F. S. Acton, Numerical methods that work, 1990.

. Agilent, GigaSample/second CMOS Current-Mode Parallel- Pipeline ADCs, 2004.

P. Aldebert, Simulation en régime transitoire des bruits dans les circuitséleccircuitsélectroniques, 1994.

R. Baines, The DSP bottleneck, IEEE Communications Magazine, vol.33, issue.5, pp.46-54, 1995.
DOI : 10.1109/35.392999

W. C. Black and D. A. Hodges, Time interleaved converter arrays, IEEE Journal on Solid-State Circuits, issue.6, pp.1022-1029, 1980.
DOI : 10.1109/isscc.1980.1156111

S. Ciochina, Prelucrarea numerica a semnalelor, Litografia UPB, 1996.

J. Collette, M. Barret, P. Duhamel, and J. Oksman, On hybrid filter bank A/D converters with arbitrary over-sampling rate, ISPA 2005. Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis, 2005., pp.157-160, 2005.
DOI : 10.1109/ISPA.2005.195402

J. Collette, M. Barret, and J. Oksman, Synthesis of hybrid filter banks for A/D conversion : a frequency domain approach, 12th European Signal Processing Conference, pp.109-112, 2004.

R. F. Cormier, Wideband analog to digital conversion using bandpass sigmadelta modulator and multirate digital filter bank, 1994.

R. F. Cormier, T. L. Sculley, and R. H. Bamberger, Combining subband decomposition and sigma delta modulation for wideband A/D conversion, Proceedings of IEEE International Symposium on Circuits and Systems, ISCAS '94, pp.5357-5360, 1994.
DOI : 10.1109/ISCAS.1994.409381

M. Cummings and S. Haruyama, FPGA in the software radio, IEEE Communications Magazine, vol.37, issue.2, pp.108-112, 1999.
DOI : 10.1109/35.747258

J. Eklund and F. Gustafsson, Digital offset compensation of time-interleaved ADC using random chopper sampling, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), pp.447-450, 2000.
DOI : 10.1109/ISCAS.2000.856093

A. Eshraghi and T. S. Fiez, A comparison of three parallel ?? A/D converters, Proceedings of IEEE International Symposium on Circuits and Systems, pp.517-520, 1996.

A. Eshraghi and T. S. Fiez, A time-interleaved parallel ?? A/D converter, IEEE Transactions on Circuits and Systems-II : Analog and Digital Signal Processing, pp.118-129, 2003.

A. Eshraghi and T. S. Fiez, A Comparative Analysis of Parallel Delta???Sigma ADC Architectures, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.51, issue.3, pp.450-458, 2004.
DOI : 10.1109/TCSI.2004.823663

P. M. Furth, A continuous-time bandpass filter implemented in subthreshold CMOS with large signal stabiliy, Proceedings of Midwest Symposium on Circuits and Systems Dedicated to the Memory of Professor Mac Van Valkenburg, pp.264-271, 1998.

I. Galton and H. T. Jensen, Delta-Sigma modulator based A/D conversion without oversampling, IEEE Transactions on Circuits and Systems-II : Analog and Digital Signal Processing, pp.773-783, 1995.
DOI : 10.1109/82.476175

I. Galton and H. T. Jensen, Oversampling parallel delta-sigma modulator A/D conversion, IEEE Transactions on Circuits and Systems-II : Analog and Digital Signal Processing, pp.801-810, 1996.
DOI : 10.1109/82.553396

S. Görner, A. Potchnikov, and R. Reemtsen, The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method, Optimization and Engineering, vol.1, issue.2, pp.123-154, 2000.
DOI : 10.1023/A:1010067012248

Y. C. Jenq, Digital spectra of nonuniformly sampled signals: fundamentals and high-speed waveform digitizers, IEEE Transactions on Instrumentation and Measurement, vol.37, issue.2, pp.245-251, 1988.
DOI : 10.1109/19.6060

Y. C. Jenq, Digital spectra of nonuniformly sampled signals: a robust sampling time offset estimation algorithm for ultra high-speed waveform digitizers using interleaving, IEEE Transactions on Instrumentation and Measurement, vol.39, issue.1, pp.71-75, 1990.
DOI : 10.1109/19.50419

H. Jin and K. F. Lee, A digital-background calibration technique for minimizing timing-error effects in time-interleaved ADCs, IEEE Transactions on Circuits and Systems II, vol.47, issue.7, pp.603-613, 2000.

