# Homework Help: Spectral Factorization Help

1. Apr 16, 2012

### RoshanBBQ

1. The problem statement, all variables and given/known data
I have $$\frac{5}{4}s_x(f)+s_x(f)cos(2\pi f t_0) + 10$$
where s_x is 2 between f = -10khz to 10 khz else zero (a rectangle).

How do I do spectral factorization when the equation is not in terms of a polynomial of f? All material I can find on this topic have the thing needing to be factorized conveniently in a polynomial of f.

Do I have to do convolution in the frequency domain to represent the multiplication of a unit step in the time domain? If so, the tau = 0 case results in division by zero, and that seems really messy. Let's hope I can avoid that method.