Two-Dimensional Digital Filtering and its Error Analysis

The concept of a two-dimensional recursive digital filter is introduced and block diagram representations are given. Expressions for error bounds and mean-square, error for roundoff error accumulation are derived. Other sources of error are described. Simulation of the implementation of digital filters is discussed, and corresponding to this simulation, calculation of error is performed. Numerical examples are given. The derived analytic results are shown to be in good agreement with the simulation results.