Signal Analysis Application Developed with MATLAB GUI
A compact signal analysis tool built using MATLAB GUI framework, designed to facilitate GUI learning through practical implementation examples with signal processing algorithms.
Explore MATLAB source code curated for "信号分析" with clean implementations, documentation, and examples.
A compact signal analysis tool built using MATLAB GUI framework, designed to facilitate GUI learning through practical implementation examples with signal processing algorithms.
Wavelet Toolbox Application Fundamentals: 16.1 1D Wavelet Analysis Applications (395) 16.1.1 Wavelet Decomposition in General Signal Analysis (395) - Implementation using wavedec() function with multi-level decomposition 16.1.2 Wavelet Transform in Signal Feature Detection (411) - Feature extraction using cwt() for continuous wavelet transform 16.2 2D Wavelet Analysis Applications (417) 16.2.1 Wavelet Analysis in Image Smoothing (417) - Denoising with dwt2() and thresholding techniques 16.2.2 Wavelet Analysis in Image Enhancement (418) - Contrast improvement using wavelet coefficient manipulation 16.2.3 Wavelet Analysis in Image Fusion (420) - Multi-resolution fusion with wfusimg() function 16.3 Wavelet Packet Analysis Applications (422) 16.3.1 Wavelet Packets in Signal Time-Frequency Analysis (423) - wpdec() for detailed frequency band decomposition 16.3.2 Wavelet Packets in Image Edge Detection (429) - Edge detection using wavelet packet energy features
Performing time-frequency analysis using Short-Time Fourier Transform with comparative spectrograms illustrating the impact of varying window sizes on frequency resolution and temporal precision.
Step-by-step procedures for wavelet analysis of signals including wavelet decomposition, wavelet reconstruction, and wavelet-based filtering methods with code implementation details.
MATLAB implementation of Hilbert-Huang Transform performing Empirical Mode Decomposition (EMD) for advanced signal analysis and feature extraction
The EMD Toolbox and usage methodology for Empirical Mode Decomposition (EMD) is a signal analysis technique developed by Dr. Norden E. Huang at NASA. This method decomposes signals based on their intrinsic time-scale characteristics without requiring predefined basis functions. This represents a fundamental distinction from Fourier and wavelet decomposition methods that rely on predetermined harmonic and wavelet basis functions. Due to this characteristic, EMD method can theoretically be applied to decompose any type of signal, giving it significant advantages in processing non-stationary and nonlinear data. Upon its introduction, EMD gained rapid adoption across various engineering fields, with implementations typically involving sifting processes, envelope detection using cubic spline interpolation, and intrinsic mode function (IMF) extraction through iterative algorithms.
Prony Algorithm Toolbox - An implementation of Prony's method which approximates equally spaced sampled data using linear combinations of exponential terms, enabling analysis of signal amplitude, phase, damping factors, and frequency components. Key implementation considerations include: data preprocessing techniques, model order selection strategies, signal subspace identification methods, signal-noise separation algorithms, root inspection procedures, and residual assessment metrics.
Wavelet analysis represents a sophisticated branch of signal processing where wavelet transforms enable critical applications including image compression, vibration signal decomposition and reconstruction. Compared to Fourier transforms, wavelet transformations operate as local transforms in both spatial and frequency domains, allowing efficient information extraction from signals. Through fundamental operations like scaling and translation, wavelet transforms achieve multi-scale signal decomposition and reconstruction, effectively overcoming many limitations of Fourier analysis. As a new mathematical discipline, wavelet analysis synthesizes functional analysis, Fourier analysis, and numerical analysis, serving as a powerful "time-scale" analysis and multi-resolution analysis technique with extensive applications across signal processing, speech synthesis, image compression, and pattern recognition.
Wavelet analysis programs and wavelet transforms, specifically focusing on how to analyze signals with code examples and implementation approaches
Essential code routines for signal analysis, performing spectrum analysis to identify fault characteristic frequencies in signals with FFT implementation and peak detection algorithms