Title :
H∞ optimal envelope-constrained FIR filter design: an LMI approach
Author :
Tan, Zhiqiang ; Soh, Yeng Chai ; Xie, Lihua
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Abstract :
In this paper, we consider the envelope-constrained (EC) finite impulse response (FIR) filtering problems. The aim is to design an FIR filter such that the H∞ norm of the filter is minimized subject to the constraint that for a given input to the filter, its noiseless output is contained or bounded in a prescribed envelope. The filter design problem is formulated as a standard optimization one with linear matrix inequality (LMI) constraints. Furthermore, by relaxing the H∞ optimal norm constraint, we propose a robust ECFIR filter design algorithm based on the LMI approach
Keywords :
FIR filters; H∞ optimisation; circuit optimisation; constraint theory; filtering theory; matrix algebra; FIR filter design; H∞ optimal norm constraint; LMI approach; envelope-constrained finite impulse response filter; linear matrix inequality constraints; noiseless output; optimization; Additive noise; Australia; Constraint optimization; Filtering; Finite impulse response filter; Linear matrix inequalities; Noise robustness; Nonlinear filters; Signal design; Signal processing;
Conference_Titel :
Signal Processing and Its Applications, 1999. ISSPA '99. Proceedings of the Fifth International Symposium on
Conference_Location :
Brisbane, Qld.
Print_ISBN :
1-86435-451-8
DOI :
10.1109/ISSPA.1999.815829
