A modified low-pass filter with progressively diminishing ripples

A modified low-pass filter functions are proposed. A modified inverse Chebyshev function possesses progressively diminishing ripples in the stopband whereas the modified Chebyshev function exhibits ripples diminishing toward ω = 0 in the passband. Both are realizable in the doubly-terminated ladder structures for the order n even or odd, thus lending themselves amenable to high-quality active RC or switched capacitor filters through the simulation techniques.