Filter Settle Time for Signal Processing Applications
Michael T. McCord · Journal of International Crisis and Risk Communication Research · 1984
In this paper, the step modulated sine wave [u(t)Asin2πft] response of the low-pass, band-pass, and high-pass filters are evaluated. Butterworth filters from the first order on up to the ideal filter are analyzed, and expressions for the settle times developed. The longest settle time occurs for the ideal filter, with all other filters taking progressively less time to settle as the order decreases. A significant point is that the transient settle time for a filter depends on the difference in applied signal frequency and the filter cut off frequency. The set of expressions developed in this report are primarily intended to be sued in selecting programming time delays in computer based signal measurement and processing systems.