Title :
Wavelets and filter banks: relationships and new results
Author :
Vetterli, Martin ; Herley, Cormac
Author_Institution :
Dept. of Electr. Eng., Columbia Univ., New York, NY, USA
Abstract :
The discrete version of the wavelet transform, which has recently emerged as a powerful tool for nonstationary signal analysis is closely related to filter banks, which have been studied in digital signal processing. Also, multiresolution signal analysis has been used in image processing. The relationship between these techniques is indicated. It is shown how to construct biorthogonal systems with linear-phase finite impulse response (FIR) filters and with regular analysis and synthesis. Some examples of practical interest are given. The complexity of the discrete wavelet transform is also discussed
Keywords :
digital filters; filtering and prediction theory; picture processing; signal processing; transforms; biorthogonal systems; digital signal processing; discrete wavelet transform; filter banks; image processing; linear-phase finite impulse response; multiresolution signal analysis; nonstationary signal analysis; wavelet transform; Digital signal processing; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Image processing; Image resolution; Signal analysis; Signal resolution; Signal synthesis; Wavelet analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
Conference_Location :
Albuquerque, NM
DOI :
10.1109/ICASSP.1990.115812
