Periodogram and Spectral estimate

I want to implelent in matlab the function

φ(ω)=50π[δ(ω-0.2*2π)+δ(ω+0.2*2π)]+12.5π[δ(ω-(0.2+1⁄(N)*2π))+δ(ω+(0,2+1⁄(Ν)*2π)]+1)

where φ(ω) is the spectrum of a sequence.

What is the value i must give to the ω?

[Wick]

Can you please clarify? It appears to me φ is a function of ω and N. So you don't need to give ω a value, it would be part of the function call. Something like:

function phi = periodogram(omega, N)

You'd have to call the function with ω in radians but other than that, it should work for just about any ω and any N. If you want to limit yourself to integer N >=0, e.g., you'll have to add that filtering as well.

Does this answer your question or can you clarify what you're looking for?

Answer 1

[Honglei Chen]

Omega is your frequency. From the equation, it could be the angular frequency so it would be from -pi/T to pi/T where T is your sampling interval (or -pi*fs to pi*fs where fs is the sampling frequency).

HTH