J. L. Brown-jr, Multi-channel sampling of low-pass signals, IEEE Transactions on Circuits and Systems, vol.28, issue.2, pp.101-106, 1981.
DOI : 10.1109/TCS.1981.1084954

R. Khoini-poorfard, Mismatch effects in time-interleaved oversampling converters, Proceedings of IEEE International Symposium on Circuits and Systems, ISCAS '94, pp.429-432, 1994.
DOI : 10.1109/ISCAS.1994.409401

R. Khoini-poorfard and D. A. Johns, Time-interleaved oversampling convertors, Electronics Letters, vol.29, issue.19, pp.1673-1674, 1993.
DOI : 10.1049/el:19931112

E. T. King, A. Eshraghi, I. Galton, and T. S. Fiez, A Nyquist-rate delta-sigma A/D converter, IEEE Journal of Solid-State Circuits, vol.33, issue.1, pp.45-52, 1998.
DOI : 10.1109/4.654936

N. Kurosawa, Explicit analysis of channel mismatch effects in time-interleaved ADC systems, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.48, issue.3, pp.261-271, 2001.
DOI : 10.1109/81.915383

J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, Convergence properties of the Nelder -Mead simplex algorithm in low dimensions, Tech. Rep, 1997.

E. Lahalle, D. Poulton, and J. Oksman, CAR identification from non-uniformly sampled values using LMS, IEEE International Midwest Symposium on Circuits and Systems, 2005.

L. E. Larson, High-speed analog-to-digital conversion with GaAs technology: prospects, trends and obstacles, 1988., IEEE International Symposium on Circuits and Systems, pp.2871-2879, 1988.
DOI : 10.1109/ISCAS.1988.15538

C. Lelandais-perrault, D. Poulton, and J. Oksman, Synthesis of hybrid filter banks for A/D conversion with implementation constraints -direct approach-, 2003 46th Midwest Symposium on Circuits and Systems, 2003.
DOI : 10.1109/MWSCAS.2003.1562231

C. Lelandais-perrault, D. Poulton, and J. Oksman, Band-pass hybrid filter bank A/D converters with software-controlled bandwidth and resolution, Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005., pp.51-54, 2005.
DOI : 10.1109/ECCTD.2005.1522907

C. Lelandais-perrault, D. Silion, T. Petrescu, and D. Poulton, Hybrid filter banks A/D converters using IIR synthesis filters, 48th Midwest Symposium on Circuits and Systems, 2005., 2005.
DOI : 10.1109/MWSCAS.2005.1594402

M. Looney, Advanced digital post-processing techniques enhance performance in time-interleaved ADC systems, Analog Dialogue, vol.37, issue.8, 2003.

P. Löwenborg, Analysis and Synthesis of Asymmetric Filter Banks with Application to Analog-to-Digital Conversion, 2001.

P. Löwenborg and H. Johansson, Quantization noise in filter bank analog-todigital converters, Proceedings of IEEE International Symposium on Circuits and Systems, pp.601-604, 2001.

P. Löwenborg, H. Johansson, and L. Wanhammar, A class of two-channel hybrid analog/digital filter banks, 42nd Midwest Symposium on Circuits and Systems (Cat. No.99CH36356), pp.14-17, 1999.
DOI : 10.1109/MWSCAS.1999.867197

P. Löwenborg, H. Johansson, and L. Wanhammar, On the frequency response of M -channel mixed analog and digital maximally decimated filter banks, Proceedings of European Conference on Circuit Theory and Design, pp.321-324, 1999.

P. Löwenborg, H. Johansson, and L. Wanhammar, A class of two-channel aproximately perfect reconstruction hybrid analog/digital filter banks, Proceedings of IEEE International Symposium on Circuits and Systems, pp.579-582, 2000.

P. Löwenborg, H. Johansson, and L. Wanhammar, A class of two-channel hybrid analog/digital filter banks, 42nd Midwest Symposium on Circuits and Systems (Cat. No.99CH36356), 2000.
DOI : 10.1109/MWSCAS.1999.867197

P. Löwenborg, H. Johansson, and L. Wanhammar, A two-channel hybrid analog and IIR filter bank aproximating perfect magnitude reconstruction, Proceedings of IEEE Nordic Signal Processing Symposium, 2000.

P. Löwenborg, H. Johansson, and L. Wanhammar, Analysis of gain and timeskew errors in filter bank based A/D converters, Proceedings of IEEE Midwest Symposium on Circuits and Systems, 2001.

P. Löwenborg, H. Johansson, and L. Wanhammar, Two-channel digital and hybrid analog/digital multirate filter banks with very low-complexity analysis or synthesis filters, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol.50, issue.7, pp.355-367, 2003.
DOI : 10.1109/TCSII.2003.813589

A. Mateescu, N. Dumitriu, and L. Stanciu, Semnale si sisteme -Aplicatiî ?n filtrarea semnalelor, 2001.

R. Mina and J. Naviner, Filtrage RF pour les terminaux mobiles et impact de l'´ evolution de la technologie CMOS sur les circuits RF, Présentation séminaires du groupe SIAM -Telecom

J. Mitola, Software radios-survey, critical evaluation and future directions, National Telesystems Conference, pp.13-15, 1992.

