The author describes a general class of polynomial allpole lowpass filters that include the more common allpole filters as special cases. A method is provided to design lowpass filter prototypes that exactly match the frequency domain specification with a continuous range of selectivity and passband ripple. For many applications Butterworth filters can be replaced with filters having a at least one less order. This approach may allow the standard 4th order Butterworth high- and low-pass filters in woofer-tweeter crossover circuits to be replaced by 3rd filters.
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