This paper considers digital controllers using floating-point arithmetic. An error analysis tech nique is developed and is implemented by a computer program that is based on a simulation of the system. The outputs of the program include the form required to minimize quantization errors and the output errors for a given bit configuration. The program can be integrated into system simulations.
Kan, E.P.E.Aggarwal, J.K.Error Analysis of Digital Filters Employing Floating-Point ArithmeticIEEE Transactions on Circuit Theory vol. CT-18 November 1971 pp. 678-686
3.
Kaneko, T.Liu, B.Effect of Coefficient Rounding in Floating-Point Digital FiltersIEEE Transactions on Aerospace and Electronic Systems vol. AES-7 September 1971 pp. 995-1003
4.
Liu, B.Kaneko, T.Error Analysis of Digital Filters Realized with Floating-Point ArithmeticIEEE Proceedings vol. 57 October 1969 pp. 1735-1947
5.
Liu, B.Effect of Finite Word Length on the Accuracy of Digital Filters - a ReviewIEEE Transactions on Circuit Theory vol. CT-18 November 1971 pp. 670-677
6.
7.
Papantoni-Kazakos, P.Consideration of Round Off Errors in the Design of Mean Square EstimatorsIEEE Transactions on Automatic Control vol. AC-22 April 1977 pp. 276-279
8.
Phillips, C.L.Johnson, J.C.A Technique for Determining Accuracy Requirements for Digital Controller CoefficientsIEEE Transactions on Automatic Control vol. AC-15 December 1970 pp. 665-667
9.
Phillips, C.L.Sutherlin, D.W.Simplification of Covariance Analysis for Linear Fixed SystemsProceedings 1978 Summer Computer Simulation Conference AFIPS Press 1978
10.
11.
Rink, R.E.Chong, H.Y.Performance of State Regulator Systems with Floating-Point ComputationIEEE Transactions on Automatic Control vol. AC-24 June 1979 pp. 411-421
12.
Rink, R.E.Chong, H.Y.Covariance Equation for a Floating-Point Regulator SystemIEEE Transactions on Automatic Control vol. AC-24 December 1979 pp. 980-982
13.
Sandberg, I.W.Floating-Point Roundoff Accumulation in Digital-Filter RealizationsBell System Technical Journal vol. 46 October 1967 pp. 1775-1791
14.
Weinstein, C.Oppenheim, A.V.A Comparison of Roundoff Noise in Floating-Point and Fixed-Point Digital Filter RealizationsIEEE Proceedings vol. 57 June 1969 pp. 1181-1183