MATLAB Implementation of Continuous Wavelet Transform Using Mexican Hat Wavelet Function
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Resource Overview
A MATLAB program for performing continuous wavelet transform (CWT) with the Mexican Hat wavelet function, featuring practical code implementation and parameter explanations for signal processing applications.
Detailed Documentation
This MATLAB program implements continuous wavelet transform using the Mexican Hat (Ricker) wavelet function. The implementation demonstrates how to apply CWT for accurate signal analysis and processing through time-frequency decomposition. The code includes key functions such as wavelet generation, scale parameter configuration, and convolution operations for multi-resolution analysis. By adjusting scale parameters and implementing the convolution algorithm, users can observe how the Mexican Hat wavelet captures signal features at different frequencies. This practical example helps researchers and students understand CWT principles, wavelet coefficient computation, and applications in time-frequency analysis for non-stationary signals. The program serves as an educational tool for studying wavelet transform algorithms and their implementation in MATLAB's signal processing environment.
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