Kutay, Mehmet AlperErden, M. F.Özaktaş, Haldun M.Arıkan, OrhanCandan, Ç.Güleryüz, Ö.2016-02-082016-02-081998-050736-7791http://hdl.handle.net/11693/27669Date of Conference: 15-15 May 1998Conference name: : Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98It 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 or multi-channel filtering operations in fractional Fourier domains, resulting in much more efficient implementations with acceptable decreases in accuracy. By varying the number and configuration of filter blocks, which may take the form of arbitrary flow graphs, it is possible to trade off between accuracy and efficiency in the desired manner. The proposed scheme constitutes a systematic way of exploiting the information inherent in the regularity or structure of a given linear system or matrix, even when that structure is not readily apparent.EnglishApproximation theoryCommunication channels (information theory)Fourier transformsGraph theoryLinear systemsMatrix algebraSignal processingFractional Fourier domainsMultichannel filteringOptical matrix vector multiplier architecturesSignal filtering and predictionLinear systemsCost-efficientEfficient implementationFractional Fourier domainsMatrix-vector productsMulti-channel filteringTrade offConference Paper10.1109/ICASSP.1998.679603