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Why is the impedance of this cross-coupled MOSFET -1/gm?

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genxium

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This is a figure I encountered in this article: **broken link removed**, I calculated the impedance in this way and I got -2/gm, is there anyone can give me a hand? I think maybe I misunderstood something,some concepts about "impedance for port".

My calculation

For ideal NMOS FET, Ig=0, hence denote the voltage difference applied on d1,d2 is \[V\], and the corresponding current is \[I\], then

87_1316832046.png


Hence the equivalent impedance for this component combination is Z=V/I=-2/gm.

PS: Seems Latex doesn't work well in this forum, could someone tell me why I got a compiled failed even for a subscript inside the \[ and \] tags?

18_1316832219.png
 

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