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In this letter, we deal with the approximation of a nonsquare lapped transform matrix by another matrix. This second matrix is constrained to be the product of two stages: one lapped transform and a unitary postprocessing step, in such a way that approximation is accomplished by modifying the postprocessing stage alone. Viewing both matrices as transforms, the goal is to minimize the variance of the output error (discrepancy) for given input signal statistics. An extension of the result todoi:10.1109/97.975875 fatcat:gtlxhymcubfkxbbbjiszs4b5hu