how to estimate the phase parameter of a complex function?

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how to estimate the phase parameter of a complex function

There is a complex serie: $f(t_n)=\alpha_n+\beta_n i$, for $n = 1,...,N$,$t_n,\alpha_n$ and $\beta_n$ are known.When we have know that $f(t)$ has the following form: $$f(t)=Ae^{-iBt}$$ with unknown amplitude $A$ and unknown phase $B$, how to estimate the parameters $A$ and $B$ by using a numerical optimization method?

Answer:

As written by Martín-Blas Pérez Pinilla, let us suppose that you want to find the optimum values of...

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