On the accuracy of 2-D digital filter realizations using logarithmic number systems

This paper deals with the approximation of 2-D digital filters implemented with logarithmic number systems. Such systems guarantee accuracy and speed, then they are attractive for real-time digital processing of images. The limits on the maximum useful word length are discussed, and an optimization procedure for the base of the logarithmic number system is proposed. The possibility of designing efficient 2-D digital filters for logarithmic number systems is demonstrated with several examples.