@inproceedings{bfdb9a6e47a64dc4a84dccdd68df6cb6,

title = "Fixed-point implementation of multi-dimensional delta-operator formulated discrete-time systems: difficulties in convergence",

abstract = "In this paper, the convergence properties of linearly stable multi-dimensional systems are investigated for the case of delta-operator implementations in fixed-point format. It is shown that zero-convergence is almost never achieved, if the sampling time is small. Using a one-dimensional analysis, it is demonstrated that zero-convergence cannot be guaranteed along the axis of the first hyper-quadrant for a first hyper-quadrant causal system. This limits the use of delta-operators for solving partial differential equations in discrete time with fixed-point arithmetic.",

author = "Bauer, {Peter H.} and Kamal Premaratne",

year = "1994",

month = jan,

day = "1",

language = "English (US)",

isbn = "078031798X",

series = "Conference Proceedings - IEEE SOUTHEASTCON",

publisher = "Publ by IEEE",

pages = "26--29",

booktitle = "Conference Proceedings - IEEE SOUTHEASTCON",

note = "Proceedings of the IEEE SOUTHEASTCON '94 ; Conference date: 10-04-1994 Through 13-04-1994",

}