Modulation index for two vectors

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Sparsha Kumari 2022-6-24

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回答： Nithin Kumar ，2023-9-1

Hello,

I have two column vectors (representing two waves) and have to calculate the modulation index for each vector. Both the vectors are real and are EEG signals. Could someone suggest me how to proceed?

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Answer 1

Nithin Kumar 2023-9-1

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Hi Sparsha,

I understand that you want to find the modulation index of two real and EEG signals.

To calculate the modulation index for each vector representing EEG signals in MATLAB, kindly refer to the following sample code:

1. Calculate the analytic signal for each EEG vector using the Hilbert transform.

       analytic_signal1 = hilbert(signal1);
       analytic_signal2 = hilbert(signal2);

2. Compute the instantaneous phase and amplitude of the analytic signals.

       phase1 = angle(analytic_signal1);
       phase2 = angle(analytic_signal2);
       amplitude1 = abs(analytic_signal1);
       amplitude2 = abs(analytic_signal2);

3. Calculate the modulation index.

modulation_index = (abs(amplitude1 - amplitude2)) ./ (amplitude1 + amplitude2);

I hope this answer helps you.