On noise robustness of the Mexican-hat and hyperbolic wavelets with an experiment on chaos detection

This paper studies the noise robustness of Laplace of hyperbolic (LoH) and Laplace of Gaussian (LoG) wavelets. A typical example of using the LoH and LoG to study Duffing oscillation under normal and noisy conditions is given. Relative merits of each method are discussed.