Title :
H2/H∞ Design of 2D Multirate Filter Banks Subject to Subband Noises
Author :
Ran Yang ; Cishen Zhang ; Lihua Xie
Author_Institution :
Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC 3010,Australia. E-mail: r.yang@ee.mu.oz.au
Abstract :
In this paper, we consider the H2/H∞design of 2D (two-dimensional) FIR multirate filter banks. A definition of the H2norm for 2D systems is proposed and a method for computing an upper bound of the H2norm is given. Based on this result and the existing Bounded Real Lemma, a solution to the H2/H∞design problem in terms of a set of linear matrix inequalities (LMIs) is given. With respect to the reconstruction error, this solution minimizes the average energy of the error response to white subband noises and guarantees that the energy gain from the input to the error output is under a specified bound.
Keywords :
Channel bank filters; Design engineering; Design methodology; Finite impulse response filter; Hydrogen; Image reconstruction; Sampling methods; Signal analysis; Signal design; Signal synthesis;
Conference_Titel :
Control and Automation, 2003. ICCA '03. Proceedings. 4th International Conference on
Conference_Location :
Montreal, Que., Canada
Print_ISBN :
0-7803-7777-X
DOI :
10.1109/ICCA.2003.1594993
