The properties of biorthogonal ternary wavelet packets
Yumin Yu · Basic Sciences Journal of Textile Universities · 2011
The properties of the biorthogonal ternary wavelet packets are studied.Firstly,the notion of biorthogonal univariate wavelet packets is generalized.The definition for biorthogonal nonseparable ternary wavelet packets is given and a procedure for its construction is proposed.The biorthogonality property for the biorthogonal nonseparable ternary wavelet packets is investigated by using separation variable method and time-frequency analysis method, then three biorthogonality formulas are established,the Riesz basis of L2(R3) can be constructed by the biorthogonal ternary wavelet packets.