By Allan Waters (auth.)
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Additional info for Active Filter Design
4 is the recommended design procedure to follow, since the low-pass coefficients b 0 , b 1 are readily available from printed tables of data. 13. Obtain the component values necessary to satisfy the requirement. The response will be Chebyshev having a ripple width of 3 dB and a highfrequency gain of 20 dB. 708.
At 2kHz A max= 10loglo ( 1 +(w:) 2 n) = 10log 10 (1 + 14 ) = 3 dB for w = We Amm = 10logto(1 +C~r)=40dBforw=ws The filter will therefore perform exactly as required by the design. LF. Here fc =2kHz giving C1 = C2 = 10/(2 x 103 ) = 5 nF. 10 with its response. 2 It should be pointed out that an adjustment to the scaling may be made in order that realistic values of resistors and capacitors may be achieved. F It can be seen that with a larger value of capacitor, the resistor values are more realistic.
11 Gain/phase responses for second-order VCVS filter An insight into the action of the filter may be obtained by noting that at low frequencies the reactances of C1 and C2 are high and the signal is applied via resistors R 1 and R 2 with negligible attenuation. At higher frequencies the reactances of C 1 and C2 are lowered significantly. Capacitor C1 shunts a proportion of the input signal to ground, thereby reducing the potential at node b, while C2 feeds back a proportion of the output to node a with a corresponding rise in nodal potential.
Active Filter Design by Allan Waters (auth.)