Title :
Characteristics of two-directional univariate wavelet packets
Author :
Chen, Qingjiang ; He, Xuehai
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Arch. & Tech., Nanyang, China
Abstract :
Wavelet analysis is a popular subject in science research. In this work, the concept of biorthogonal two-direction finitely supported wavelet packets with four-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 :
time-frequency analysis; wavelet transforms; Tiesz bases; biorthogonal wavelet packets; decomposition relationship; time-frequency analysis method; Biomedical signal processing; Design methodology; Educational institutions; Equations; Helium; Matrix decomposition; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonal; Tiesz bases; Two-direction; time-frequency analysis; wavelet packets;
Conference_Titel :
Information Management and Engineering (ICIME), 2010 The 2nd IEEE International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5263-7
Electronic_ISBN :
978-1-4244-5265-1
DOI :
10.1109/ICIME.2010.5477494
