Legendre Filters
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Legendre Filters |
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The Legendre filter is a monotonic all pole filter in that the pass band slope is always zero or downward, never upward, and it is optimized for the greatest slope at the pass band edge. Legendre filters are useful in applications which require a steep cutoff at the pass band edge without pass band ripples, or in cases where a Chebyshev I filter produces too much group delay at the pass band edge. Below is an examples of Legendre low pass and step responses. |
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Legendre Low Pass filter, 10MHz Pass Band Frequency |
 Legendre Low Pass filter Pass Band |
 Legendre Band Pass Filter |
 Legendre Time Response |
Inverse Legendre
Legendre filter may also be inverted so that the maximum monotonic response is in the stop band. This is only implementable for active, switched capacitor, and digital filters.
 Inverse Legendre Low Pass filter, 10MHz Pass Band Frequency |