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  2. Cutoff frequency - Wikipedia

    en.wikipedia.org/wiki/Cutoff_frequency

    The cutoff frequency is the critical frequency between propagation and attenuation, which corresponds to the frequency at which the longitudinal wavenumber is zero. It is given by ω c = c ( n π a ) 2 + ( m π b ) 2 {\displaystyle \omega _{c}=c{\sqrt {\left({\frac {n\pi }{a}}\right)^{2}+\left({\frac {m\pi }{b}}\right)^{2}}}} The wave equations ...

  3. Bode plot - Wikipedia

    en.wikipedia.org/wiki/Bode_plot

    The red data curve is approximated by the straight black line. Figure 1B: Low-pass filter (1st-order, one-pole) Bode magnitude plot (top) and Bode phase plot (bottom). The red data curve is approximated by the straight black line. In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system.

  4. Butterworth filter - Wikipedia

    en.wikipedia.org/wiki/Butterworth_filter

    The cutoff attenuation for Butterworth filters is usually defined to be −3.01 dB. If it is desired to use a different attenuation at the cutoff frequency, then the following factor may be applied to each pole, whereupon the poles will continue to lie on a circle, but the radius will no longer be unity. [8]

  5. Roll-off - Wikipedia

    en.wikipedia.org/wiki/Roll-off

    For some filter classes, such as the Butterworth filter, the insertion loss is still monotonically increasing with frequency and quickly asymptotically converges to a roll-off of 20n dB/decade, but in others, such as the Chebyshev or elliptic filter the roll-off near the cut-off frequency is much faster and elsewhere the response is anything ...

  6. RC time constant - Wikipedia

    en.wikipedia.org/wiki/RC_time_constant

    where resistance in ohms and capacitance in farads yields the time constant in seconds or the cutoff frequency in hertz (Hz). The cutoff frequency when expressed as an angular frequency ( ω c = 2 π f c ) {\displaystyle (\omega _{c}{=}2\pi f_{c})} is simply the reciprocal of the time constant.

  7. Center frequency - Wikipedia

    en.wikipedia.org/wiki/Center_frequency

    In electrical engineering and telecommunications, the center frequency of a filter or channel is a measure of a central frequency between the upper and lower cutoff frequencies. It is usually defined as either the arithmetic mean or the geometric mean of the lower cutoff frequency and the upper cutoff frequency of a band-pass system or a band ...

  8. Chebyshev filter - Wikipedia

    en.wikipedia.org/wiki/Chebyshev_filter

    However, non-standard cutoff attenuations may be accommodated by calculating the target values in step 5 to be offset from the required 1 that exists at the cut-off frequency of =, including a () denominator as part of the derivative constant that includes transmission zeros, and inserting two reflection zeros instead of one in to the original ...

  9. Filter (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Filter_(signal_processing)

    Cutoff frequency is the frequency beyond which the filter will not pass signals. It is usually measured at a specific attenuation such as 3 dB. Roll-off is the rate at which attenuation increases beyond the cut-off frequency. Transition band, the (usually narrow) band of frequencies between a passband and stopband.