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<!DOCTYPE HTML>
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<TITLE>Overview</TITLE>
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<H1><A ID="SECTION00010000000000000000">
Overview</A>
</H1>
<UL>
<LI>A frequency-domain method to estimate 1D input impedance for acoustics systems that can be approximated by piece-wise cylindrical and conical segments (with extensions for side holes and more arbitrary sub-structures).
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<LI>Sometimes referred to as the “transmission matrix method.”
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</LI>
<LI>Generally used for wind instruments (air columns) but it can be applied to other 1D systems such as strings (though perhaps less relevant because strings are normally continuous between terminations).
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</LI>
<LI>Also commonly used in optics for electromagnetic waves but I will focus on acoustics.
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<LI>Input impedance can be used to evaluate mode frequencies (relative strengths, harmonicity) that can in turn be used to estimate ease of play, intonation, <SPAN CLASS="MATH"><IMG
STYLE="height: 0.28ex; vertical-align: -0.02ex; " SRC="img5.png"
ALT="$\ldots$"></SPAN>
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</LI>
<LI>Can be used as a comparison when making measurements (reality check, assess model quality).
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</LI>
<LI>Can be used for sound synthesis, either by devising a modal filter representation or by computing time-domain impulse responses or reflection functions using the IFFT.
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<LI>Most listeners probably already know the method well. The focus here is on a toolbox of scripts that I am sharing to simplify the TMM process (and which might be useful for teaching and student research).
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</UL>
<P>
<BR> <HR>
<ADDRESS>
<table><tr><td><a href="https://acousticalsociety.org/asa-meetings/">
<img src="ASA21Virtual.jpg" width=60 border=0 alt="ASA 2021"></a>
<td>Presented at the 180th Meeting of the Acoustical Society of America, 8-10 June 2021 by <a href="http://www.music.mcgill.ca/~gary/">Gary P. Scavone</a>.</td>
<td align=right><img src="mcgill.gif" width=150 border=0></td>
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