Scaling and Roundoff in Fixed-Point Implementation of Control Algorithms
- 1 August 1984
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Industrial Electronics
- Vol. IE-31 (3) , 228-234
- https://doi.org/10.1109/TIE.1984.350040
Abstract
The analysis and design of digital controllers on microprocessors using fixed-point arithmetic have been considered. Three scaling techniques are applied to the design of digital controllers in such a way as to avoid overflow and to optimize the signal-to-roundoff noise ratio. Both the scaler and the multivariable cases are treated. Statistical estimates of the steady-state roundoff and quantization errors are derived.Keywords
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