Continuous State Modeling for Statistical Spectral Synthesis
Continuous State Markovian Spectral Modeling is a novel approach for parametric synthesis of spectral modeling parameters, based on the sines plus noise paradigm. The method aims specifically at capturing shimmer and jitter - micro-fluctuations in the partials’ frequency and amplitude trajectories, which are essential for the timbre of musical instruments. It allows for parametric control over the timbral qualities, while removing the need for the more computationally expensive and restrictive process of the discrete state space modeling method. A qualitative comparison between an original violin sound and a re-synthesis shows the ability of the algorithm to reproduce the micro-fluctuations, considering their stochastic and spectral properties.