously, maximally flat filters have maximally flat passband, so our design maximizes their stopband attenuation. Its particular cases provide flexible alternatives to the classical counterparts. Semidefinite program (SDP) formulations for the posed filter design problems are presented, which are efficiently solved by existing optimization software. Several examples and comparisons are provided to validate the viability of our design.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2008.2009021