T. D. Abhayapala, R. A. Kennedy, and R. C. Williamson, Nearfield broadband array design using a radially invariant modal expansion, The Journal of the Acoustical Society of America, vol.107, issue.1, pp.392-403, 2000.
DOI : 10.1121/1.428311

T. D. Abhayapala and D. B. Ward, Theory and design of high-order sound field microphones using spherical microphone array, ICASSP, 2002.

T. Ajdler and L. Sbaiz, VETTERLI : The plenacoustic function and its sampling, 2005.

T. Ajdler, VETTERLI : The plenacoustic function and its sampling, IEEE Workshop on Model based Processing and Coding of Audio, 2002.

T. Ajdler, VETTERLI : The plenacoustic function, sampling and reconstruction, ICASSP, 2003.

A. Berkhout, A holographic approach to acoustic control, Journal of The Audio Engineering Society, vol.36, issue.12, pp.977-995, 1988.

A. Berkhout, D. De, V. , and J. Baan, A wave field extrapolation approach to acoustical modeling in enclosed spaces, The Journal of the Acoustical Society of America, vol.105, issue.3, pp.1725-1733, 1999.
DOI : 10.1121/1.426710

A. Berkhout, D. De, V. , and J. Sonke, Array technology for acoustic wave field analysis in enclosures, The Journal of the Acoustical Society of America, vol.102, issue.5, pp.2757-2770, 1997.
DOI : 10.1121/1.420330

A. Berkhout, D. De, V. , and P. Vogel, Acoustic control by wave field synthesis, The Journal of the Acoustical Society of America, vol.93, issue.5, pp.2764-2778, 1993.
DOI : 10.1121/1.405852

T. Betlehem and T. D. , ABHAYAPALA : A modal approach to soundfield reproduction in reverberant rooms, ICASSP, 2005.

T. Betlehem and T. D. , Theory and design of sound field reproduction in reverberant rooms, The Journal of the Acoustical Society of America, vol.117, issue.4, pp.2100-2111, 2005.
DOI : 10.1121/1.1863032

M. M. Boone, Acoustic rendering with wave field synthesis, ACM Siggraph and Eurographics, 2001.

M. M. Boone, E. N. Verheijen, P. F. Van, and T. , Spatial sound reproduction with wave field synthesis, The Journal of the Acoustical Society of America, vol.105, issue.2, pp.431003-1012, 1995.
DOI : 10.1121/1.426306

M. Bouchard, Multichannel affine and fast affine projection algorithms for active noise control and acoustic equalization systems, IEEE Transactions on Speech and Audio Processing, vol.11, issue.1, pp.54-60, 2003.
DOI : 10.1109/TSA.2002.805642

M. Bouchard and Y. Feng, Inverse structure for active noise control and combined active noise control/sound reproduction systems, IEEE Transactions on Speech and Audio Processing, vol.9, issue.2, pp.141-151, 2001.
DOI : 10.1109/89.902280

M. Bouchard and S. Quednau, Multichannel recursive-least-square algorithms and fast-transversal-filter algorithms for active noise control and sound reproduction systems, IEEE Transactions on Speech and Audio Processing, vol.8, issue.5, pp.606-618, 2000.
DOI : 10.1109/89.861382

C. Breining, P. Dreiseitel, E. Hänsler, A. Marder, B. Nitsch et al., Acoustic echo control. an application of veryhigh-order adaptive filters, IEEE Signal Processing Magazine, pp.42-69, 1999.

T. P. Bronez, Spectral estimation of irregularly sampled multidimensional processes by generalized prolate spheroidal sequences, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.36, issue.12, pp.1862-1873, 1988.
DOI : 10.1109/29.9031

M. Bruneau, Manuel d'acoustique fondamentale, Hermes, 1998.

H. Buchner, S. Spors, and W. Kellerman, Wave-domain adaptive filtering: acoustic echo cancellation for full-duplex systems based on wave-field synthesis, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004.
DOI : 10.1109/ICASSP.2004.1326777

L. L. Campbell, Fourier and hankel bandlimited functions. Sampling Theory in Signal and Information Processing, pp.25-32, 2002.

