Representation of two-dimensional wave fields by multidimensional signals

Signal Processing

Volumn 86, Issue 6, 2006, Pages 1341-1351

  Rabenstein, Rudolf ^a   Steffen, Peter ^a   Spors, Sascha ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Acoustics; Functional transformations; Multidimensional systems; Waves

Indexed keywords

ACOUSTIC WAVES; ELECTROMAGNETISM; LINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; OPTICS;

FUNCTIONAL TRANSFORMATIONS; LINEAR SYSTEMS THEORY; MULTIDIMENSIONAL SYSTEMS; SIGNAL DESCRIPTIONS;

SIGNAL PROCESSING;

EID: 33646166211     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2005.10.001     Document Type: Article

References (22)

1. Berkhout A.J. Applied Seismic Wave Theory (1987), Elsevier, Amsterdam
2. Blackstock D.T. Fundamentals of Physical Acoustics (2000), Wiley, New York
3. Bracewell R.N. Fourier Analysis and Imaging (2003), Kluwer, Dordrecht
4. Dudgeon D.E., and Mersereau R.M. Multidimensional Digital Signal Processing (1984), Prentice-Hall, Englewood Cliffs, NJ, USA
5. Johnson D.H., and Dudgeon D.E. Array Signal Processing: Concepts and Techniques (1993), Prentice-Hall, Englewood Cliffs, NJ
6. Papoulis A. Systems and Transforms with Applications in Optics (1968), McGraw-Hill, London
7. Scales J.A. Theory of Acoustic Imaging (1997), Samizdat Press
8. Williams E.G. Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography (1999), Academic Press, New York
9. Ziomek L.J. Fundamentals of Acoustic Field Theory and Space Time Signal Processing (1995), CRC Press, Boca Raton, FL
10. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1972), Dover Publications, New York
11. Gradshteyn I.S., and Ryzhik I.M. Tables of Integrals, Series, and Products (1965), Academic Press, New York
12. Sneddon I.N. The Use of Integral Transforms (1972), McGraw-Hill, New York
13. Bamler R. Mehrdimensionale Systeme (1989), Springer, Berlin
14. Gaskill J.D. Linear Systems, Fourier Transforms, and Optics (1978), Wiley, New York
15. Arfken G.B., and Weber H.J. Mathematical Methods for Physicists. fifth ed. (2001), Academic Press, San Diego, London
16. Hassani S. Mathematical Physics, A Modern Introduction to its Foundations (1999), Springer, Berlin
17. In: Brandstein M., and Ward D. (Eds). Microphone Arrays (2001), Springer, Berlin
18. In: Huang Y., and Benesty J. (Eds). Audio Signal Processing for Next-Generation Multimedia Communication Systems (2004), Kluwer Academic Press, Boston, USA
19. J. Coleman, Ping-pong sample times on a linear array halve the Nyquist rate, in: Proceedings of the International Conference on Speech, Acoustics, and Signal Processing (ICASSP), IEEE, New York, 2004.
20. Van Trees H.L. Optimum Array Processing (2002), Wiley-Interscience, New York
21. Berkhout A.J. A holographic approach to acoustic control. J. Audio Eng. Soc. 36 (December 1988) 977-995
22. Berkhout A.J., de Vries D., and Vogel P. Acoustic control by wave field synthesis. J. Acoustic Soc. Amer. 93 5 (May 1993) 2764-2778