Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks

Author

Vaidyanathan, P.P. ; Hoang, Phuong-Quan

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

36

Issue

1

fYear

1988

fDate

1/1/1988 12:00:00 AM

Firstpage

81

Lastpage

94

Abstract

A lattice structure and an algorithm are presented for the design of two-channel QMF (quadrature mirror filter) banks, satisfying a sufficient condition for perfect reconstruction. The structure inherently has the perfect-reconstruction property, while the algorithm ensures a good stopband attenuation for each of the analysis filters. Implementations of such lattice structures are robust in the sense that the perfect-reconstruction property is preserved in spite of coefficient quantization. The lattice structure has the hierarchical property that a higher order perfect-reconstruction QMF bank can be obtained from a lower order perfect-reconstruction QMF bank, simply by adding more lattice sections. Several numerical examples are provided in the form of design tables

Keywords

digital filters; filtering and prediction theory; optimisation; algorithm; analysis filters; coefficient quantization; design tables; lattice structure; numerical examples; optimal design; perfect reconstruction; quadrature mirror filter; robust implementation; stopband attenuation; Acoustic distortion; Algorithm design and analysis; Finite impulse response filter; Lattices; Low pass filters; Nonlinear distortion; Phase distortion; Quantization; Robustness; Transfer functions;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.1491

Filename

1491