Wavelet analysis of low-level optical signals from Brillouin light scattering experiments

Abstract

Wavelets described for the first time by Haar have been rediscovered once more some years ago thanks to efforts of large community of scientist mainly belonged to a so called applied mathematicians. However, what seems especially interesting, wavelet theory, very sophisticated from mathematical point of view, quickly has been moved to applications. From application areas we should mention signal and image compression, signal filtering, signal denoising, and transient signal analysis. The paper examines different types of wavelets. The main purpose is to find the best fitting to noised peaks measured in the low-level optical-signals Brillouin scattering experiments where single photon counting method is applied.