Tutorial Questions: OTA-C Filters 1. Draw an OTA-C lossy integrator circuit and derive its transfer function. 2. A two integrator loop OTA-C filter circuit is shown in the figure below. 92 Vo 9 H 91 93 C₁ 555 V01 HH a) Derive the transfer functions HLP(S)-Vol/V; and HBP(S)-Voz/Vi. b) Determine the angular frequency and quality factor Q, and the lowpass gain KLP and bandpass gain KBP. c) Assume that C₁-C2-C and gi-g-g. Derive the design formulas for the band pass filter using equations in b), assuming that o, Q, and KBP are known. d) Given fo =4MHz, Q-5 and KBP-2, calculate the component values using the formulas derived in c). e) Explain why this circuit has low parasitic capacitance effects. 3. Draw a circuit using two OTAs and one capacitor to simulate a grounded inductor and derive the equivalent inductance in terms of the transconductances and capacitance.