Hi Luckybuilding, I don’t know your speciality if it is physics or Electronics, I will give you a matlab code that help you to plot this kind of figure and if there is any explanation do not hesitate asking me, ok
At first from your definition of a chaotic signal I have understand that is a king of random signals.
Firstly, if you say a phase Domain of a signal or of a number we understand by it that this one is a complex number (Phase exists only in complex numbers).
Secondly, I think that you mean by Phase Domain, the phase of the Spectral Domain. Coz there is no phase Domain; there are Time Domain and Frequency Domain (known as Spectral Domain). The Spectral Domain is the Fourier Transform of a signal and the Phase of this one is simply the phase of the Fourier transform evaluated by the FFT Algorithm in the case of matlab.
We declare a random signal in matlab by the randn function and this code is:
Sig=randn(1,100); % 100 point of a random variable following the Gaussian Low.
We Compute the fourier transform using fft at 100 point:
Spec=fft(Sig) ;
And the phase of it Spectra is computed using the angle function (Coz Spec is a complex vector):
Phase=angle(Spec);
We plot the result by:
plot(Phase);
And if you wish that the plot seems like the one you attached in the pointcare picture
stem(phase,'LineStyle','none');
And about the 3D phase representation, you should find an other variable to plot 3D. Explain it more and I can do 3D plot using matlab.
I wish I helped you, and if there there other explanation I am hier.
I have a question if you allow it. Are you a student in post graduation, or graduation and from where
Think you