I computed spectrum analysis of sine wave (without windowing and zero-padding) and I got plots as follows:
As far as I know they are correct. When I learnt about DSP, I got the huge problem with understanding what is the phase spectrum. Recently I realised that "phases" are translations along time axis of each sinusoidal component. So I don't see any point to get them out of range $\langle -\pi, \pi \rangle$. I computed my spectrums with python and to get the phase spectrum I used unwrap function from numpy. As I understand this documentation correctly, it is impossible to get the result larger than $\pi$ or less than $-\pi$ unless I set the
discount parameter. It does make sense for me.
Could you explain me:
whether I understand the phase spectrum correctly?
why the values of phase spectrum are out of range $\langle -\pi, \pi \rangle$?
how does the function