Wavelet Ridge Extraction Using Modulus Maximum Method

In this example, we employ the modulus maximum method for wavelet ridge extraction. The presence of two distinct wavelet ridges necessitates specialized ridge extraction techniques. To enhance smoothness, we implement a penalty function that regulates the lambda parameter, effectively controlling ridge continuity and stability. The algorithm workflow typically involves: 1. Computing the continuous wavelet transform of the input signal 2. Identifying local maxima in the wavelet transform modulus across scales 3. Applying ridge connection algorithms with penalty-based regularization 4. Optimizing lambda values through iterative refinement Furthermore, this methodology can be extended through various enhancements, such as adjusting penalty function parameters or experimenting with alternative wavelet transform methods to achieve superior ridge extraction performance. These improvements facilitate more accurate signal characterization and analysis, particularly in time-frequency domain applications. Potential code implementations might include scale-space peak detection algorithms and regularization techniques for ridge path optimization.