Transform a discontinuous function to continuous form

Hi, I have a non-hermitian discontinuous function which looks as:

y(x) = sqrt(1/2) - e^(-2*i*x) *((sqrt(1/2)-(1/2)*cos(x) + (5^-28*x)*i)))

and because it is discontinuous in R given the the imaginary terms, I am wondering it there is any approach in MATLAB that can expand it as a series, or whether it can be transformed to be continuous in R?

Because it is quite complex, it is rather difficult to do a transform using Fourier on this, any suggestions are welcome!

Thanks!

Answer 1

[Elizabeth Reese]

There are a few transforms available in the Symbolic Math Toolbox, but I am not sure that they would show you continuity or not.

fourier

laplace

Z-transform

[Sergio Manzetti]

Thanks Liz!