Frame analysis has become popular much later in sampling theory, time-frequency analysis andwavelet theory. In the work, the notion of bivariate affine pseudoframes is introduced and the notion of abivariate generalized multiresolution analysis (GMRA) is introduced. A novel approach for designing oneGMRA of Paley-Wiener subspaces of is proposed. The sufficient condition for the existence of a sort of affinepseudoframes with fi-filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramiddecomposition scheme is established based on such a generalized multiresolution analysis. An approach fordesigning a sort of affine biariate dual frames in two-dimensional space is presented. The pyramid decomposition scheme is obtained.
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