Optimum "L" filter
Linear analog electronic filters 


Simple filters 
The Optimum "L" filter (also known as a Legendre–Papoulis filter) was proposed by Athanasios Papoulis in 1958. It has the maximum roll off rate for a given filter order while maintaining a monotonic frequency response. It provides a compromise between the Butterworth filter which is monotonic but has a slower roll off and the Chebyshev filter which has a faster roll off but has ripple in either the pass band or stop band. The filter design is based on Legendre polynomials which is the reason for its alternate name and the "L" in Optimum "L".
See also
References
 Athanasios Papoulis (1958). Optimum Filters with Monotonic Response. Proceedings to the IRE.
 Kuo, Franklin F. (1966). Network Analysis and Synthesis. Wiley. ISBN 0471511188. Second Edition.
 Optimum “L” Filters: Polynomials, Poles and Circuit Elements by C. Bond, 2004
 Notes on “L” (Optimal) Filters by C. Bond, 2011
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