MATLAB Hilbert Transform for Envelope Spectrum Analysis

In signal processing applications, we can utilize MATLAB's Hilbert transform to compute the envelope spectrum of a signal. The Hilbert transform is a widely used method in signal processing that helps analyze amplitude variations of signals. By applying this transform, we can obtain the envelope spectrum, which provides better insights into signal characteristics and variations. Below is an example source code implementation with technical explanations:

% Define input signal x = ...; % Replace with your actual signal vector % The Hilbert transform converts real signal to analytic signal % using hilbert() function which returns complex result h = hilbert(x); % The envelope spectrum is obtained by taking absolute value % of analytic signal using abs() function envelope_spectrum = abs(h); % Plot the envelope spectrum using plot() function % for visual analysis of amplitude modulation characteristics plot(envelope_spectrum);

By implementing this code, you can perform Hilbert transform on your signal and calculate its envelope spectrum. This approach facilitates deeper analysis of signal features and temporal variations through amplitude demodulation technique.