Application of functional analysis to the sound field reconstruction

Institute of Acoustics - 23rd Reproduced Sound Conference 2007, Reproduced Sound 2007 - Hall of Sound: Audio for Live Events, Proceedings of the Institute of Acoustics

Volumn 29, Issue PART 7, 2007, Pages 116-124

  Fazi, F M ^a   Nelson, P A ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84871521318     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. A.J. Berkhout, D. De Vries and P. Vogel, "Acoustic control by wave field synthesis." Journal of the Acoustical Society of America 93, 2764-2778 (1993).
2. J. Daniel, R. Nicol, and S. Moureau, "Further Investigationsof High-Order Ambisonics and Wavefield Synthesis for Holophonic Sound Imaging," presented at the 114th Convention of the Audio Engineering Society, convention paper 5788 (2003).
3. M. Poletti, "Three-Dimensional Surround System Based on Spherical Harmonics". J. Audio Eng. Soc., Vol. 53, No. 11 (2005)
4. D. B. Ward and T. D. Abhayapala, "Reproduction of a Plane-Wave Sound Field Using an Array of Loudspeakers." IEEE Transaction on Speech and Audio Processing, 9, 697-707 (2001)
5. G.V. Borgiotti, A. Sarkissian, E.G. Williams and L. Schuetz, "Conformal generalized nearfield acoustic holography for axisymmetric geometries" Journal of the Acoustical Society of America 88, 199-209 (1990)
6. G.A. Deschamps and H.S. Cabayas, "Antenna Synthesis and Solution of Inverse Problems by Regularisation Methods" IEEE transactions on antennas and propagation, Vol. AP-20, no.8 (1972)
7. D. Colton and R. Kress, "Inverse Acoustic and Electromagnetic Scattering Theory" Springer-Verlag (1992)
8. E. Kreyszig, "Introductory Functional Analysis with Applications", Wiley Classics Library (1978)
9. L. Nowinski, "Applications of Functional Analysis in Engineering", Plenum Press (1981)
10. R. Potthast, "Introduction to Functional Analysis and Inverse Problems", Lecture Notes (2007)
11. F.M. Fazi and P.A. Nelson, "The ill-conditioning problem in sound field reconstruction", presented at the 123th Convention of the Audio Engineering Society, convention paper 7244 (2007).
12. G. Chen and J. Zhou, "Boundary Element Method", Academic Press (1992)