Among Butterworth, Chebyshev Type 1, Chebyshev Type 2 and Elliptic filters, identify which type or types of lowpass filter have the characteristic described.
(a) Magnitude frequency response in the passband monotonically approaches a slope of zero at zero frequency. (Monotonic means "always moving in the same direction". That is, always moving up or always moving down or "not rippling".)
(b) Magnitude frequency response in the stop band monotonically approaches zero as frequency approaches infinity.
(c) Fastest transition from passband to stopband for a given filter order.
(d) Slowest transition from passband to stopband for a given filter order.
(a) Magnitude frequency response in the passband monotonically approaches a slope of zero at zero frequency. (Monotonic means "always moving in the same direction". That is, always moving up or always moving down or "not rippling".)
Butterworth and Chebyshev Type 2
(b) Magnitude frequency response in the stop band monotonically approaches zero as frequency approaches infinity.
Butterworth and Chebyshev Type 1
(c) Fastest transition from passband to stopband for a given filter order.
Elliptic
(d) Slowest transition from passband to stopband for a given filter order.
Butterworth
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