Wavelets-regularization method for particle size inversion in photon correlation spectroscopy

For ill-posed inversion problem of photon correlation spectroscopy (PCS), a wavelet-regularization inversion method (WRIM) which combines wavelet multiscale inversion strategy with classical regularization inversion method (CRIM) was proposed. By using this method, the original inversion problem is decomposed into several subproblems on different multiscale spaces. As a result, we can successively obtain solution of original inversion problem according to the particle sizes inverted from the coarsest scale to the finest scale. The simulation and experimental data was respectively inverted by two methods. The inversion results demonstrate that WRIM has better global convergence, higher accuracy and more strong noise immunity than CRIM.

► A novel wavelet-regularization inversion method (WRIM) is investigated in PCS.
► WRIM combines wavelet multiscale inversion strategy with classical regularization inversion method.
► WRIM obtains solution of the problem by performing the inversion from the coarsest to the finest scale.
► The study manifests that WRIM can improve the inversion accuracy, noise immunity.