Design of 2-dimensional linear phase perfect reconstruction FIR filter bank using Lagrange multiplier method

Author

Ikehara, Masaaki ; Inose, Kenji

Author_Institution

Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan

Volume

3

fYear

1996

fDate

7-10 May 1996

Firstpage

1566

Abstract

We present a design method of 2-dimensional (2D) linear phase (LP) perfect reconstruction (PR) FIR filter banks based on the Lagrange multiplier method. In M analysis filters, we first design M-1 analysis filters which have an LP property. Finally we design the Mth analysis filter with LP so that the overall system satisfy PR. Then the Mth analysis filter is optimized to have a good response while keeping PR based on the Lagrange multiplier method. By this method, 2D LP PR filter banks can be easily designed by only solving the simultaneous equation, although the order of the Mth analysis filter is higher than that of the others

Keywords

FIR filters; delay circuits; filtering theory; signal reconstruction; signal synthesis; two-dimensional digital filters; 2D linear phase FIR filter bank; analysis filters; perfect reconstruction filter bank; sampling matrix; simultaneous equation solution; Design methodology; Design optimization; Equations; Filter bank; Finite impulse response filter; Image reconstruction; Lagrangian functions; Matrix decomposition; Sampling methods; Signal analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on

Conference_Location

Atlanta, GA

ISSN

1520-6149

Print_ISBN

0-7803-3192-3

Type

conf

DOI

10.1109/ICASSP.1996.544100

Filename

544100