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Please navigate the html version of my thesis using the table of contents below or click here to go to the pdf download page.

Theoretical and experimental study of wave propagation in brass musical instruments


Jonathan A Kemp

A thesis submitted in fulfilment of the requirements
for the degree of Doctor of Philosophy
to the
University of Edinburgh



In Chapter 2, equation (2.100) (and also the same equation in Chapter 4, equation (4.6)) should read:
$Z^{(0)} = (i D_3)^{-1} Z_c - D_2^{-1} Z_c (Z^{(1)} + (i D_3)^{-1} Z_c)^{-1} D_2^{-1} Z_c$
The original print of my thesis has these equations as: $Z^{(0)} = (Z^{(1)} + (i D_3)^{-1} Z_c)(i D_3 Z_c^{-1} Z^{(1)} + I)^{-1}$
This original version is mathematically wrong (as it assumes diagonal impedance matrices). The difference is minimal in terms of calculation results for approximating a bore with high numbers of cylinders.

In Chapter 7, in the section called "Acoustic pulse reflectometry measurement with MLS excitation", the second paragraph should begin with:
MLS signals are inherently periodic with a period of $2^m-1$.
The above changes have been made in the online html and pdf versions of my thesis.

Equation 6.24 appears to be wrong in my thesis and corrections/devivations have been given by Bjørn Kolbrek. Please download Bjørn Kolbrek's corrections.

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Jonathan Kemp 2003-03-24