J. W. Adams, A new optimal window (signal processing), IEEE Transactions on Signal Processing, vol.39, issue.8, pp.1753-1769, 1991.
DOI : 10.1109/78.91146

M. Ahro, J. Kauppinen, and I. Salomaa, Detection and correction of instrumental line-shape distortions in Fourier spectroscopy, Applied Optics, vol.39, issue.33, pp.6230-6237, 2000.
DOI : 10.1364/AO.39.006230

A. Ambardar, Analog and Digital Signal Processing, 1995.

D. H. Bailey, N. Paul, and . Swarztrauber, The Fractional Fourier Transform and Applications, SIAM Review, vol.33, issue.3, pp.389-404, 1991.
DOI : 10.1137/1033097

D. H. Bailey, N. Paul, and . Swarztrauber, ERRATA, 1992.
DOI : 10.1017/CBO9781139629423.003

D. H. Bailey, N. Paul, and . Swarztrauber, A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms, SIAM Journal on Scientific Computing, vol.15, issue.5, pp.1105-1110, 1994.
DOI : 10.1137/0915067

V. Barcilon and C. Gabor, Optimum impulse response and the van der Maas function, IEEE Transactions on Circuit Theory, vol.19, issue.4, pp.336-442, 1972.
DOI : 10.1109/TCT.1972.1083478

L. I. Bluestein, A linear filtering approach to the computation of discrete Fourier transform, IEEE Transactions on Audio and Electroacoustics, vol.18, issue.4, pp.451-455, 1970.
DOI : 10.1109/TAU.1970.1162132

M. Born and E. Wolf, Principles of Optics, 1999.
DOI : 10.1017/CBO9781139644181

J. Bouchard, Étude expérimentale de la forme de raie des spectromètres à transformation de Fourier, Thèse de doctorat, 2004.

M. L. Forman, W. H. Steel, and G. A. Vanasse, Correction of Asymmetric Interferograms Obtained in Fourier Spectroscopy*, Journal of the Optical Society of America, vol.56, issue.1, pp.59-63, 1966.
DOI : 10.1364/JOSA.56.000059

M. Frigo, S. G. Johnson, «. Fftw-fft, and ». Dans, An adaptive software architecture for the, Proceedings of the 1998 IEEE International Confonference on Acoustics Speech and Signal Processing, pp.1381-1384, 1998.

W. A. Gault, F. Sean, . Johnston, J. W. David, and . Kendall, Optimization of a field-widened Michelson interferometer, Applied Optics, vol.24, issue.11, pp.1604-1608, 1985.
DOI : 10.1364/AO.24.001604

N. C. Geçkinli and . Et-davras-yavuz, Some novel windows and a concise tutorial comparison of window families, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.26, issue.6, pp.501-507, 1978.
DOI : 10.1109/TASSP.1978.1163153

J. Genest, Théorie de la cohérence optique et modélisation de la forme de raie des spectromètres par transformation de Fourier, Thèse de doctorat, 2001.

J. Genest and P. Tremblay, Instrument line shape of Fourier transform spectrometers: analytic solutions for nonuniformly illuminated off-axis detectors, Applied Optics, vol.38, issue.25, pp.5438-5446, 1999.
DOI : 10.1364/AO.38.005438

J. Genest and P. Tremblay, Impact of the optical aberrations on the line shape of Fourier-transform spectrometers, Vibrational Spectroscopy, vol.29, issue.1-2, pp.3-13, 2002.
DOI : 10.1016/S0924-2031(01)00171-0

J. Genest and P. Tremblay, Understanding Fourier-Transform Spectrometers, Notes de cours, 2003.

J. Giroux, Seventh Workshop on Infrared Emission Measurements by FTIR, ABB, 2004.

I. S. Gradshteyn, M. Et-iosif, and . Ryzhik, Table of Integrals, Series and Products, p.5, 1994.

C. Hansen, Deconvolution and regularization with Toeplitz matrices, » Numerical Algorithms, pp.323-378, 2002.

F. J. Harris, On the use of windows for harmonic analysis with the discrete Fourier transform, Proceedings of the IEEE, pp.51-83, 1978.
DOI : 10.1109/PROC.1978.10837

