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

Quadrature mirror filterLattice (music)StopbandAlgorithmFilter bankMathematicsComputer scienceChannel (broadcasting)Pure mathematicsPrototype filterBand-pass filterBandwidth (computing)Low-pass filterElectronic engineeringEngineeringPhysicsAcousticsTelecommunications

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Publication Info

Year
1988
Type
article
Volume
36
Issue
1
Pages
81-94
Citations
327
Access
Closed

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P. P. Vaidyanathan, P.-Q. Hoang (1988). Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks. IEEE Transactions on Acoustics Speech and Signal Processing , 36 (1) , 81-94. https://doi.org/10.1109/29.1491

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DOI
10.1109/29.1491