Explore MATLAB source code curated for "Hilbert变换" with clean implementations, documentation, and examples.
Mirror extension of signal endpoints can be used to eliminate edge effects caused by Hilbert transform. This technique involves replicating signal segments symmetrically at both ends to create seamless transitions for improved spectral analysis.
Application Background: Empirical Mode Decomposition (EMD) decomposes signals into monocomponent signals called Intrinsic Mode Functions (IMFs), enabling instantaneous frequency calculation through Hilbert transform. The primary challenge in practical Hilbert-Huang transform applications is the endpoint effect. Our solution introduces an adaptive spurious IMF filtering algorithm using residue-to-original-signal correlation coefficient as threshold. Key Technology: Complex signal decomposition into monocomponent signals requires each IMF to satisfy two conditions: (1) Extremum and zero-crossing counts must be equal or differ by one throughout the data length; (2) The mean of upper and lower envelopes must be zero at any point. The implementation involves adaptive sifting with envelope interpolation and statistical boundary handling.
MATLAB source code implementation for calculating envelope spectrum using Hilbert transform with signal processing application
Decomposes input signals into multiple IMF components through empirical mode decomposition, applies Hilbert transform to each component, and computes time-frequency distribution spectrograms to analyze signal characteristics with enhanced frequency-temporal resolution.
This algorithm implements two distinct methods for envelope demodulation: the first approach applies Hilbert transform followed by FFT analysis, while the second method squares the signal before passing it through a low-pass filter (LPF) and performing FFT.
Comprehensive examples of Hilbert transform demonstrating signal processing applications with MATLAB/Python code implementation
MATLAB Code Implementation for Instantaneous Frequency Estimation with Algorithm Explanations
Methods for Calculating Instantaneous Frequency with MATLAB Implementation