This article examines the three sources of quantisation error in digital filters for three filter structures and presents expressions for their evaluation. The effect on these expressions of changing the sampling interval is assessed and it is shown which types of quantisation error increase and which decrease with sampling frequency and how this depends upon filter structure.
Agarwal, R.C. and Burrus, C.S.1975. 'New recursive digital filter structure having very low sensitivity and round-off noise', IEEE Trans on Circuits and SystemsCAS-22, (12), 921-927.
2.
Forsythe, W.1986. 'Determination of the truncation error in difference equations' , Applied Mathematical Modelling, 10, 367-375.
3.
Goodall, R.M.1985. 'High speed digital controllers using an 8 bit microprocessor' , Software and Microsystems, 4, (5/6), 109-116.
4.
Houpis, C.H. and Lamont, G.B.1985. Digital control systems, McGraw-Hill , Singapore.
5.
Jackson, L.B.1972. 'On the interaction of roundoff noise and dynamic range in digital filters', in Digital Signal Processing (Rabiner and Rader, eds), IEEE Press, New York, USA.
6.
Liu, B.1971. 'Effect of finite word length on the accuracy of digital filters-a review', IEEE Trans on Circuit Theory, CT18, (6).
7.
Oppenheim, A.V. and Shafer, R.W.1975. Digital signal processing, ch 8, Prentice Hall, New Jersey, USA.
8.
Oppenheim, A.V. and Willsky, A.S.1988. Signals and systems, Appendix A2, Prentice Hall, New Jersey, USA.
9.
Rabiner, L.R. and Gold, B.1975. Theory and application of digital signal processing, Prentice Hall, New Jersey, USA.