Title :
2-dimensional recursive orthogonal wavelet transformation
Author :
Yasuoka, Hiromichi ; Ikehara, Masaaki
Author_Institution :
Fac. of Sci. & Technol., Keio Univ., Yokohama, Japan
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.389858
