Title :
The description of two-direction biorthogonal finitely supported wavelet packets with three-scale dilation
Author :
Feng, Jinshun ; Jiang, Shuyan
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Abstract :
In this work, the concept of biorthogonal two-direction finitely supported wavelet packets with three-scale is introduced. A new method for designing two-direction biorthogonal wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Lastly, two Riesz bases of space L2(R) are drawn from these wavelet packets.
Keywords :
matrix decomposition; time-frequency analysis; wavelet transforms; Riesz bases; matrix theory; operator theory; three-scale dilation; time-frequency analysis; two-direction biorthogonality; wavelet packets; Design methodology; Educational technology; Equations; Fourier transforms; Intelligent transportation systems; Multiresolution analysis; Power electronics; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonal; Tiesz bases; Two-direction; time-frequency analysis; wavelet packets;
Conference_Titel :
Power Electronics and Intelligent Transportation System (PEITS), 2009 2nd International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-4244-4544-8
DOI :
10.1109/PEITS.2009.5406924
