Application of Legendre Filter
时间:04-04
整理:3721RD
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Do you know any actual application of Legendre filter ?
https://en.wikipedia.org/wiki/Optimum_%22L%22_filter
http://mathscinotes.com/2011/06/the-...imum-l-filter/
https://en.wikipedia.org/wiki/Optimum_%22L%22_filter
http://mathscinotes.com/2011/06/the-...imum-l-filter/
I compared filter characteristics of the followings.
Butterworth : order=3, ωp=1.0, Ap=3dB
Chebyshev Type I(Passband Ripple) : order=3, ωp=1.0, Ap=3dB
Chebyshev Type II(Stopband Ripple) : order=3, ωp=1.0, Ap=3dB, ωs=1.8
Legendre : order=3, ωp=1.0, Ap=3dB
Also I attached a figure which shows order dependency of Legendre Filter.
I don't think Legendre filter has distict advantage.
I think this shows a reason why Legendre filter is unpopular.