problem

[zessi10]

 Hi, After reading your paper （New theoretical insights in the decomposition and time-frequency representation of nonstationary signals: the IMFogram algorithm）. I find that the code reproduces the result of the Time-frequency representation of nonstationary signals:the IMFogram
 May I ask how section 4.1 of the article（New theoretical insights in the decomposition and time-frequency representation of nonstationary signals: the IMFogram algorithm） is reproduced and how the parameters are selected.

[Acicone]

Dear zessi10,
To produce results shown in Section 4.1 of the paper https://arxiv.org/pdf/2205.15702.pdf
first, we used the classical Euler scheme to produce the solution of the Undamped Duffing equation (18) with parameters alpha = −1, beta = 1, gamma = 0.1, and omega = 1.
the sapling rate in our case was 10 points per second.
Then we used FIF algorithm to decompose the x' solution.
Finally, we obtained the IMFogram of the IMFs produced via FIF.
As parameters in the IMFogram we used:
winOverPerc = 80
IFint = [0 1.8]
NIF=100
winLen = 10

[zessi10]

Dear zessi10, To produce results shown in Section 4.1 of the paper https://arxiv.org/pdf/2205.15702.pdf first, we used the classical Euler scheme to produce the solution of the Undamped Duffing equation (18) with parameters alpha = −1, beta = 1, gamma = 0.1, and omega = 1. the sapling rate in our case was 10 points per second. Then we used FIF algorithm to decompose the x' solution. Finally, we obtained the IMFogram of the IMFs produced via FIF. As parameters in the IMFogram we used: winOverPerc = 80 IFint = [0 1.8] NIF=100 winLen = 10

Dear Professor, Thank you for your reply. May I also ask what are the initial conditions for the undamped Duffing equation and what are the parameters 'alpha', 'NumSteps', 'ExtPoints', 'NIMFs' of the FIF algorithm? Also, what are the parameters of the FIF algorithm and IMFogram in section 4.2 of the paper?

[Acicone]

May I also ask what are the initial conditions for the undamped Duffing equation and what are the parameters 'alpha', 'NumSteps', 'ExtPoints', 'NIMFs' of the FIF algorithm?

In the settings I modified only the parameter
'NIMFs' = 1
'alpha' = 100
'Xi' = 1.5
all the others are left to the default values.

Also, what are the parameters of the FIF algorithm and IMFogram in section 4.2 of the paper?

For the vibrato example I consider the signal at https://en.wikipedia.org/wiki/File:Violin_vibrato_on_open_string_notes_and_on_fingered_notes.ogg
in the time interval [4, 7.5] seconds.
For FIF I set
Settings_FIF_v3('alpha',30,'NumSteps',5,'ExtPoints',25,'NIMFs',100)
Whereas for IMFogram I set
IMFogram_v1(IMFs,fs,90,[0 2.5e3],300,150)