A method is presented to show how deterministic errors in low-bandwidth digital filters may be expressed in terms of the input signal and its derivatives. By applying a Taylor series expansion to the delayed terms of the difference equation implemented by the digital filter, the difference equation may be written as a differential equation which allows easy computation of the deterministic errors, The paper also demonstrates the importance of performing error analysis as part of the digital filter design process.
Forsythe, W., and Goodall, R.M.1991. Digital Control, Fundamentals, Theory and Practice , MacMillan Education Ltd, Hong Kong.
2.
Franklin, G.F., Powell, J.D., and Workman, M.L.1990. Digital Control of Dynamic Systems, Addison-Wesley, London.
3.
Katz, P.1981. Digital Control using Microprocessors, Prentice-Hall International (UK), London .
4.
Knowles, J.B.1994. Direct Digital Control Systems, Research Studies Press, Taunton.
5.
Liu, B.1971. Effect of finite wordlength on the accuracy of digital filters - a review', IEEE Trans on Circuit Theory, CT18(6), 667-670.
6.
Oliver, M.A., and Forsythe, W.1995a. "Causes and effects of algorithmic error in digital filters ', Control Engineering Practice, 3(10), 1421-1432.
7.
Oliver, M.A., and Forsythe, W.1995b. 'Improving the performance of emulated digital filters' , Irish Digital Signal Processing and Control Colloquium, IDSPCC '95, Queen's 'University of Belfast, pp. 339-346.
