1. Determine transfer function of the following system where v.(t) is the output of the system
and i(t) is input of the system
Answers
Answer:
The analytic model for the eigenfunctions of underspread linear operators shown in this article, although approximate, shows that the energy of the system eigenfunctions is mainly concentrated along curves coinciding with level curves of the system transfer function. This property, for whose validation the analysis of the system eigenfunctions' TFD plays a fundamental role, gives a general framework for interpreting some current data transmission schemes and, most importantly, gives a new perspective on the optimal waveforms for transmissions over time-varying channels.
Pictorially speaking, if we draw a parallelism between time-frequency representations and musical scores, we may say that the eigenfunctions of underspread systems give rise to a polyphonic texture which reduces to monophonic lines only in the simple case of systems whose spread function is concentrated on a straight line. In the most general case, we have a polyphony of ascending and descending melodic lines which run in order to create bubbles whose shape is dictated by the contour lines of the system transfer function.