create a code to identify linear and non-linear processes in space plasma turbulence in matlab

One approach to identifying linear and non-linear processes in space plasma turbulence is to use wavelet decomposition. Here is some example code in MATLAB:

main.m
% Load data
load plasma_data.mat   % replace with your own data

% Calculate wavelet transform
[s, f, t] = spectrogram(data, window, noverlap, nfft, sampling_rate);   % choose appropriate parameters
p = abs(s).^2;   % calculate wavelet power

% Identify linear and non-linear processes
threshold = median(p(:));   % adjust threshold as needed
linear_power = mean(p(p <= threshold));
nonlinear_power = mean(p(p > threshold));
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This code loads the plasma data and calculates the wavelet transform using the spectrogram function. The wavelet power is then calculated from the complex wavelet coefficients using the absolute value squared. Finally, a threshold is set based on the median wavelet power, and the average power below and above the threshold is calculated to identify linear and non-linear processes.

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