Multidimensional perfect reconstruction (PR) quadrature mirror filter (QMF) banks with finite impulse response (FIR) filters induced from systems of biorthogonal multivariate scaling functions and wavelets are investigated. In particular, bivariate scaling functions and wavelets with dilation as an expansive integer matrix whose determinant is two in absolute value are considered. Demonstrative quincunxial examples are explicitly given and new FIR filters are constructed.
Bidimensional PR QMF with FIR Filters,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 2,
2, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol2/iss2/1