Design of stable 2-D recursive filters using power-of-two coefficients

In this paper, we will present an algorithm to quantize the infinite-precision coefficients of a recursive filter. This algorithm utilizes an objective function during quantization to ensure filter's characteristics. The underlying structural implementation is a 2-D lowpass filter which uses four 2-D allpass subfilters which are interconnected to each other. An example is provided to show the efficiency of this technique.