By Allan Waters (auth.)
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Additional info for Active Filter Design
16) we obtain which may be written boR? 17) So far we have normalised the capacitors C 1 , C2 and obtained the normalised values for the resistors R 1 , R 2 • We now have to obtain values for the gain resistors R 3 , R 4 for the good circuit design condition of minimum de offset. 8 shows the re-drawn circuit for the de condition where the capacitors are now represented by open circuits. 8 DC condition for second-order low-pass filter giving R =K -1 =K(R1 +R 2 ) R3 - 4 hence We now have all the necessary information to enable a complete design to be achieved.
A Butterworth low-pass filter has the following specifications: pass band up to 100 Hz with 3 dB of loss, stop band to be at least 80 dB down at 1 kHz. Calculate the order of the filter, the roots of the Butterworth polynomial, and the values of the pass-band and stop-band loss. [Ans. 2. Obtain the normalised Chebyshev coefficients for a fourth-order, 1 dB ripple width, low-pass filter. [Ans. 3. 5 kHz. Calculate the order of the filter and the Chebyshev polynomial. Check also the values of the pass-band and stop-band loss.
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.