What Are the Two Types of Threshold Voltage (Vth) in MOSFETs?

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The discussion centers on the two types of threshold voltage (Vth) in MOSFETs, specifically in the context of p-channel MOSFETs. It establishes that Vth is generally treated as a constant in simple models, although it may vary with gate voltage (Vg) in more complex models. The participants clarify that in simulation, the Id-Vg curve exhibits linear behavior in the linear region and squared behavior in saturation, aiding in the identification of these regions. Experimentally, determining the transition between linear and saturation regions requires iterative guessing of Vth based on observed Id-Vg characteristics.

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So apparently there are two types of Vth for a MOSFET
http://www.sdram-technology.info/threshold-voltage-measurement.html

How can I tell the saturation apart from linear?

Right now I am simulating a voltage sweep (on the Gate) of a transistor and the sim results give a saturation and a linear Vth. Now from what I understand saturation depends on whether the drain is higher than the gate by the threshold voltage. So how am I suppose to know if my drain voltage of -0.1V is higher than the Gate voltage by the threshold if my gate voltage is changing?

And my most general question...does Vth change with Gate voltage?

edit: Source is at 0V, and this is a pchannel mosfet
 
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I want to re-frame your question correctly,
How can I tell the saturation apart from linear, without prior knowledge of the Vth?

Well in simulation, Id-Vg in linear region will always be linear and in saturation it will be squared. So that's easy to tell.

In experiment, you may not know what's linear and what's saturation as you won't get perfect linear curve in linear region avoiding measurement errors. Here you have a guess of Vth and determine linear and saturation. Again take the result Vth as new guess and do the experiment. After two iterations, I think you will know the regions correctly.

Simple answer is no. Vth is defined as a constant parameter in simple models. However, in higher models in may be dependent of Vg. Also note that the part below Vth in Id-Vg graph will be exponential.
 

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