Overlap-Add Synthesis of NonStationary Sinusoids.
Michael M. Goodwin, Alex A. Kogon · 1995
: In overlap-add synthesis of sinusoidal partials, amplitude modulation distortion can occur in the overlap region if the partial frequencies in successive frames differ. The frame-to-frame frequency changes can be accommodated by synthesizing linearly time-varying sinusoids (chirps) in adjacent frames. In this paper we present a new approach to chirp synthesis in which the distortion is eliminated by using a succession of chirp rates in each frame for each partial. 1. INTRODUCTION A common mathematical model for a musical signal is a sum of time-varying sinusoids or partials: d[n] = Q X q=1 A q [n] cos (! q [n]n + OE q [n]) = Q X q=1 A q [n] cos (\\Phi q [n]) where q is the partial index, n is the discrete time index, and A q [n], ! q [n], and OE q [n] are the amplitude, frequency, and phase parameters of the q-th partial, respectively. For the sake of generality, the argument of the sinusoid is often expressed in the literature as a total phase \\Phi q [n]. Analysis methods b...