Near-perfect-reconstruction pseudo-QMF banks

Author

Nguyen, Truong Q.

Author_Institution

Lincoln Lab., MIT, Lexington, MA, USA

Volume

42

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

65

Lastpage

76

Abstract

A novel approach to the design of M-channel pseudo-quadrature mirror filter (QMF) banks is presented. In this approach, the prototype filter is constrained to be a linear-phase spectral-factor of a 2Mth band filter. As a result, the overall transfer function of the analysis/synthesis system is a delay. Moreover, the aliasing cancellation (AC) constraint is derived such that all the significant aliasing terms are canceled. Consequently, the aliasing level at the output is comparable to the stopband attenuation of the prototype filter. In other words, the only error at the output of the analysis/synthesis system is the aliasing error which is at the level of stopband attenuation. Using this approach, it is possible to design a pseudo-QMF bank where the stopband attenuation of the analysis (and thus synthesis) filters is on the order of -100 dB. Moreover, the resulting reconstruction error is also on the order of -100 dB. Several examples are included

Keywords

antialiasing; digital filters; signal synthesis; transfer functions; 2Mth band filter; AC constraint; M-channel pseudo-quadrature mirror filter banks; aliasing cancellation constraint; analysis/synthesis system; error; linear-phase spectral-factor; near-perfect-reconstruction pseudo-QMF banks; prototype filter; reconstruction error; stopband attenuation; transfer function; Attenuation; Channel bank filters; Filter bank; Finite impulse response filter; Image reconstruction; Prototypes; Signal synthesis; Speech analysis; Speech coding; Speech synthesis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.258122

Filename

258122