Title :
Diagonalizing acoustic models
Author :
Maccluer, C.R. ; Radcliffe, C.J. ; Hull, Andrew J.
Author_Institution :
Michigan State Univ., East Lansing, MI, USA
Abstract :
It is shown that there exists an equivalent inner product under which one-dimensional acoustic problems with partially absorbent terminations orthogonally decouple and thus yield to separation of variables. The exact analytic diagonal form that is obtained can be truncated to produce numerical approximations of remarkable accuracy. Moreover, such truncations show close agreement with experimental findings. The results are of interest in connection with active noise control
Keywords :
acoustic noise; acoustic variables control; distributed parameter systems; noise abatement; acoustic models; acoustic noise; active noise control; diagonalisation; distributed parameter systems; inner product; noise abatement; numerical approximations; one-dimensional acoustic problems; partially absorbent terminations; Acoustic noise; Acoustic waves; Active noise reduction; Ducts; Eigenvalues and eigenfunctions; Impedance; Mathematics; Mechanical engineering; Partial differential equations; Underwater acoustics;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203790