T. Caulkins, A. Laborie, E. Corteel, R. Bruno, S. Montoya et al., Using a high-resolution microphone array to characterize the early reflections generated by a wfs loudspeaker array, 28th International Conference of the Audio Engineering Society, 2006.

D. G. Ciri´cciri´-ciri´c and M. A. , MILO?EVIC : Transient noise influence in mls measurement of room impulse response, Acta Acustica United with Acustica, vol.91, issue.1, pp.110-120, 2005.

E. Corteel, Adaptations de la Wave Field Synthesis aux conditions réelles, Thèse de doctorat, 2004.

E. Corteel, U. Horbach, and R. S. Pellegrini, Multichannel inverse filtering of multiexciter distributed mode loudspeakers for wave field synthesis, 2002.
URL : https://hal.archives-ouvertes.fr/hal-01106999

J. Daniel and S. Moreau, Further study of sound field coding with high order ambisonics. 116th Convention of The Audio Engineering society, 2004.

J. Daniel, R. Nicol, and S. Moreau, Further investigations of high order ambisonics and wave field synthesis for holophonic sound imaging. 114th Convention of the Engineering Society] D. de VRIES : Sound reinforcement by wavefield synthesis : Adaptation of the synthesis operator to the loudspeaker directivity characteristics, Journal of the Audio Engineering Society, issue.12, pp.441120-1131, 1996.

D. De, V. , and M. M. Boone, Wave field synthesis and analysis using array technology, IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 1999.

A. Dutt and V. , Fast Fourier Transforms for Nonequispaced Data, II, Applied and Computational Harmonic Analysis, vol.2, issue.1, pp.85-100, 1995.
DOI : 10.1006/acha.1995.1007

S. J. Elliott, I. M. Stothers, and P. A. Nelson, A multiple error lms algorithm and its application to the active noise control of sound and vibration, IEEE Transactions on Acoustics, Speech and Signal Processing, issue.10, pp.351423-1434, 1987.

A. Farina, Simultaneous measurement of impulse response and distortion with a sweptsine technique. 108th Convention of the AES, 2000.

M. Gerzon, Periphony : With-height sound reproduction, Journal of the Audio Engineering Society, vol.21, issue.1, pp.2-10, 1973.

M. Gerzon, Ambisonics in multichannel broadcasting and video, Journal of the Audio Engineering Society, vol.33, issue.11, pp.859-871, 1985.

G. Glentis, K. Berberidis, and S. Theodoridis, Efficient least-squares adatpive algorithms for fir transversal filtering, IEEE Signal Processing Magazine, pp.13-41, 1999.

D. Gottlieb and C. Shu, On the Gibbs Phenomenon and Its Resolution, SIAM Review, vol.39, issue.4, pp.644-668, 1997.
DOI : 10.1137/S0036144596301390

M. Guillaume and Y. Grenier, Multichannel equalization analysis in sound reproduction systems, Tonmeistertagung, 2005.

M. Guillaume and Y. Grenier, Experimental 3d sound field analysis with a microphone array, 28th International Conference of the Audio Engineering Society, 2006.

M. Guillaume and Y. Grenier, Sound field analysis based on generalized prolate spheroidal wave sequences. 120th Convention of the Audio Engineering Society, 2006.

M. Guillaume and Y. Grenier, Sound Field Analysis with a Two-Dimensional Microphone Array, 2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006.
DOI : 10.1109/ICASSP.2006.1661277

M. Guillaume and Y. Grenier, Theoretical sound field analysis, 2006.

M. Guillaume and Y. Grenier, Sound Field Analysis Based on Analytical Beamforming, EURASIP Journal on Advances in Signal Processing, vol.2007, issue.1, 2007.
DOI : 10.1109/TASSP.1980.1163349

M. Guillaume, Y. Grenier, and G. Richard, Iterative Algorithms for Multichannel Equalization in Sound Reproduction Systems, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005., 2005.
DOI : 10.1109/ICASSP.2005.1415698

N. A. Gumerov and R. , DURAISWAMI : Fast multipole method based filtering of nonuniformly sampled data, ICASSP, 2004.

R. H. Hardin and N. J. Sloane, McLaren???s improved snub cube and other new spherical designs in three dimensions, Discrete & Computational Geometry, vol.6, issue.107, pp.429-441, 1995.
DOI : 10.1007/BF02711518

E. Hulsebos, D. De, V. , and E. Bourdillat, Improved microphone array configurations for auralization of sound fields by wave field synthesis, 2001.

