Applying Balanced Model Truncation To Sound Analysis/Synthesis Models

: Balanced Model Truncation (BMT) is a powerful technique that can be used to greatly reduce the order of certain digital filters with little distortion to their frequency and phase responses. Since digital filters are commonly used in computer music applications, BMT may be a tool of considerable practical use. To demonstrate this potential, BMT is applied to an autoregressive (AR) drum sound model, showing that its order may be reduced considerably with little change to the accuracy of the model. 1. INTRODUCTION The intention of this paper is to introduce the technique of Balanced Model Truncation (BMT) as a powerful tool for use in computer music applications. BMT is a means by which the order of a digital filter may be significantly reduced while accurately maintaining its input/output response. This is achieved by analysing the filter to quantify and then rid it of system redundancy. In (Beliczynski, B.), for example, it is shown that certain high-order FIR filters may be conver..