Signal processing with repeated filtering in fractional fourier domains

摘要

It is possible to obtain either exact realizations or useful approximations of linear systems or matrix-vector products arising in many different applications,by synthesizing them in the form of repeated filtering operations in consecutive fractional Fourier domains,resulting in much more efficient implementations with acceptable decreases in accuracy.By varyign the number of consecutive filter stages,it is possible to trade off between accuracy and efficiency in the desired manner.the proposed scheme ocnstitutes a systematic way of exploiting the information inherent in the regularity or strucrure of a igven linear system or matrix,even when that structure is not readily apparent.