Removing noise from music using local trigonometric bases and wavelet packets

Abstract

The work is closely based on the work of R. Coifman and M.V. Wickerhauser on entropy-based denoising algorithms and on the work of RK Coifman and F. Majid. An algorithm used in that work, and which is also used here, consists in broad outline of choosing an optimal basis for a given signal from a library of local trigonometric and wavelet packet bases. Optimality is defined in terms of a cost function. The signal is then spilt into clean and noisy parts, and the procedure is iterated on the noisy component. The clean components from each iteration are added together