S. Ise, A principle of sound field control based on the kirchhoff-helmholtz integral equation and the theory of inverse systems, ACUSTICA acta acoustica, vol.85, issue.1, pp.78-87, 1999.

S. M. Kay and S. L. , MARPLE : Spectrum analysis?a modern perspective, Proceedings of the IEEE, pp.1380-1418, 1981.

R. A. Kennedy, T. D. Abhayapala, and D. B. Ward, Broadband nearfield beamforming using a radial beampattern transformation, IEEE Transactions on Signal Processing, vol.46, issue.8, pp.2147-2156, 1998.
DOI : 10.1109/78.705426

B. Kim and J. , Design of an optimal wave-vector filter for enhancing the resolution of reconstructed source field by near-field acoustical holography (NAH), The Journal of the Acoustical Society of America, vol.107, issue.6, pp.3289-3297, 2000.
DOI : 10.1121/1.429401

Y. Kim, J. S. Bolton, and H. Kwon, Partial sound field decomposition in multireference near-field acoustical holography by using optimally located virtual references, The Journal of the Acoustical Society of America, vol.115, issue.4, pp.1641-1652, 2004.
DOI : 10.1121/1.1642627

O. Kirkeby and P. A. Nelson, Digital filter design for inversion problems in sound reproduction, Journal of the Audio Engineering Society, vol.47, issue.78, pp.583-595, 1999.

O. Kirkeby, P. A. Nelson, H. Hamada, and F. Orduna-bustamante, Fast deconvolution of multichannel systems using regularization, IEEE Transactions on Speech and Audio Processing, vol.6, issue.2, pp.189-194, 1998.
DOI : 10.1109/89.661479

H. Krim, VIBERG : Two decades of array signal processing research, IEEE Signal Processing Magazine, pp.67-94, 1996.

A. Laborie, R. Bruno, and S. Montoya, A new comprehensive approach of surround sound recording. 114th Convention of The Audio Engineering Society, 2003.

V. I. Lebedev and A. L. Skorokhodov, Quadrature formulas of orders 41, 47 and 53 for the sphere, Russ. Acad. Sci. Dokl. Math, vol.45, issue.3, pp.587-592, 1992.

Z. Li, A robust and self-reconfigurable design of spherical microphone array for multiresolution beamforming, Proceedings of ICASSP, pp.1137-1140, 2005.

Z. Li and R. Duraiswami, Hemispherical microphone arrays for sound capture and beamforming, IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, pp.106-109, 2005.

Z. Li, R. Duraiswami, E. Grassi, L. S. Davis, R. Li et al., Flexible layout and optimal cancellation of the orthonormality error for spherical microphone arrays, Capture and recreation of higher order 3d sound fields via reciprocity. International Conference on Audio Display, 2004.

J. D. Maynard, E. G. Williams, and Y. Lee, Nearfield acoustic holography: I. Theory of generalized holography and the development of NAH, The Journal of the Acoustical Society of America, vol.78, issue.4, pp.1395-1412, 1985.
DOI : 10.1121/1.392911

B. D. Van-veen and K. M. Buckley, Beamforming: a versatile approach to spatial filtering, IEEE ASSP Magazine, vol.5, issue.2, pp.4-24, 1998.
DOI : 10.1109/53.665

J. Meyer and G. Elko, A highly scalable microphone array based on an orthonormal decomposition of the soundfield, ICASSP, 2002.

M. Miyoshi and Y. Kaneda, Inverse control of room acoustics using multiple loudspeakers and/Or microphones, ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing, 1986.
DOI : 10.1109/ICASSP.1986.1168847

P. Morse, FESHBACH : Methods of Theoretical Physics, 1953.

S. Müller, MASSARANI : Transfer-function measurement with sweeps, Journal of The Audio Engineering Society, vol.49, issue.6, pp.443-471, 2001.

