Monotonic

Meaning of monotonic in context of filters?

Meaning of monotonic in context of filters?
  1. What is a monotonic signal?
  2. Which of the following filters has a monotonically decreasing frequency response?
  3. Which of the following filter is having a monotonic passband and monotonic stopband?
  4. Which of the following filter has the fastest roll-off?

What is a monotonic signal?

Q: What does monotonic mean? It means that the input/output transfer function of a converter (or other component, or of the overall channel) may be imperfect, but the curve never reverses direction. A monolithic converter is one where the output increases with increases in input, and never decreases (and vice versa).

Which of the following filters has a monotonically decreasing frequency response?

Smooth response at all frequencies. Monotonic decrease from the specified cut-off frequencies. Maximal flatness, with the ideal response of unity in the passband and zero in the stopband.

Which of the following filter is having a monotonic passband and monotonic stopband?

Detailed Solution. Butterworth Filter: The frequency response of the Butterworth filter is almost flat having no ripples in the passband and rolls off towards zero in the stopband.

Which of the following filter has the fastest roll-off?

There is, however, an important design called the elliptic filter, which has ripple in both the passband and the stopband. Elliptic filters provide the fastest roll-off for a given number of poles, but are much harder to design.

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