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What is the difference between a band reject filter and a notch filter?

MIT 6.002 Circuits and Electronics, Spring 2007
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In signal processing, a band-stop filter or band-rejection filter is a filter that passes most frequencies unaltered, but attenuates those in a specific range to very low levels. It is the opposite of a band-pass filter. A notch filter is a band-stop filter with a narrow stopband (high Q factor).
on what parameters Q relies upon? and is it true that a notch filter is a limiting case of band stop filter?
\[Q=\omega0/\beta \]

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Other answers:

where \[\omega0\] is the central frequency
and beta is the band width
band reject filter as the name suggests .. rejects a band and notch filter is used to select a particular frequency and nt a band

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