I can recommend this very good free online Coursera course on MOSFET modelling :

https://www.coursera.org/learn/mosfet/home/welcome

Dear Friends,

              I need answer for my posting question #1

Perhaps it will help a bit

Josef Punčochář

Dear Sir,

               I am sorry to say that  it is little helpful. I didn't get answer to my question from that pdf document.

I am afraid that your documentation does not describe the problem which to be solved enough .

Dear Josef Puncochar Sir,

                         OK, I will give the full details of my equivalent circuit.  I need to find out the Gain (Av) Equation for the my Equivalent circuit. I have derived the gain equation for my equivalent circuit.

            I have specific doubt on the Vg equation to my equivalent circuit.

            I have derived myself for the gain equation for my equivalent circuit. It would be lot of helpful for me to go through once my derived gain equation for my equivalent circuit and tell suggestion, Where I have to make modification and get the correct gain equation for my equivalent circuit.

           Here with, I attached the entire gain equation and also my equivalent circuit. I request you to go through all the steps in my gain equation and request you to give suggestion for mistakes and corrections to obtain correct gain equation.

           I would be grateful to you, if you help  me to obtain correct gain equation.

What is: ins; ig; ino; id? Is Your model right? What is input signal - ins? I am afraid Your Vg is too "simple". Your AV is not right - must be "dimensionless", and is infinite for zero frequencies.

Dear Josef Puncochar Sir,

ins - Thermal noise of the source resistance

ino- Thermal noise of the output resistance

ig- Gate induced current noise

id- Thermal noise by channel current

 Yes my model is correct.

Those ins, ino, ig, id are not required for calculating Gain equation, those are required for the Noise Figure Calculation of Low Noise Amplifier.

 I request you to help me get correct gain equation for the above attached Equivalent circuit.

Are you sure by Lf position - it represents DC short connection!

Sending a system of equations; after appropriate editing, you can determine everything you need. It takes a little work. :-))

Dear Josef Puncochar Sir,

                       Thank you for your elaboration explanation on determining gain equation of mine Equivalent circuit.

                        I am sorry to trouble you that I am not familiar with nodal voltage analysis. Can you give final Voltage gain equation from your voltage nodal analysis to my equivalent circuit.

                        I am very much grateful to you.

And the next thing you have to yourself. Perhaps with the help of a  mathematician.

:-))

Dear Josef Puncochar Sir,

                        Thank you for your elaboration explanation and priceless help.

I wish you much success and theory to your problem can largely be found in my book, of course, and elsewhere.

Book Theory of electronic circuits

Dear Josef Puncochar Sir,

                        Thank you very much for showing concern towards to me. I am very much grateful to you.

              Last one more question is there. I have derived the input impedance for equivalent circuit discussed previously, I have found as follows. Can you tell me whether it is correct or not. If it is not correct, what I have to remove and what I have I have to add it, can you suggest it. I am sorry for troubling you.

 a guide see attachment, It can turn a lot of work, so it's just a guide.

Basic control can be obtained from the limit situations. It means zero frequency and infinite frequency!

And I have to go back to the question: if Lf is connected correctly?

Normally, the DC input impedance is virtually endless. But what about Lf?

For infinite frequenci must dominate Lg.

Good luck

Josef Punčochář