language: en

TIME-FREQUENCY SIGNAL MODELS FOR MUSIC ANALYSIS, TRANSFORMATION, AND SYNTHESIS

Michael Goodwin Martin Vetterli
Department of Electrical Engineering and Computer Science & Center for New Music and Audio Technologies University of California at Berkeley

ABSTRACT In signal analysis-synthesis, the analysis derives a set of parameters that the synthesis uses to reconstruct the original signal. In musical applications, this reconstruction should be perceptually accurate, and the parameterization should allow for such desirable signal modifications as time-scaling, pitch-shifting, and cross-synthesis; the analysis parameters should correspond to a signal model that is flexible enough to allow these transformations. Sinusoidal modeling meets this flexibility requirement, but has difficulty representing some salient features of musical signals such as attack transients and noiselike processes. In this paper, sinusoidal modeling is reviewed and some variations are proposed to account for its shortcomings; also, wavelet-based representations of musical signals are considered.

1. SIGNAL MODELING FOR MUSIC