Construction of Wavelets and Multiwavelets Basis Год выпуска: 2010Автор: Dr Asim BhattiИздательство: LAP Lambert Academic PublishingСтраниц: 108ISBN: 9783838348322Описание Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over scalar wavelets since they simultaneously posse symmetry and orthogonality. In this work, a new method for constructing multiwavelets with any approximation order is presented. The method involves the derivation of a matrix equation for the desired approximation order. The condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors give the combinations of scaling functions required to reconstruct the desired spline or super function. The method is demonstrated by constructing a specific class of symmetric and non-symmetric multiwavelets with different approximation orders, which include Geranimo-Hardin-Massopust (GHM), Daubechies and Alperts like multi-wavelets, as parameterized solutions. All multi-wavelets constructed in this...
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Наталья Спасибо огромное Марине!!! Я защитилась на \"хорошо\", не ответила на один вопрос (по поводу закона). Более трети человек из группы гос.аттестационная комиссия завернула из-за плохого содержания работы. Содержание моего диплома им очень понравилось! Всем рекомендую студенточку :)
