Design of short tap perfect reconstruction filters for subband coding of images
Kunitoshi Komatsu, Kaoru Sezaki, Yasuhiko Yasuda · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1995
Abstract Short tap filters reduce the computational complexity of filtering processes and also reduce image degradations associated with ringing effects near edges in image subband coding. When the number of taps is reduced, however, coding performance generally deteriorates. In this paper, short tap filters that satisfy isolated perfect reconstruction constraints are designed so as to improve coding performance. For the sake of comparisons, linear phase‐ and orthogonal filters are also designed. Filters with coefficients determined by the values 2nare designed to reduce further the computational burden of the filter process. Assuming that the input can be modeled by an AR(1) process, the set of parameters which determine the tap coefficients are selected to maximize the coding gain. the relationship between signal‐to‐noise ratio and entropy is determined to evaluate coding performance. the superior coding performance of the perfect reconstruction filters shows no degradation when subjected to an integer coefficient constraint. Also, filters with coefficients determined by the values 2nand excellent coding performance are obtained.