Postprint version. Published in Proceedings 2018 IEEE 61st International Midwest Symposium on Circuits and Systems (MWSCAS), August 5, 2018.
The definitive version is available at https://doi.org/10.1109/MWSCAS.2018.8624020.
This paper deals with linear time-invariant (LTI) systems and examines the link between the 3dB cutoff and time-constants. It shows that the cutoff frequency of a low-pass damped network can be estimated from the reciprocal of a p-norm calculated from the system's time-constants. Furthermore, to achieve good accuracy the p factor must have a fractional value, for example, p=1.7. Two formulas are derived, and their performance evaluated using Monte Carlo simulations which reveal a sub-3% error for most cases.
Electrical and Computer Engineering
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