I got a circuit design assignment that I have no clue at all about it. I have to design a time-invariant circuit that provides input-output characteristic as shown in the image below,

The design problems are specified below:

- continuous-time, memoryless, time-invariant circuit
- The design uses MOS (ALD1101, ALD1102, IRF510, IRF9510)
- The characteristic need not be a sinusoidal function.
- Uses 1-V supply
- The challenge is to maximize the swing V_0

Really I have no clue at all about this problem. The only approach that crosses my mind is to implement time-invariant system y(t) = sin(x(t)). But, I am sure that it is not the solution to the problem.

Your time and help will be greatly appreciated.

Mod: moved to Homework