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

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2 Author(s)
Bauer, P.H. ; Dept. of Electr. Eng., Notre Dame Univ., IN, USA ; Premaratne, K.

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

Published in:

Southeastcon '94. Creative Technology Transfer - A Global Affair., Proceedings of the 1994 IEEE

Date of Conference:

10-13 Apr 1994