Two-Dimensional Digital Filtering and Its Uncorrelated Error Analysis.
TEXAS UNIV AT AUSTIN ELECTRONICS RESEARCH CENTER
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The concept of a two-dimensional recursive digital filter is introduced and block diagram representations are given. Error analyses for both floating-point and fixed-point two-dimensional digital filters are carried out. A systematic way of estimating the mean squared errors due to roundoff, coefficient and input quantizations is discussed. Norm error bounds are also derived. Simulations of the implementations of digital filters are discussed, and corresponding to these simulations error calculations are performed. Numerical examples are given. The derived analytic results are shown to be in good agreement with the simulation results.