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Notch Filter Design || 7+ Important Design Types & Techniques
https://lambdageeks.com/notch-filter-design/#:~:text=Q%20or%20Quality%20Factor%20of%20a%20Notch%20filter,gives%20an%20idea%20of%20sharpness%20of%20the%20depth.
EQ bandpass filter: Q factor and bandwidth
http://jdm12.ch/Audio/EQ_BPF-Q-bandwidth.asp
Q = SQRT(POWER(2;N))/(POWER(2;N)-1) Thanks to SengpielAudio explanations and useful calculators: Bandwidth in octaves to Q factor (filter) conversion and vice versa Q Factor and filter center frequency - Find -3 dB cutoff frequencies. See also RaneNote 170 (2008) by Dennis Bohn: Bandwidth in Octaves Versus Q in Bandpass Filters
Q factor vs bandwidth in octaves band filter -3 dB pass ...
http://www.sengpielaudio.com/calculator-bandwidth.htm
Calculation. Filter conversion: 'bandwidth in octaves' Nto quality factorQ. and Qfactor to 'bandwidth in octaves' N(octave width) Q= f0/BW. BandwidthBW = f2− f1= f0/Q EqualizerEQ bandpassfilter. Q factor = quality factor Bandwidth BWof a filter band f0= Center frequency.
Parametric Equalizer "Q" Definitions and Bandwidth
https://www.andyc.diy-audio-engineering.org/parametric-eq-parameters/index.html
We'll look at a PEQ filter having a center frequency f0 and a gain A0 at the center frequency. The transfer function H ( s) of this PEQ filter in terms of Qp (the pole Q) can be written as: where ω0 = 2π f0 and the gain in dB at the center frequency is A0 (dB) = 20 * log10 ( A0 ).
Bandwidth in Octaves Versus Q in Bandpass Filters
http://www.nu9n.com/images/Octaves_vs_Q.pdf
When first designing an audio filter, normally the required BW in octaves is known and the associated Q needs to be calculated; once the filter has been de-signed than Q is easily calculated by measuring the -3 dB frequency points, taking the difference, and dividing that into the center frequency; and lastly, the BW in octaves is then calculated.
Does Q-Factor matter for low pass and high pass filters ...
https://electronics.stackexchange.com/questions/221887/does-q-factor-matter-for-low-pass-and-high-pass-filters
Q-factor can also be reduced to make a maximally flat pass-band (aka a butterworth filter). The picture goes on to explain where the pole zero diagram comes from and how you can relate natural resonant frequency (\$\omega_n\$) with zeta (\$\zeta\$).
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