It's been many moons since I took any type of circuits course, but here is my first stab. I'm guessing for real impedance to vary with frequency it must be in parallel with some type of complex impedance. That would give this circuit (element values not important):



With this response:



Which is correct shape but upside down. I tried doing the algebra to solve for the complex impedance but it was a mess. I'm not sure where to go next.

And to answer your question, it is in computer architecture/reconfigurable computing.

And no it's not homework...