Note 42. Elliptic Filters

Elliptic filters have ripples in both the passband and the stopband, and generally have better selectivity than Chebyshev filters of comparable orders. Determining the transfer function is somewhat more complicated for an elliptical filter than it is for Butterworth or Chebyshev filters. The process begins with the specification of four parameters, which are depicted in Figure 42.1.

Ap = maximum passband loss, dB

As = minimum stopband loss, dB

ωp = passband cutoff frequency

ωs = stopband cutoff frequency

Figure 42.1. Magnitude response showing parameters used to specify an elliptical filter.

image

The minimum filter order ...

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