TY - JOUR
T1 - A recursive orthogonal wavelet device
AU - Yasuoka, Hiromichi
AU - Ikehara, Masaaki
AU - Isobe, Hiroyuki
PY - 1994
Y1 - 1994
N2 - A design for a one‐dimensional (1‐D), 2‐D recursive orthogonal wavelet consisting of a parallel connection of a delay and allpass network is presented. There have been some methods to obtain wavelet functions from perfect reconstruction filter banks following an investigation by Mallat of the relation between wavelet transform and filter banks. These methods are based mostly on an FIR filter. A method based on IIR filters has never been investigated. IIR digital filter has fewer orders than FIR digital filters to realize the same specification and satisfies the orthogonal condition of the orthogonal wavelet by using both parallel connection of some delays and an allpass filter. Furthermore, a maximum number of zeros are placed at aliasing frequencies in the lowpass filter as a way of obtaining the regularity of the wavelet. Finally, some design samples of discrete scaling and wavelet functions are presented.
AB - A design for a one‐dimensional (1‐D), 2‐D recursive orthogonal wavelet consisting of a parallel connection of a delay and allpass network is presented. There have been some methods to obtain wavelet functions from perfect reconstruction filter banks following an investigation by Mallat of the relation between wavelet transform and filter banks. These methods are based mostly on an FIR filter. A method based on IIR filters has never been investigated. IIR digital filter has fewer orders than FIR digital filters to realize the same specification and satisfies the orthogonal condition of the orthogonal wavelet by using both parallel connection of some delays and an allpass filter. Furthermore, a maximum number of zeros are placed at aliasing frequencies in the lowpass filter as a way of obtaining the regularity of the wavelet. Finally, some design samples of discrete scaling and wavelet functions are presented.
KW - IIR digital filter
KW - Recursive orthogonal wavelet
KW - allband filter
KW - wavelet transform
UR - http://www.scopus.com/inward/record.url?scp=0028549497&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0028549497&partnerID=8YFLogxK
U2 - 10.1002/ecjc.4430771109
DO - 10.1002/ecjc.4430771109
M3 - Article
AN - SCOPUS:0028549497
VL - 77
SP - 91
EP - 101
JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
SN - 1042-0967
IS - 11
ER -