Linear phase perfect reconstruction cosine modulated filter banks using nilpotent matrices

Author

Abhilash, G. ; Anand, G.V.

Author_Institution

Dept. of Electron. & Commun. Eng., Nat. Inst. of Technol., Calicut, India

Volume

3

fYear

2003

fDate

15-17 Oct. 2003

Firstpage

1020

Abstract

We propose a new method of constructing linear phase perfect reconstruction (LPPR) cosine modulated filter banks (CMFB) in the Schuller-Smith framework which is a matrix framework for designing modulated filter banks [Gerald Schuller et al., Aug. 1996]. The design invokes nilpotent matrix formalism which originates from the Schuller-Smith framework. The design uses cosine modulation only and no sine modulation is necessary. The filter bank has an M-band structure in contrast to the conventional 2M-band structures [(X. Q. Gao et al., Apr. 1996) (Yuen-Pei Lin et al., Nov. 1995)] that use both cosine and sine modulations. The design uses discrete cosine transform type-6 (DCT-6).

Keywords

channel bank filters; discrete cosine transforms; linear phase filters; matrix algebra; signal reconstruction; M-band structure; Schuller-Smith framework; constructing linear phase perfect reconstruction; conventional 2M-band structures; cosine modulated filter banks; discrete cosine transform; matrix framework; nilpotent matrix formalism; sine modulations; Channel bank filters; Discrete transforms; Filter bank; Finite impulse response filter; Nonlinear filters; Phase modulation; Polynomials; Prototypes; Sparse matrices; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

TENCON 2003. Conference on Convergent Technologies for the Asia-Pacific Region

Print_ISBN

0-7803-8162-9

Type

conf

DOI

10.1109/TENCON.2003.1273401

Filename

1273401