Maximally Flat Amplitude Low-Pass Filter with an Arbitrary Number of Pairs of Real Frequency Transmission Zeros

The synthesis of a general class of filter with maximally flat passband and Chebyshev stopband attenuation characteristic is presented. The filter has an nth order voltage transfer function with m pairs of transmission zeros in the stopband, where
n \geq 2 m + 1
. Butterworth and inverse Chebyshev filters are special cases of this general class with
m = 0
and
n = 2m + 1
, respectively.