The very flexible circuit shown in Fig. 2.49 is called a biquad because its transfer
Chapter 2, Problem 2.16(choose chapter or problem)
The very flexible circuit shown in Fig. 2.49 is called a biquad because its transfer function can be made to be the ratio of two second-order or quadratic polynomials. By selecting different values for Ra , Rb , Rc , and Rd , the circuit can realize a low-pass, band-pass, high-pass, or band-reject (notch) filter. (a) Show that if Ra = R, and Rb = Rc = Rd = , the transfer function from Vin to Vout can be written as the lowpass filter where (b) Using the MATLAB command step, compute and plot on the same graph the step responses for the biquad of Fig. 2.49 for A = 1, n = 1, and = 0.1, 0.5, and 1.0.
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