Name
Abstract | ||
|---|---|---|
In this paper we present a design method for optimal energy compaction IIR filters, where the numerator and de- nominator may have different degrees. The design is per- formed via iterative relaxations, where the numerator is op- timized given the denominator, followed by optimization of denominator given the numerator. The two optimization prob- lems involved are solved using semidefinite programming (SDP) techniques, where the real positiveness of the causal part of the product filter is formulated in two alternative ways: first using Kalman-Yakubovich-Popov (KYP) lemma, and second, by a less known parameterization(2)(3), which we show to be more convenient numerically. Numerical results show the effectiveness of the proposed method and the im- provements when compared with optimal FIR compaction filters or constrained IIR compaction filters (restricted to have allpass polyphase components). |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1109/ICASSP.2001.940677 | ICASSP |
Keywords | Field | DocType |
IIR filters,digital filters,iterative methods,optimisation,relaxation theory,IIR filters,Kalman-Yakubovich-Popov lemma,denominator optimization,iterative relaxations,numerator optimization,optimal energy compaction,semidefinite programming | Mathematical optimization,Polyphase system,Digital filter,Iterative method,Infinite impulse response,2D Filters,Optimization problem,Semidefinite programming,Mathematics,Fraction (mathematics) | Conference |
Volume | Citations | PageRank |
6 | 1 | 0.37 |
References | Authors | |
4 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| riitta niemisto | 1 | 3 | 1.44 |
| Bogdan Dumitrescu | 2 | 107 | 22.76 |
| Tabus, Ioan | 3 | 35 | 4.68 |