MATLAB Implementation of Local Mean Decomposition (LMD) Algorithm

The LMD (Local Mean Decomposition) algorithm is a method for locally smoothing and decomposing signals. Through LMD decomposition, signals can be broken down into multiple hierarchical waveforms, where each waveform represents components of different frequencies. This enables better understanding of both frequency-domain and time-domain characteristics of signals. The MATLAB implementation typically involves calculating local mean functions and envelope estimates through iterative smoothing processes, using functions like movmean or smoothdata for local averaging. The algorithm allows users to freely select the number of decomposition levels according to their needs, providing more detailed decomposition results through controlled iteration cycles. By analyzing the decomposed waveforms, researchers can conduct in-depth studies of signal characteristics and structural properties. Key implementation aspects include envelope estimation using spline interpolation or Hilbert transform, and PF (Product Function) component extraction through demodulation processes.