Title
Finding the Maximum and Minimum Magnitude Responses (Gains) of Third-Order Filters without Calculus
Document Type
Article
Publication Date
12-2013
Abstract
The maximum and minimum gains (with respect to frequency) of third-order low-pass and high-pass filters are derived without using calculus. Our method uses the little known fact that extrema of cubic functions can easily be found by purely algebraic means. PSpice simulations are provided that verify the theoretical results.
Journal Name
Latin American Journal of Physics Education
Recommended Citation
Cartwright, K.V., P. Russell, and E. J. Kaminsky, “Finding the maximum and minimum magnitude responses (gains) of third-order filters without calculus,” Lat. Am. J. Phys. Educ., vol. 7, no. 4, Dec. 2013, pp. 582-587.