Sinusoidal modeling has been successfully applied to a broad range of speech processing problems, and offers advantages over linear predictive modeling and the short-time Fourier transform for speech analysis/synthesis and modification. This paper presents a novel speech analysis/synthesis system based on the combination of an overlap-add sinusoidal model with an analysis-by-synthesis technique to determine the model parameters. It describes this analysis procedure in detail, and introduces an equivalent frequency-domain algorithm that takes advantage of the computational efficiency of the fast Fourier transform (FFT). In addition, a refined overlap-add sinusoidal model capable of shape-invariant speech modification is derived, and a pitch-scale modification algorithm is defined that preserves speech bandwidth and eliminates noise migration effects. Analysis-by-synthesis achieves very high synthetic speech quality by accurately estimating the component frequencies, eliminating sidelobe interference effects, and effectively dealing with nonstationary speech events. The refined overlap-add synthesis model correlates well with analysis-by-synthesis, and modifies speech without objectionable artifacts by explicitly controlling shape invariance and phase coherence. The proposed analysis-by-synthesis/overlap-add (ABS/OLA) system allows for both fixed and time-varying time-, frequency-, and pitch-scale modifications, and computational shortcuts using the FFT algorithm make its implementation feasible using currently available hardware.
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