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N. Amir, G. Rosenhouse, and U. Shimony, ``Discrete model for tubular acoustic systems with varying cross section--the direct and inverse problems. Part 1: Theory,'' Acta Acustica, vol. 81, pp. 450-462, 1995.

A. H. Benade and E. V. Jansson, ``On plane and spherical waves in horns with nonuniform flare. I. theory of radiation, resonance frequencies, and mode conversion,'' Acustica, vol. 31, no. 2, pp. 80-98, 1974.

L. Ljung and T. L.Soderstrom, ``The Steiglitz-McBride algorithm revisited--convergence analysis and accuracy aspects,'' IEEE Transactions on Automatic Control, vol. 26, pp. 712-717, June 1981,
See also the function stmcb() in the Matlab Signal Processing Toolbox.

J. Martinez and J. Agullo, ``Conical bores. Part I: Reflection functions associated with discontinuities,'' Journal of the Acoustical Society of America, vol. 84, pp. 1613-1619, Nov. 1988.

G. P. Scavone, An Acoustic Analysis of Single-Reed Woodwind Instruments with an Emphasis on Design and Performance Issues and Digital Waveguide Modeling Techniques,
PhD thesis, CCRMA, Music Dept., Stanford University, March 1997,

D. B. Sharp, Acoustic Pulse Reflectometry for the Measurement of Musical Wind Instruments,
PhD thesis, Dept. of Physics and Astronomy, University of Edinburgh, 1996,
http: //

J. O. Smith, ``Physical modeling using digital waveguides,'' Computer Music Journal, vol. 16, pp. 74-91, Winter 1992,
special issue: Physical Modeling of Musical Instruments, Part I. http: //

V. Välimäki and M. Karjalainen, ``Digital waveguide modeling of wind instrument bores constructed of truncated cones,'' in Proceedings of the 1994 International Computer Music Conference, Århus, pp. 423-430, Computer Music Association, 1994.

M. van Walstijn and V. Välimäki, ``Digital waveguide modeling of flared acoustical tubes,'' in Proceedings of the 1997 International Computer Music Conference, Greece, (Thessaloniki, Greece), pp. 196-199, Computer Music Association, 1997.

A. Wang and J. O. Smith, ``On fast FIR filters implemented as tail-canceling IIR filters,'' IEEE Transactions on Signal Processing, vol. 45, pp. 1415-1427, June 1997.

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``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'', by , Original version published in the Proceedings of the International Symposium on Musical Acoustics (ISMA-98, Leavenworth, Washington), pp. 309-314, June 28, 1998.
Copyright © 2005-12-28 by Julius O. Smith III<jos_email.html>
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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