Use of Truncated Infinite Impulse Response (TIIR) Filters in Implementing Efficient Digital Waveguide Models of Flared Horns and Piecewise Conical Bores with Unstable One-Pole Filter Elements

Maarten van Walstijn

Ph.D. Student, Faculty of Music, University of Edinburgh 12 Nicholson Square, Edinburgh EH8 9DF

Julius O. Smith III ¹ ( send email )
Associate Professor, Center for Computer Research in Music and Acoustics (CCRMA), Stanford University Stanford University, Stanford, CA 94305 USA

Original version published in the
Proceedings of the International Symposium on Musical Acoustics
(ISMA-98 at Leavenworth, Washington), pp. 309-314, June 28, 1998.

Abstract--We describe computational modeling of flaring horns and piecewise conical bores using ``Truncated Infinite Impulse Response'' (TIIR) digital filtering techniques. The approach yields highly efficient and accurate computational models and is therefore appropriate for real-time simulations of woodwind and brass musical instruments.