F. Hase, T. Blumenstock, and C. Paton-walsh, Analysis of the instrumental line shape of high-resolution Fourier transform IR spectrometers with gas cell measurements and new retrieval software, Applied Optics, vol.38, issue.15, pp.3417-3422, 1999.
DOI : 10.1364/AO.38.003417

R. L. Hilliard, G. Et-gordon, and . Shepherd, Wide-Angle Michelson Interferometer for Measuring Doppler Line Widths*, Journal of the Optical Society of America, vol.56, issue.3, pp.362-369, 1966.
DOI : 10.1364/JOSA.56.000362

P. Jacquinot, The Luminosity of Spectrometers with Prisms, Gratings, or Fabry-Perot Etalons, Journal of the Optical Society of America, vol.44, issue.10, pp.761-765, 1954.
DOI : 10.1364/JOSA.44.000761

R. Kreminski and . Newton, Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants, Mathematics of Computation, vol.72, issue.243, pp.1379-1397, 2002.
DOI : 10.1090/S0025-5718-02-01483-7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.4444

R. G. Kulkarni, Polynomial windows with fast decaying sidelobes for narrow-band signals, Signal Processing, vol.83, issue.6, pp.1145-1149, 2003.
DOI : 10.1016/S0165-1684(03)00019-7

E. Lanoue, Modèle de bruit et correction de phase pour un spectromètre par transformation de Fourier pour le domaine des télécommunications optiques, 2004.

E. V. Loewenstein, On the Correction of Phase Errors in Interferograms, Applied Optics, vol.2, issue.5, pp.491-494, 1963.
DOI : 10.1364/AO.2.000491

L. Mertz, Transformations in Optics, 1965.

L. Mertz, Auxiliary computation for Fourier spectrometry, Infrared Physics, vol.7, issue.1, pp.17-23, 1967.
DOI : 10.1016/0020-0891(67)90026-7

L. Mertz and . Fourier-spectroscopy, Fourier Spectroscopy, Past, Present, and Future, Applied Optics, vol.10, issue.2, pp.386-389, 1971.
DOI : 10.1364/AO.10.000386

A. A. Michelson, « On the Application of Interference Methods to Spectroscopic Measurements I, » The Philosophical Magazine, pp.338-346, 1891.

A. A. Michelson, « On the application of interference methods to spectroscopic measurements II, » The Philosophical Magazine, pp.280-299

M. V. Murty, Some More Aspects of the Michelson Interferometer with Cube Corners, Journal of the Optical Society of America, vol.50, issue.1, pp.7-10, 1960.
DOI : 10.1364/JOSA.50.000007

E. Niple, A. Pires, and K. Poultney, « Exact modeling of lineshape and wavenumber variations for off-axis detectors in Fourier transform spectrometers (FTS) sensor systems, » dans : R. J. Huppi, éditeur, « Technologies of Cryogenically Cooled Sensors and Fourier Transform Spectrometers II, Proceedings of SPIE 0364, pp.11-20, 1982.

R. H. Norton, R. Et, and . Beer, New apodizing functions for Fourier spectrometry, Journal of the Optical Society of America, vol.66, issue.3, pp.259-264, 1976.
DOI : 10.1364/JOSA.66.000259

A. H. Nuttal, Some windows with very good sidelobe behavior, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.29, issue.1, pp.84-91, 1981.
DOI : 10.1109/TASSP.1981.1163506

H. Nyquist, « Certain topics in telegraph transmission theory, AIEE Transactions, pp.617-644, 1928.
DOI : 10.1109/t-aiee.1928.5055024

O. Shea and C. Donald, Elements of Modern Optical Design, 1985.

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing, 2001.

