Title :
Two-Dimensional Digital Filtering and its Error Analysis
Author :
Ni, Ming-duenn ; Aggarwal, J.K.
Author_Institution :
Department of Electrical Engineering and the Electronics Research Center, University of Texas
Abstract :
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.
Keywords :
Fixed point arithmetic, round-off error accumulation, two-dimensional digital filters.; Arithmetic; Convolution; Digital filters; Error analysis; Filtering algorithms; Frequency; Magnetic analysis; Magnetic separation; Roundoff errors; Stability; Fixed point arithmetic, round-off error accumulation, two-dimensional digital filters.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1974.224058
