UUUniversity of SSSouthern CCCalifornia USC Viterbi School of Engineering Ming Hsieh Department of Electrical Engineering EE 541: Solutions, Homework #06 Fall, 2010 Due: 11/02/2010 Choma Solutions−Problem #26: Five operational transconductors (OTAs) and several capacitors are interconnected as shown in the schematic diagram of Figure (P26). The filter realizes a voltage transfer func-tion, H(s) = Vo/Vi, that assumes the biquadratic form, ()2oo2innH1asbsVH(s).Vss1Qωω++==⎛⎞⎜⎟++⎜⎟⎝⎠+−−+G1G4−+G22Cx2Cx+−G32Cy2Cy+−Vo+−G5Vc1Vc4V C2V c3Vc52Cz2CzVi+−Figure (P26) (a).Using the modeling guidelines documented on Page #134of Lecture Aid #3, derive the ex-pression for the network transfer function. Specifically, derive relationships, in terms of network parameters, for the zero frequency gain, Ho, quality factor Q, self-resonant fre-quency ωn, and parameters aand b. Figure (26.1) displays a roadmap of node voltages and branch currents that are used to compile the relevant KVL and KCL equations of equilibrium for the subject biquadratic filter. For the current, Iy, conducted by the capacitances, (2Cy), in the filter diagram,
has intentionally blurred sections.
Sign up to view the full version.