A Procedure for Designing Vector-valued Compactly Supported Wavelets
Han Ke-zhong · Physics Procedia · 2012
Wavelet analysis has been applied to many aspects in science and technology. The notion of vector-valued wavelets with four-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with quarternary-scale is discussed. A necessary and sufficient condition is presented by means of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a sort of orthogonal vector-valued wavelets with compact support is proposed, and their orthogonal properties are discussed.