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Logarithmic amplifier AC Analyses- open loop/DC closed loop

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pnanda65675

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Im trying to simulate the open loop ac analyses & closed loop dc gain for the logarithmic amplifier which been attached below. Im not pretty sure about Testbench that i should create. Plz advice. The testbench that i;ve tried is by giving a cap & vsin in series wif a big inductor value at the feedback. i can obtain about 50' phase margin...but im not sure about how to achive a closed loop gain for this...since its a log amp, am i need to divide Vout/ ln Vin(feedback) ? Plz advice
 

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