Pseudo-periodic 1/f-like noise

Abstract

This paper presents a new model for the synthesis of pseudo-periodic signals, based on self-similar noise processes that can be generated by computing the inverse multiplexed wavelet transform (MWT) of seed and characteristic sequences. These processes, which exhibit an approximate 1/f behavior near the harmonics of the fundamental frequency, are shown to be samples of a self-similar random field. They provide an extension of the Wornell-Oppenheim (1992) class of dy-homogeneous signals. Applications to speech and music are pointed out, where the defined processes may be used as excitation signals in order to approximate the fine structure of the frequency spectrum typical of voiced sounds.