J. Mitola, The software radio architecture, IEEE Communications Magazine, vol.33, issue.5, pp.26-37, 1995.
DOI : 10.1109/35.393001

J. Mitola and G. Maguire, Cognitive radio: making software radios more personal, IEEE Personal Communications, vol.6, issue.4, pp.13-18, 1999.
DOI : 10.1109/98.788210

J. J. Moré and D. C. Sorensen, Computing a Trust Region Step, SIAM Journal on Scientific and Statistical Computing, vol.4, issue.3, pp.553-572, 1983.
DOI : 10.1137/0904038

O. Oliaei, Asymptotically perfect reconstruction in hybrid filter banks, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), pp.1829-1832, 1998.
DOI : 10.1109/ICASSP.1998.681818

O. Oliaei, High-speed A/D and D/A converters using hybrid filter banks, 1998 IEEE International Conference on Electronics, Circuits and Systems. Surfing the Waves of Science and Technology (Cat. No.98EX196), pp.143-146, 1998.
DOI : 10.1109/ICECS.1998.813289

A. Papoulis, Generalized sampling expansion, IEEE Transactions on Circuits and Systems, vol.24, issue.11, pp.652-654, 1977.
DOI : 10.1109/TCS.1977.1084284

A. Petraglia and S. K. Mitra, Analysis of mismatch effects among A/D converters in a time-interleaved waveform digitizer, IEEE Transactions on Instrumentation and Measurement, vol.40, issue.5, pp.831-835, 1991.
DOI : 10.1109/19.106306

A. Petraglia and S. K. Mitra, High-speed A/D conversion incorporating a QMF bank, IEEE Transactions on Instrumentation and Measurement, vol.41, issue.3, pp.427-431, 1992.
DOI : 10.1109/19.153341

A. Petraglia and M. A. Pinheiro, Effects of quantization noise in parallel arrays of analog-to-digital converters, Proceedings of IEEE International Symposium on Circuits and Systems, ISCAS '94, pp.337-340, 1994.
DOI : 10.1109/ISCAS.1994.409375

T. Petrescu, C. Lelandais-perrault, and J. Oksman, Synthesis of hybrid filter banks for A/D conversion with implementation constraints - mixed distortion/aliasing optimization $, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.997-1000, 2004.
DOI : 10.1109/ICASSP.2004.1326428

T. Petrescu and J. Oksman, Synthesis of hybrid filter banks for A/D conversion with implementation constraints -optimized frequency response approach -, 2003 46th Midwest Symposium on Circuits and Systems, 2003.
DOI : 10.1109/MWSCAS.2003.1562273

T. Petrescu and J. Oksman, Sensitivity of Hybrid Filter Banks A/D Converters to Analog Realization Errors and Finite Word Length, 2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006.
DOI : 10.1109/ICASSP.2006.1660665

URL : https://hal.archives-ouvertes.fr/hal-00261350

T. Petrescu, J. Oksman, and P. Duhamel, Synthesis of Hybrid Filter Banks by Global Frequency Domain Least Square Solving, 2005 IEEE International Symposium on Circuits and Systems, 2005.
DOI : 10.1109/ISCAS.2005.1465898

M. A. Pinheiro, P. B. Batalheiro, A. Petraglia, and M. R. Petraglia, Improving the near-perfect hybrid filter bank performance in the presence of

M. A. Pinheiro and A. Petraglia, On the performance of discrete-time hybrid filter banks with coefficient errors and arma stochastic process input, Proceedings of IEEE International Symposium on Circuits and Systems, pp.521-524, 2004.

K. Poulton, J. J. Corcoran, and T. Hornak, A 1-GHz 6-bit ADC system, IEEE Journal of Solid-State Circuits, vol.22, issue.6, pp.1781-1789, 1987.
DOI : 10.1109/JSSC.1987.1052844

K. Poulton, R. Neff, B. Stterberg, B. Wuppermann, T. Kopley et al., A 20 GS/s 8 b ADC with a 1 MB memory in 0, p.18

S. Razafimandimby, C. Tilhac, A. Kaiser, A. Cathelin, and D. Belot, Nouvelle configuration de filtre RF accordable en fréquence utilisant des résonateurs BAW pour une cha??necha??ne de réception homodyne WCDMA, TAISA 2005, pp.99-106, 2005.