P. A. Nelson, H. Hamada, and S. J. Elliott, Adaptive inverse filters for stereophonic sound reproduction, IEEE Transactions on Signal Processing, vol.40, issue.7, pp.1621-1632, 1992.
DOI : 10.1109/78.143434

P. A. Nelson, F. Orduna-bustamante, and H. Hamada, Inverse filter design and equalization zones in multichannel sound reproduction, IEEE Transactions on Speech and Audio Processing, vol.3, issue.3, pp.185-192, 1995.
DOI : 10.1109/89.388144

P. A. Nelson and J. Rose, The time domain response of some systems for sound reproduction, Journal of Sound and Vibration, vol.296, issue.3, pp.464-493, 2006.
DOI : 10.1016/j.jsv.2005.12.051

R. Nicol and M. Emerit, Holophony versus ambisonic: Deriving a hybrid method for 3???D sound reproduction in videoconferencing, The Journal of the Acoustical Society of America, vol.105, issue.2
DOI : 10.1121/1.424947

R. Nicol, EMERIT : 3d-sound reproduction over an extensive listening area : a hybrid method derived from holophony and ambisonic, 16th AES International Conference on Spatial Sound Reproduction, 1999.

M. Park, Sound-field analysis by plane-wave decomposition using spherical microphone array, The Journal of the Acoustical Society of America, vol.118, issue.5, pp.3094-3103, 2005.
DOI : 10.1121/1.2063108

L. C. Parra, Steerable frequency-invariant beamforming for arbitrary arrays, The Journal of the Acoustical Society of America, vol.119, issue.6, pp.3839-3847, 2006.
DOI : 10.1121/1.2197606

M. Poletti, Three-dimensional surround sound systems based on spherical harmonics, Journal of the Audio Engineering Society, vol.53, issue.11, pp.1004-1025, 2005.

D. Potts, G. Steidl, and M. Tasche, Fast Fourier Transforms for Nonequispaced Data: A Tutorial, 2005.
DOI : 10.1007/978-1-4612-0143-4_12

R. Rabenstein, P. Steffen, and S. Spors, Representation of two-dimensional wave fields by multidimensional signals, Signal Processing, vol.86, issue.6, pp.1341-1351, 2006.
DOI : 10.1016/j.sigpro.2005.10.001

B. Rafaely, Plane-wave decomposition of the sound field on a sphere by spherical convolution, The Journal of the Acoustical Society of America, vol.116, issue.4, pp.2149-2157, 2004.
DOI : 10.1121/1.1792643

B. Rafaely, Analysis and design of spherical microphone arrays, IEEE Transactions on Speech and Audio Processing, vol.13, issue.1, pp.135-143, 2005.
DOI : 10.1109/TSA.2004.839244

URL : https://hal.archives-ouvertes.fr/hal-01251142

N. Rayess and S. F. Wu, Experimental validations of the HELS method for reconstructing acoustic radiation from a complex vibrating structure, The Journal of the Acoustical Society of America, vol.107, issue.6, pp.2955-2964, 2000.
DOI : 10.1121/1.429325

V. C. Raykar and R. Duraiswami, Automatic position calibration of multiple microphones, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004.
DOI : 10.1109/ICASSP.2004.1326765

D. D. Rife, VANDERKOOY : Transfer-function measurement with maximum-length sequences, Journal of the Audio Engineering Society, vol.37, issue.6, pp.419-444, 1989.

D. Slepian, Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions, Bell System Technical Journal, vol.43, issue.6, pp.3009-3058, 1964.
DOI : 10.1002/j.1538-7305.1964.tb01037.x

S. Spors, H. Buchner, and R. Rabenstein, Efficient active listening room compensation for wave field synthesis. 116th Convention of The Audio Engineering society, 2004.

