Effects of finite precision in two-dimensional recursive digital filters†
A.N. Venetsanopoulos, B.G. Mertzios, Stanley Henry Mneney · International Journal of Electronics · 1985
The effects of finite precision are considered in two-dimensional recursive digital fillers. Errors are introduced in quantizing the input, the coefficients and in the evaluation of the multiplications of the filter implementations. Finite register length models of the filters are developed and block diagrams are given for various forms of realization. A statistical approach is used, which permits the computation of the statistics of the errors at the output of the filters. Rounding and truncation are compared, as methods of quantization. Various forms of fixed-point arithmetic are considered and some examples are given.