Design of nonuniform near allpass complementary FIR filters via a semi-infinite programming technique

In this correspondence, we consider the problem of designing a set of nonuniform near allpass complementary finite impulse response (FIR) filters. This problem can be formulated as a quadratic semi-infinite programming problem, where the objective is to minimize the sum of the ripple energy for the...

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Published inIEEE transactions on signal processing Vol. 53; no. 1; pp. 376 - 380
Main Authors Ho, C.Y.F., Ling, B.W.K., Liu, Y., Tam, P.K.S., Teo, K.L.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.01.2005
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN1053-587X
1941-0476
DOI10.1109/TSP.2004.838960

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Abstract In this correspondence, we consider the problem of designing a set of nonuniform near allpass complementary finite impulse response (FIR) filters. This problem can be formulated as a quadratic semi-infinite programming problem, where the objective is to minimize the sum of the ripple energy for the individual filters, subject to the passband and stopband specifications as well as to the allpass complementary specification. The dual parameterization method is used for solving the linear quadratic semi-infinite programming problem.
AbstractList In this correspondence, we consider the problem of designing a set of nonuniform near allpass complementary finite impulse response (FIR) filters. This problem can be formulated as a quadratic semi-infinite programming problem, where the objective is to minimize the sum of the ripple energy for the individual filters, subject to the passband and stopband specifications as well as to the allpass complementary specification. The dual parameterization method is used for solving the linear quadratic semi-infinite programming problem.
Author Liu, Y.
Tam, P.K.S.
Ling, B.W.K.
Ho, C.Y.F.
Teo, K.L.
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crossref_primary_10_1002_acs_2927
crossref_primary_10_1016_j_dsp_2012_08_017
crossref_primary_10_1016_j_sigpro_2019_01_022
crossref_primary_10_1109_TSP_2006_880338
crossref_primary_10_1016_j_measurement_2013_04_071
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Cites_doi 10.1109/5.3286
10.1109/TASSP.1987.1165086
10.1109/ISCAS.1996.542155
10.1007/978-3-7091-6217-0_10
10.1109/19.153341
10.1109/78.324752
10.4310/CIS.2002.v2.n4.a5
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10.1109/ICASSP.1985.1168359
10.1109/TCS.1987.1086086
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10.1109/TCSI.2002.1010036
10.1109/LSP.2002.806701
10.1109/TASSP.1986.1164945
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Issue 1
Keywords Simulation
nonuniform frequency bands
Semi infinite programming
System design
Finite impulse response filter
semi-infinite programming
Parameterization
Allpass complementary FIR filters
Optimization
dual parameterization
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StartPage 376
SubjectTerms Allpass complementary FIR filters
Applied sciences
Band pass filters
Detection, estimation, filtering, equalization, prediction
dual parameterization
Exact sciences and technology
Finite impulse response filter
Frequency
Impulse response
Information, signal and communications theory
Linear programming
Linear quadratic
Mathematical analysis
Mathematics
Nonuniform
nonuniform frequency bands
Parametrization
Passband
Programming
Quadratic programming
Ripples
semi-infinite programming
Signal analysis
Signal and communications theory
Signal processing algorithms
Signal reconstruction
Signal, noise
Specifications
Telecommunications and information theory
Title Design of nonuniform near allpass complementary FIR filters via a semi-infinite programming technique
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