Examples of Estimating $\alpha$ by Model Inversion

We now apply our algorithms to the problem of estimating $\alpha$ for various types of signals. We begin with linear chirps, including those where the small size of $\alpha$ invalidates the model. Next, we use the same algorithms on monotonic nonlinear frequency function signals, and observe near-optimal results in the least-square sense. Finally, we apply the algorithm to nonmonotonic nonlinear frequency functions.