Frequency Filters | NanoElectronics

Parameters

Mode

Approximation (filter family)

Filter type

Order N

Ripple (Chebyshev) [dB]

Bandwidth (BP/BS) [ω/ω₀]

1. Which approximation gives the flattest passband magnitude, without ripple?

A. Butterworth

B. Chebyshev I

C. Bessel

D. All are identical

2. Which approximation is chosen when preserving signal shape (minimal step-response overshoot) is critical?

A. Chebyshev I

B. Elliptic (Cauer)

C. Bessel

D. Butterworth

3. How much does the asymptotic rolloff steepness increase if the filter order is doubled (from N to 2N)?

A. Doubles (e.g., from 40 to 80 dB/decade)

B. Stays the same

C. Quadruples

D. Decreases

4. How is a band-pass filter obtained from a low-pass prototype?

A. By the frequency transformation $s\to(s^2+\omega_0^2)/(sBW)$ — which doubles the effective order

B. By simply cascading two independent filters, without any transformation

C. By exchanging temperature

D. This is impossible — a band-pass filter must be designed separately