Multi-frequency orthogonal wavelets generated by a finite set of functions
Shi Zhi · Journal of Xi'an University of Architecture & Technology · 2003
Multi frequency wavelets, via directional multi resolution analysis and generated by a single function are extended to orthogonal wavelets generated by a finite set of functions. Necessary and sufficient conditions for translation of φ 1 ,..., φ n to form an orthogonal basis for V 0 and translation of a finite set of functions to form a orthogonal basis for W 0 (the orthogonal complement of V 0 in V 1 ) are derived. The construction of wavelets generated by a finite set of functions is given.