Input impedence to see the effect of Miller effect

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vinanalog

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See the schematic attached. Since the amplifier is having a a negative gain at dc, I am expecting the real part of my input impedance as positive,through miller approximation. But cadence simulation gives a negative value for the real part of input resistance(or it gives a phase of 180 degrees at dc) Wy so?
 
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A single-stage common-source amplifier always has a inverted output (phase of 180 degrees) at DC or low frequencies. That gives a negative (inverted) gain.
 

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