Wide frequency spectrum problem

[math771]

Hi there, it sounds like you are trying to analyze the behavior of a signal using MATLAB. It can be difficult to determine the exact behavior without knowing the equation, but here are a few things you can try:

1. Look at the autocorrelation function of your signal. This can give you an idea of how correlated the signal is with itself over time. If the autocorrelation function decays quickly, it could indicate white noise. If it has a long tail, it could be indicative of a chaotic behavior.

2. Try plotting the signal in different domains, such as time domain, frequency domain, and phase space. This can help you visualize the different components of the signal and give you a better understanding of its behavior.

3. If you have access to more data, try using different methods of analysis, such as wavelet transforms or power spectral density estimation. These can provide additional insights into the behavior of your signal.

Overall, without knowing the equation or having more data, it can be difficult to determine the exact behavior of your signal. But by using different techniques and examining the different components of the signal, you may be able to get a better understanding of its behavior. Good luck!

 

[_zeQ]

Hi all,

I am putting here my question since i think it has relation with the harmonic analysis.

I am using MATLAB to solve a difference equation and i am getting a pretty random oscillation in the result. The data FFT shows that i have a very wide spectrum of harmonics with not very much distinctive peaks.

My problem is how can i decide what kind of behavior i have here. The possibilities i have thought for my signal is to be white noise, chaotic behavior or that has a normal distribution(it looks like that but...)

Since there is not expression of the equation, and i have only its data how can we tell what kind of behavior we are dealing with?! I know that it is a huge chapter with many things to discuss but since i have only the above resources what can i do?

Thank you very much!

 

[fresh_42]

At least you have the input of your algorithm, the differential equations. You could try to draw a vector field from them, which should show in which direction to go.