The Papoulis Filter (aka Optimum L Filter)
The Papoulis Filter (aka Optimum "L" Filter)
http://mathscinotes.com/2011/06/the-...imum-l-filter/
Comparison with Other Filter Functions
Figure 2 shows how the L-filter compares to the Butterworth and Chebyshev filters (all 3rd order in the figure).
Figure 3 shows how the L-filter characteristics change as the L-filter order increases.
History
The L-filter was developed by Athanasios Papoulis in a pair of articles published in 1958 and 1959:
◾odd-ordered polynomial: "Optimum Filters with Monotonic Response," Proc. IRE, 46, No. 3, March 1958, pp. 606-609
◾even-ordered polynomial:"On Monotonic Response Filters," Proc. IRE, 47, No. 2, Feb. 1959, 332-333 (correspondence section)
For a given filter order, the L-filter has the fastest roll-off rate of all filters with a monotonic magnitude response (i.e. the low-pass filter magnitude function always decreases with increasing frequency).
Кто-нибудь пробовал такой фильтр?
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