caa a22 4500 397558732 CHVBK 20180308164810.0 cr unu---uuuuu 161202e199606 xx s 000 0 eng 10.1093/imamci/13.2.131 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.2.131 HERSH M. A. Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow G12 8QQ, Scotland A comparison of discrete time system representations based on delta and w operators [Elektronische Daten] [M. A. HERSH] Traditionally shift operators have been used to represent discrete time systems. However they have the drawbacks of often introducing unstable zeros into the discretization of a minimum phase continuous time system and not giving convergence to the continuous time behaviour as the sampling time tends to zero. The delta operator has been shown to perform better in both these respects, and many authors consider that it should replace the shift operator. However there are also a number of other possibilities. The question then arises of whether the delta operator is indeed the most appropriate operator to be used in the representation of discrete time systems. In this work the performance of δ-operator system representations is compared with that of w-operator ones. It is shown that both operators are suitable to be used in systems representations and superior to the commonly used shift operator, but that, on balance, the δ operator is preferable to the w operator. © Oxford University Press Articles nationallicence IMA Journal of Mathematical Control and Information Oxford University Press 13/2(1996-06), 131-149 0265-0754 13:2<131 1996 13 imamci https://doi.org/10.1093/imamci/13.2.131 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.2.131 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- HERSH M. A. Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow G12 8QQ, Scotland NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/2(1996-06), 131-149 0265-0754 13:2<131 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford