Title :
A new multifilter design property for multiwavelet image compression
Author :
Jo Yew Tham ; Shen, Lixin ; Lee, Seng Luan ; Tan, Hwee Huat
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
Abstract :
Approximation order, linear phase symmetry, time-frequency localization, regularity, and stopband attenuation are some criteria that are widely used in wavelet filter design. We propose a new criterion called good multifilter properties (GMPs) for the design and construction of multiwavelet filters targeting image compression applications. We first provide the definition of GMPs, followed by a necessary and sufficient condition for an orthonormal multiwavelet system to have a GMP order of at least 1. We then present an algorithm to construct orthogonal multiwavelets possessing GMPs, starting from any length-2N scalar CQPs. Image compression experiments are performed to evaluate the importance of GMPs for image compression, as compared to other common filter design criteria. Our results confirmed that multiwavelets that possess GMPs not only yield superior PSNR performances, but also require much lower computations in their transforms
Keywords :
channel bank filters; data compression; filtering theory; image coding; transform coding; wavelet transforms; PSNR performance; approximation order; good multifilter properties; linear phase symmetry; multifilter design property; multiwavelet image compression; necessary condition; orthogonal multiwavelets; orthonormal multiwavelet system; regularity; scalar filter bank system; stopband attenuation; sufficient condition; time-frequency localization; wavelet filter design; Attenuation; Electronic mail; Filter bank; Image coding; Linear approximation; Mathematics; Nonlinear filters; Streaming media; Sufficient conditions; Time frequency analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.756200