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A general solution for the time delay introduced by a low-pass Butterworth digital filter: An application to
1126 Spencer Laboratory, Center for Biomedical Engineering Research, University of Delaware, Newark, DE 19716, USA. manal@udel.edu
Abstract:
Low-pass Butterworth digital filters are commonly used in biomechanics-related research. In general, the input signal is filtered in the forward and reverse directions so that a temporal shift in the output signal does not occur. There are times, however, when introducing a specific time delay is an important consideration when modeling a physiological event. Filtering the data in the forward direction only can be used as an efficient method to account for a specific time delay. Specific delays are possible by carefully selecting the filter order and cut-off frequency. The purpose of this paper is to present the analytical formulation of a general solution for the time delay introduced by a low-pass Butterworth digital filter.
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