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For linear simulation use S-Parameter model (S2P) of that transistor for that operating point. Do not use the nonlinear model.
Missing drain inductor, wrong width of bias line
If you want to do nonlinear analysis, see ADS help. And check transistor model parameters. Also check your bias and DC operating point. Your 0.4V supply voltage looks wrong, there seems to be a misunderstanding bias voltage in the paper.
Your Nonlinear model is not correct and this transistor is obsolete.
If I were you, I use more recent part ( CE3512K2) for its equivalent and request nonlinear model from Modelithics.If you're a student, Modelithics will probably supply quite accurate model of this transistor so you will able to do your simulations in a certainty.
1. ADS doesn't have the S parameter model of this transistor probably. Any document or reference guideline for this kind of design would be helpful.
2. How to find out what should be exact bias voltage, authors didn't reply.
3. I am supposed to model this circuit and produce exact graph before simulating in different freq. Any suggestion or guideline would be very helpful.
There are many examples included with ADS.
Start with examples on S-parameter simulation (linear simulation, S-parameter models at one specific operating point, no bias or supply voltage required in simulation)
Also search for "ads circuit design cookbook"
Authors specify 30mA drain current, set the gate voltage as required for 30mA. Use voltage and current probe in ADS. There is also a DC curve tracer template in ADS.
But that is for non-linear simulation. Make sure to understand linear (S-parameter) simulation where the S2P transistor model has built-in the response at one specific bias. We don't need bias or supply sources in linear simulation with "S-Paramter simulation" controller.
From 20 years experience in simulation: It often happens that published simulation results cannot be reproduced because some detail in the paper is wrong or missing (by mistake or on purpose).