Filters — do they pass all frequencies?

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
Filters are designed to selectively pass certain frequency ranges while attenuating others. This item checks a basic definition that underlies audio, RF, and signal-processing practice.


Given Data / Assumptions:

  • Filter categories include low-pass, high-pass, band-pass, and band-stop (notch).
  • Real filters have finite roll-off and non-ideal ripple or phase characteristics.


Concept / Approach:
By definition, a filter does not pass all frequencies equally; it shapes the spectrum. The passband is defined where gain is near unity (or specified level), and the stopband where signals are significantly attenuated.


Step-by-Step Solution:

Identify a low-pass example: passes frequencies below a cutoff fc; attenuates above fc.High-pass: passes above fc; attenuates below.Band-pass: passes between f1 and f2; attenuates outside.Band-stop: attenuates a narrow range while passing others.


Verification / Alternative check:
Examine a magnitude response plot (|H(jω)| vs. ω). You will see defined pass/stop regions, not a flat “all-pass” transmission unless a specific all-pass filter is intentionally designed (which still alters phase).


Why Other Options Are Wrong:

  • “True” would describe an ideal wire or unity buffer, not a filter. Even an all-pass filter modifies phase rather than passing all frequencies unchanged in every respect.


Common Pitfalls:
Equating “filter” with “removes noise” generically; correct design requires selecting the passband/stopband to match the signal and noise spectra.


Final Answer:
False

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