P. Regalia, Comments on "A weighted least-squares method for the design of stable 1-D and 2-D IIR digital filters" [with reply], IEEE Transactions on Signal Processing, vol.47, issue.7, pp.2063-2065, 1999.
DOI : 10.1109/78.771058

V. P. Sathe and P. P. Vaidyanathan, Effects of Multirate Systems on the Statistical Properties of Random Signals, IEEE Transactions on Signal Processing, vol.41, issue.1, pp.131-146, 1993.
DOI : 10.1109/TSP.1993.193133

H. Shu, T. Chen, and B. A. Francis, Minmax design of hybrid multirate filter banks, IEEE Transactions on Circuits and Systems-II : Analog and Digital Signal Processing, pp.120-128, 1997.

J. Stoer and R. Bulirsch, Introduction to numerical analysis, 1980.

G. Strang, Linear algebra and its applications, 1980.

T. Instruments and F. Worth, TX, Data Converter Selection Guide, 2004.

C. Toumazou and D. G. Haigh, Integrated microwave continuous-time active filters using fully tunable GaAs transconductors, 1991., IEEE International Sympoisum on Circuits and Systems, pp.1765-1768, 1991.
DOI : 10.1109/ISCAS.1991.176745

W. H. Tuttlebee, Software-defined radio: facets of a developing technology, IEEE Personal Communications, vol.6, issue.2, pp.38-44, 1999.
DOI : 10.1109/98.760422

P. P. Vaidyanathan, Multirate Systems and Filter Banks, 1993.

P. P. Vaidyanathan and V. C. Liu, Classical sampling theorems in the context of multirate and polyphase digital filter bank structures, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.36, issue.9, pp.1480-1495, 1998.
DOI : 10.1109/29.90376

R. G. Vaughan, N. L. Scott, and D. R. White, The theory of bandpass sampling, IEEE Transactions on Signal Processing, vol.39, issue.9, pp.1973-84, 1991.
DOI : 10.1109/78.134430

S. R. Velazquez, Adaptive parallel processing analog and digital converter, pp.390-391, 2002.

S. R. Velazquez, Hybrid filter bank analog/digital converter, p.142, 1996.

S. R. Velazquez, Parallel processing analog and digital converter, p.893, 2001.

S. R. Velazquez, A hybrid filter bank approach to analog-to-digital conversion, Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis, 1997.
DOI : 10.1109/TFSA.1994.467350

S. R. Velazquez, High-performance advanced filter bank analog-to-digital converter for universal RF receivers, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380), pp.229-232, 1998.
DOI : 10.1109/TFSA.1998.721403

S. R. Velazquez, T. Q. Nguyen, and S. R. Broadstone, Design of hybrid filter banks for analog/digital conversion, IEEE Transactions on Signal Processing, vol.46, issue.4, pp.956-967, 1998.
DOI : 10.1109/78.668549

S. R. Velazquez, T. Q. Nguyen, S. R. Broadstone, and J. K. Roberge, A hybrid filter bank approach to analog-to-digital conversion, Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis, pp.116-119, 1994.
DOI : 10.1109/TFSA.1994.467350

C. Vogel, Comprehensive, error analysis of combined channel mismatch effects in time-interleaved ADCs, Proceedings of the 20th IEEE Instrumentation Technology Conference (Cat. No.03CH37412), pp.733-738, 2003.
DOI : 10.1109/IMTC.2003.1208253

R. H. Walden, Analog-to-digital converter survey and analysis, IEEE Journal on Selected Areas in Communications, vol.17, issue.4, pp.530-550, 1999.
DOI : 10.1109/49.761034

J. A. Wepman, Analog-to-digital converters and their applications in radio receivers, IEEE Communications Magazine, vol.33, issue.5, pp.39-45, 1995.
DOI : 10.1109/35.393000

C. E. Woodward, K. H. Konkle, and M. L. Naiman, A monolithic voltagecomparator array for A/D converters, IEEE J. Solid-State Circuits, issue.6, pp.392-399, 1975.

K. C. Zangi and R. D. Koilpillai, Software radio issues in cellular base stations, IEEE Journal on Selected Areas in Communications, vol.17, issue.4, pp.561-573, 1999.
DOI : 10.1109/49.761036

. Or, les filtres de synthèsé etant numériques, leurs coefficients peuvent ? etre modifiés par logiciel en fonction des besoins Nous avons exploité cette idée et obtenu une méthode qui permet d'améliorer la résolution potentielle dans une bande de fréquence restreinte. Enfin, les méthodes présentées jusqu'alors trouvent un banc de filtres numériquesnumériquesà réponse impulsionnelle finie (RIF). Or on peut aussi penseràpenserà utiliser des filtresàfiltresà réponse impulsionnelle infinie (RII) LesétudesLesétudes ont montré que dans certains cas