S. Spors, H. Buchner, and R. Rabenstein, A novel approach to active listening room compensation for wave field synthesis using wave-domain adaptive filtering, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004.
DOI : 10.1109/ICASSP.2004.1326755

G. Stan and J. Embrechts, ARCHAMBEAU : Comparison of different impulse response measurement techniques, Journal of the Audio Engineering Society, vol.50, issue.4, pp.249-262, 2002.

E. W. Start, D. De, V. , and A. Berkhout, Wave field synthesis operators for bent line arrays in a 3d space, ACUSTICA acta acoustica, vol.85, issue.6, pp.883-892, 1999.

T. Strohmer, Numerical analysis of the non-uniform sampling problem, Journal of Computational and Applied Mathematics, vol.122, issue.1-2, pp.297-316, 2000.
DOI : 10.1016/S0377-0427(00)00361-7

S. Takane, Y. Suzuki, and T. Sone, A new method for global sound field reproduction based on kirchhoff's integral equation ACUSTICA acta acoustica : Robustness of multichannel equalization in an acoustic reverberant environment, Journal of the Acoustical Society of America, vol.85, issue.1142, pp.250-257833, 1999.

D. J. Thomson, Spectrum estimation and harmonic analysis, Proceedings of the IEEE, pp.1055-1096, 1982.
DOI : 10.1109/PROC.1982.12433

J. Vanderkooy, Aspects of mls measuring systems, Journal of the Audio Engineering Society, vol.42, issue.4, pp.219-231, 1994.

W. A. Veronesi and J. D. Maynard, Nearfield acoustic holography (NAH) II. Holographic reconstruction algorithms and computer implementation, The Journal of the Acoustical Society of America, vol.81, issue.5, pp.1307-1322, 1987.
DOI : 10.1121/1.394536

W. A. Veronesi and J. D. Maynard, Digital holographic reconstruction of sources with arbitrarily shaped surfaces, The Journal of the Acoustical Society of America, vol.85, issue.2, pp.588-598, 1989.
DOI : 10.1121/1.397583

Y. Wang and J. Chen, TST-MUSIC for joint DOA-delay estimation, IEEE Transactions on Signal Processing, vol.49, issue.4, pp.721-729, 2001.
DOI : 10.1109/78.912916

Z. Wang and S. F. Wu, Helmholtz equation???least-squares method for reconstructing the acoustic pressure field, The Journal of the Acoustical Society of America, vol.102, issue.4, pp.2020-2032, 1997.
DOI : 10.1121/1.419691

D. B. Ward, R. A. Kennedy, and R. C. Williamson, Theory and design of broadband sensor arrays with frequency invariant far???field beam patterns, The Journal of the Acoustical Society of America, vol.97, issue.2, pp.1023-1034, 1995.
DOI : 10.1121/1.412215

D. B. Ward, R. A. Kennedy, and R. C. , FIR filter design for frequency invariant beamformers, IEEE Signal Processing Letters, vol.3, issue.3, pp.69-71, 1996.
DOI : 10.1109/97.481158

S. F. Wu, On reconstruction of acoustic pressure fields using the Helmholtz equation least squares method, The Journal of the Acoustical Society of America, vol.107, issue.5, pp.2511-2522, 2000.
DOI : 10.1121/1.428639

S. F. Wu, Hybrid near-field acoustic holography, The Journal of the Acoustical Society of America, vol.115, issue.1, pp.207-217, 2004.
DOI : 10.1121/1.1631415

S. F. Wu and J. Yu, Reconstructing interior acoustic pressure fields via Helmholtz equation least-squares method, The Journal of the Acoustical Society of America, vol.104, issue.4, pp.2054-2060, 1998.
DOI : 10.1121/1.423719

S. F. Wu and X. Zhao, Combined Helmholtz equation???least squares method for reconstructing acoustic radiation from arbitrarily shaped objects, The Journal of the Acoustical Society of America, vol.112, issue.1, pp.179-188, 2002.
DOI : 10.1121/1.1487845

S. Yan, Optimal design of FIR beamformer with frequency invariant patterns, Applied Acoustics, vol.67, issue.6, pp.511-528, 2006.
DOI : 10.1016/j.apacoust.2005.09.008