Efficient waveform synthesis by harmonic components
Various techniques for achieving waveform synthesis are presented, with particular attention directed toward acoustic waves. The numerical method of conjugate gradient direction is proposed as an efficient tool for extracting the modal properties of an ideal violin as it undergoes a sweep-type excitation. The feasibility of the method is first established by demonstrating its effectiveness in synthesizing various waveforms and comparing it to other existing methodologies. In the ensuing analysis, the ideal violin is assumed to be an inputoutput system that can be effectively modeled as a set of independent linear second-order systems. Characteristics of the instrument are then extracted from its response to the forcing functions.
waveform synthesis harmonics conjugate gradient