We know that First derivative of drain current (ID) with gate voltage (VGS), is known as gm. It is one of the important qualities of device for circuit applications. However circuit designer commonly interested in Second and higher derivative of drain current (ID) with gate voltage (VGS).
What is Significance of second and higher derivative of drain current (ID) with gate voltage (VGS)?
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Why, circuit designer also interested in second and higher derivative of drain current (ID) with gate voltage (VGS)?
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What information provide second and higher derivative of drain current (ID) with gate voltage (VGS) ?
Please explain.
primarily, if you want to make a large signal analysis, you must go beyond linear approximation, which means gm is constant. It is needed for transient analysis. You can study nonlinearity applications like mixing, harmonic generation also.
Higher order gm’s are very important for linearity analysis of the circuit. These are much more important for applications like mobile communications where mobile receivers are extensively analyzed and designed for high linearity. There are numerous closely existed bands, nearby unwanted bands also get processed with desired ones only because of higher order gms. To make the circuit work in real time environment, higher order gms have to be suppressed.
I fully agree with Vinay. You can check this paper for your reference. http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=7030435&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D7030435
S K Mohapatra , I was not able to open the article link you provided. Is it possible to please repost the updated link?
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