Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/104180
Title: Special class of orthonormal wavelets: Theory, implementations, and applications
Authors: Shen, Lixin 
Tham, Jo Yew 
Lee, Seng Luan 
Tan, Hwee Huat 
Issue Date: 1999
Citation: Shen, Lixin,Tham, Jo Yew,Lee, Seng Luan,Tan, Hwee Huat (1999). Special class of orthonormal wavelets: Theory, implementations, and applications. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 3 : 1225-1228. ScholarBank@NUS Repository.
Abstract: This paper introduces a novel class of length-4N orthonormal scalar wavelets, and presents the theory, implementational issues, and their applications to image compression. We first give the necessary and sufficient conditions for the existence of this class. The parameterized representation of filters with different lengths are then given. Next, we derive new and efficient decomposition and reconstruction algorithms specifically tailored to this class of wavelets. We will show that the proposed discrete wavelet transformations are orthogonal and have lower computational complexity than conventional octave-bandwidth transforms using Daubechies' orthogonal filters of equal length. In addition, we also verify that symmetric boundary extensions can be applied. Finally, our image compression results further confirm that improved performance can be achieved with lower computational cost.
Source Title: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
URI: http://scholarbank.nus.edu.sg/handle/10635/104180
ISSN: 07367791
Appears in Collections:Staff Publications

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