M. J. Persky, A review of spaceborne infrared Fourier transform spectrometers for remote sensing, Review of Scientific Instruments, vol.66, issue.10, pp.4763-4797, 1995.
DOI : 10.1063/1.1146154

K. Rahmelow and W. Hübner, Phase correction in Fourier transform spectroscopy: subsequent displacement correction and error limit, Applied Optics, vol.36, issue.26, pp.6678-6686, 1997.
DOI : 10.1364/AO.36.006678

P. Raspollini, P. Ade, B. Carli, and M. Ridolfi, Correction of Instrument Line-Shape Distortions in Fourier Transform Spectroscopy, Applied Optics, vol.37, issue.17, pp.3697-3704, 1998.
DOI : 10.1364/AO.37.003697

H. E. Revercomb, H. Buijs, H. B. Howell, D. D. Laporte, W. L. Smith et al., Radiometric calibration of IR Fourier transform spectrometers: solution to a problem with the High-Resolution Interferometer Sounder, Applied Optics, vol.27, issue.15, pp.3210-3218, 1988.
DOI : 10.1364/AO.27.003210

S. O. Rice, Mathematical Analysis of Random Noise, Bell System Technical Journal, vol.23, issue.3, pp.282-332, 1944.
DOI : 10.1002/j.1538-7305.1944.tb00874.x

A. M. Romanov, E. M. Et, and . Sharov, « Method of minimizing phase correction error in a Fourier spectrometer, Optics and Spectroscopy, vol.64, issue.4, pp.546-549, 1988.

S. Saeid, K. Hawar-et-jai, and . Gautam, New hyperbolic function window family, Electronics Letters, vol.33, issue.18, pp.1531-1532, 1997.
DOI : 10.1049/el:19971022

H. Sakai, G. A. Vanasse, and M. L. Forman, Spectral Recovery in Fourier Spectroscopy, Journal of the Optical Society of America, vol.58, issue.1, pp.84-90, 1968.
DOI : 10.1364/JOSA.58.000084

I. K. Salomaa, Line Shape Distortion in a Cube Corner Interferometer Due to Lateral Shift of a Cube Corner, Applied Spectroscopy, vol.53, issue.8, pp.902-908, 1999.
DOI : 10.1366/0003702991947702

R. B. Sanderson, E. E. Et, and . Bell, Multiplicative Correction of Phase Errors in Fourier Spectroscopy, Applied Optics, vol.12, issue.2, pp.266-270, 1973.
DOI : 10.1364/AO.12.000266

E. Sarkissian and K. W. Bowman, Application of a nonuniform spectral resampling transform in Fourier-transform spectrometry, Applied Optics, vol.42, issue.6, pp.1122-1131, 2003.
DOI : 10.1364/AO.42.001122

A. Sekey, Oscillatory Decay of Band-Limited Impulse Responses, IEEE Transactions on Education, vol.13, issue.1, pp.57-58, 1970.
DOI : 10.1109/TE.1970.4320552

C. E. Shannon, « Communication in the presence of noise, Proceedings of the IRE, pp.10-21, 1949.

«. Wimperis and . Wamdii, Wide-angle Michelson imaging interferometer for Spacelab, Applied Optics, vol.24, issue.11, pp.1571-1584, 1985.

M. Szyper, Time domain window, New time domain window, pp.707-708, 1995.
DOI : 10.1049/el:19950494

. Temes, C. Gabor, C. Victor-barcilon-et-fred, and . Marshall, The optimization of bandlimited systems, Proceedings of the IEEE, pp.196-234, 1973.
DOI : 10.1109/PROC.1973.9004

G. J. Van-der-maas, A Simplified Calculation for Dolph???Tchebycheff Arrays, Journal of Applied Physics, vol.25, issue.1, pp.121-124, 1954.
DOI : 10.1063/1.1721495

Y. Viniotis, Probability and Random Processes for Electrical Engineers, 1998.

S. Yang and Y. Ke, On the three-coefficient window family, IEEE Transactions on Signal Processing, vol.40, issue.12, pp.3085-3088, 1992.
DOI : 10.1109/78.175756

B. K. Yap, W. A. Blumberg, R. E. Murphy, and . Off, Off-axis effects in a mosaic Michelson interferometer, Applied Optics, vol.21, issue.22, pp.4176-4182, 1982.
DOI : 10.1364/AO.21.004176

H. H. Zwick, G. Et-gordon, and . Shepherd, Defocusing a Wide-Angle Michelson Interferometer, Applied Optics, vol.10, issue.11, pp.2569-2571, 1971.
DOI : 10.1364/AO.10.002569