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calculate impedence of input

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dinosaur078

dinosaur078

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dear everybody
i want calculate the input impedance (= Vx/Ix) of this topology , this is 1 problem in prof razavi's book , the requirement is sketch Ix versus Vx , that why i want to obtain equation of the input impedence, could you please help me ?
many thanks in advance

123.jpg
 

Dear jeffrey samuel
i draw the small signal model and apply the KCL , KVL but i can't find the final equation , could you please help me more clearly
 

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