This block implements an analog Nth-order Butterworth filter with unit DC gain and varying cut-off frequency. The "freq"

[esmatparast]

This block implements an analog Nth-order Butterworth filter with unit DC gain and varying cut-off frequency. The "freq" port takes the value of the cutoff frequency in rad/s.

This block implements a digital Nth-order Butterworth filter with unit DC gain and varying cut-off frequency. The Tustin method is used to discretize the analog filter formula. The "freq" port takes the continuous-time value of the cut-off frequency in rad/s. \n\nDiscretization can shift the cut-off frequency when close to the Nyquist frequency. To ensure that the analog and digital filters have matching frequency response near the frequency w0, set the pre-warping frequency to w0. The default value w0=0 corresponds to the usual bilinear transformation: \n\ns = 2/Ts (z-1)/(z+1).

This block implements a continuous-time notch filter with varying coefficients. The input ports "freq", "gmin", and "damp" take the values of the notch frequency, gain at the notch frequency, and damping ratio of the filter's poles. \n\nThe filter has unit gain at low and high frequency. The gain is lowest at the notch frequency "freq" (in rad/s). The minimum gain "gmin" controls the notch depth while the damping ratio "damp" controls the notch width. \n\nThe filter's instantaneous transfer function is \n\n s^2 + 2 * gmin * damp * freq * s + freq^2 \nN(s) = -------------------------------------------------------- \n s^2 + 2 * damp * freq * s + freq^2

This block implements the Tustin discretization of a continuous-time notch filter with varying coefficients. The continuous-time values of the notch frequency (in rad/s), minimum gain, and damping ratio are fed to the input ports labeled "freq", "gmin", and "damp", respectively. \n\nDiscretization can shift the notch frequency when close to the Nyquist frequency. To ensure that the continuous and discretized filters have matching frequency response near the frequency w0, set the pre-warping frequency to w0. The default value w0=0 corresponds to the usual bilinear transformation: \n\ns = 2/Ts (z-1)/(z+1).


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