Design and Properties of Two-direction Compactly Supported Wavelet Packets with an Integer Dilation Factor
Baoxian Lv, Xiaofeng Wang · 2009
In this article, the notion of biorthogonal two-direction compactly supported wavelet packets with a positive integer dilation factor ¿ is introduced. A new approach for constructing biorthogonal two-direction wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The formulas for performing iterations and decomposition are established. Finally, two new Riesz bases of space L2(R) are obtained.