- Question 1 C04 Po5 30 Marks Ra Vout L Figure 1 Vcvs Low Pass Filter The Transfer Function Of The Second Order Vcvs 1 (155.08 KiB) Viewed 36 times
Question 1 C04, PO5 – 30 Marks] RA Vout L Figure 1. VCVS low-pass filter. The transfer function of the second-order VCVS low-pass filter of Figure 1 is given as: Kbw G(s) = s+aws +bw and 2 R = {aC2 + a2 + 4b(K-1)C3 - 46C,)} R2 = - BG, GR, WE K(R+ R) R3 (K-1) R = K (R+R) Given capacitance values C1 = C2 = 0.01 uF =10® F. The coefficients for Butterworth low-pass filter designs are shown as in Table 1 below. K1 Table 1. Coefficients for Second and Fourth Order Butterworth Low-pass Filter Designs Order 2 a b a: b. 1.41421 1.000 0.76537 1.00 1.84776 1.00 4 az b2 ki Tuy Cucony tre) (b) Analyze the plot in terms of its attenuation and find its gain in dB. (5 Marks) (c) Produce the Bode magnitude and phase plots for a two-pole Butterworth low-pass filter using Matlab's bode function in rad/sec. [5 Marks) (d) Produce the Bode magnitude and phase plots for a two-pole Butterworth low-pass filter using Matlab's bode function in Hertz. [5 Marks) Submit your work with the codes you use in MATLAB and along with the plotted graphs.