Minimization of finite wordlength error in 2-D FIR digital filters in the frequency domain

This paper presents a method to minimize the finite wordlength error in output signals of linear phase 2-D FIR filters. The finite wordlength errors can be easily analyzed in the frequency domain when the input signal statistics are known. In the case of white input signals, impulse responses corresponding to all levels of input impulses are optimized so as to minimize the errors. A new ROM based filter structure is proposed in which the optimized impulse responses are stored in the ROM. The output signals are generated by superposing the impulse responses corresponding to the input levels. Many results of simulations confirm that the output signals of the proposed filters have far less errors than those of conventional filters