2-dimensional recursive orthogonal wavelet transformation

Author

Yasuoka, Hiromichi ; Ikehara, Masaaki

Author_Institution

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

Volume

iv

fYear

1994

fDate

19-22 Apr 1994

Abstract

The design of a 2-dimensional (2-D) recursive orthogonal wavelet based on iterated filter banks is investigated. To obtain the orthogonal wavelet, we use the parallel connection of some delays and a 2-D allpass filter. In this case, a pair of digital filters with orthogonality is obtained structurally and digital filters with arbitrarily orders can be designed. Furthermore a maximum number of zeros is put at aliasing frequencies in the lowpass filter to obtain the regularity of the wavelet. Design examples of discrete scaling and wavelet functions are presented

Keywords

IIR filters; all-pass filters; band-pass filters; filtering theory; low-pass filters; recursive filters; signal processing; two-dimensional digital filters; wavelet transforms; 2-D allpass filter; 2D recursive orthogonal wavelet; IIR filters; aliasing frequencies; delay elements; digital filters; discrete scaling; iterated filter banks; quincunx sampling matrix; recursive filters; wavelet functions; Digital filters; Digital signal processing; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Frequency; Multidimensional systems; Propagation delay; Sampling methods; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.389858

Filename

389858