Title :
Norm induced QMF banks design using LMI constraints
Author :
Li, Min ; Kok, Chi-Wah
Author_Institution :
Electr. Eng. Dept, Hong Kong Univ. of Sci. & Technol., Kowloon, China
Abstract :
This paper presents constrained ℓ 2 norm and L∞ norm optimal QMF banks designs. Both methods cast the design problems as a linear objective function minimization problem subject to linear matrix inequality (LMI) constraints, which are solved by semidefinite programming. The LMI constraints are shown to be convex. Consequently, the designed QMF banks are globally optimal with respect to the objective function.
Keywords :
convex programming; matrix algebra; minimisation; quadrature mirror filters; L∞ norm optimal QMF banks; LMI constraints; QMF bank design; constrained ℓ 2 norm; convex constraints; global optimality; linear matrix inequality; linear objective function minimization; norm induced QMF banks; quadrature mirror filters; semidefinite programming; Design optimization; Eigenvalues and eigenfunctions; Filter bank; Functional programming; Least squares methods; Linear matrix inequalities; Linear programming; Minimization methods; Mirrors; Signal design;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). 2003 IEEE International Conference on
Print_ISBN :
0-7803-7663-3
DOI :
10.1109/ICASSP.2003.1201726
