{"product_id":"construction-of-wavelets-and-multiwavelets-basis-von-asim-bhatti","title":"Construction of Wavelets and Multiwavelets Basis","description":"\u003cp\u003eMultiwavelets 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 work, posses the good properties of orthogonality, approximation order and  short support.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838348322\"\u003e\u003ch3\u003eA Generalized Method\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838348322","offer_id":39499048779869,"sku":"9783838348322","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ebb321ce-1f41-449f-934c-a8fc47239f16.jpg?v=1769667988","url":"https:\/\/shop.autorenwelt.de\/en\/products\/construction-of-wavelets-and-multiwavelets-basis-von-asim-bhatti","provider":"Autorenwelt Shop","version":"1.0","type":"link"}