GENERALIZED B-SPLINE SIGNAL-PROCESSING

This paper describes an efficient generalized B-spline filtering techn ique for the processing and representation of signals in terms of cont inuous generalized B-spline basis functions, Different types of genera lized B-spline of any degree are introduced in a more generalized fram ework. An efficient generalized B-spline filtering technique for band- limited signal is presented. It is shown that the entire filtering pro cess is equivalent to lowpass filtering of the band-limited signal. In the first stage of the filtering process, we consider the problem of extracting spline coefficients with down-sampling with a factor of m. In the second stage, we consider the reconstruction of the original si gnal through up-sampling with an optional zooming factor m. Normalized gain versus frequency response characteristics for some of the genera lized B-spline filters are plotted for interpretation of the quality o f generalized B-spline filtering. A computer simulation result is pres ented to show the antialiasing properly of generalized B-spline filter ing for band-limited signals.