O. Chemin-optimal-pour-la-et-la-démodulation, channelization, p.13

.. Version-en-gros-plan-de-la-fig, 69 42 Number of operators kept at different number of iterations, p.70

G. Screen-shot-of and .. For-drawing-graph-models, 161 4.4 GUI with parameters' adjustment window, p.162

A. Canonical-genetic, 178 5.7 A simplified representation of population of chromosomes, p.179

C. Crossover-rule-in, 179 5.9 Mutation rule in 180 5.10 A generic view of SDR equipment 181 5.11 Results of running ES on generic design example 183 5.12 Results of running ES on generic design example with good solutions . . . 184 5.13 Results of running SA on generic design example, Results of running CGA on generic design example . . . . . . . . . . . . . . 186 5.15 Processing elements retained at different iterations, p.187

D. Frequency-domain-decoder and .. , 262 D.2 A frequency-domain decoder using the Forney algorithm, p.263

F. M. Torre, Speakeasy-a new direction in tactical communications for the 21st century, [1992] Proceedings of the Tactical Communications Conference, pp.139-142, 1992.
DOI : 10.1109/TCC.1992.247154

J. H. Reed, Software Radio: A Modern Approach to Radio Engineering, 2002.

J. P. Cummings, Software radios for airborne platforms, IEEE Journal on Selected Areas in Communications, vol.17, issue.4, pp.732-747, 1999.
DOI : 10.1109/49.761049

B. Tarver, E. Christensen, A. Miller, and E. R. Wing, Digital modular radio (DMR) as a maritime, Proc. Communications for Network-Centric Operations: Creating the Information Force. IEEE Military Communications Conference MILCOM 2001, pp.163-167, 2001.

N. Hayes, The JTRS SCA Specification... the Past, the Present, and the FUTURE..., MILCOM 2005, 2005 IEEE Military Communications Conference, pp.2713-2719
DOI : 10.1109/MILCOM.2005.1606076

D. L. Tennenhouse, T. Turletti, and V. G. Bose, The SpectrumWare testbed for ATM-based software radios, Proceedings of ICUPC, 5th International Conference on Universal Personal Communications, pp.915-917, 1996.
DOI : 10.1109/ICUPC.1996.562711

M. Raulet, Optimisations Mémoire dans la Méthodologie AAA pour Code Embarqué sur Architectures Parallèles, Institut National des Sciences Appliquées (INSA) de Rennes, 2006.

W. H. Tuttlebee, Software Defined Radio: Enabling Technologies, 2002.

A. R. Rhiemeier, Benefits and Limits of Parameterized Channel Coding for Software Radio, Proc. 2 nd Karlsruhe Workshop on Software Radios, pp.107-112, 2002.

J. Palicot and C. Roland, FFT: a basic function for a reconfigurable receiver, 10th International Conference on Telecommunications, 2003. ICT 2003., pp.898-902, 2003.
DOI : 10.1109/ICTEL.2003.1191527

L. Alaus, D. Noguet, and J. Palicot, Extended Reconfigurable Linear FeedBack Shift Register Operators for Software Defined Radio, 2008 IEEE 10th International Symposium on Spread Spectrum Techniques and Applications, pp.677-681, 2008.
DOI : 10.1109/ISSSTA.2008.132

A. Ghouwayel, Y. Louet, and J. Palicot, A Reconfigurable Butterfly Architecture for Fourier and Fermat transform, Proc. 4 th Karlsruhe Workshop on Software Radios, pp.146-151, 2006.

V. Rodriguez, C. Moy, and J. Palicot, Install or invoke?: The optimal trade-off between performance and cost in the design of multi-standard reconfigurable radios, Wireless Communications and Mobile Computing, vol.6, issue.9, pp.1143-1156, 2007.
DOI : 10.1002/wcm.487

URL : https://hal.archives-ouvertes.fr/hal-00182781

J. L. Gross and J. Yellen, Handbook of Graph Theory (Discrete Mathematics and Its Applications), 2004.

E. L. Lawler, J. K. Lenstra, A. H. Kan, and D. B. Schmoys, The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization., The Journal of the Operational Research Society, vol.37, issue.5, 1985.
DOI : 10.2307/2582681

G. B. Dantzig, D. R. Fulkerson, and S. M. Johnson, Solution of a Large-Scale Traveling-Salesman Problem, Journal of the Operations Research Society of America, vol.2, issue.4, pp.393-410, 1954.
DOI : 10.1287/opre.2.4.393

M. W. Padberg and G. Rinaldi, Optimization of a 532-city symmetric traveling salesman problem by branch and cut, Operations Research Letters, vol.6, issue.1, pp.1-7, 1987.
DOI : 10.1016/0167-6377(87)90002-2

E. W. Dijkstra, A note on two problems in connexion with graphs, Numerische Mathematik, vol.4, issue.1, pp.269-271, 1959.
DOI : 10.1007/BF01386390

J. R. Edmonds, Paths, trees, and flowers, Proc. 3 rd Annual ACM Symp. Theory of Computing, pp.449-467, 1965.
DOI : 10.4153/CJM-1965-045-4

R. M. Karp, Reducibility among combinatorial problems, 1972.
DOI : 10.1007/978-3-540-68279-0_8

Y. Sorel, Real-time embedded image processing applications using the A/sup 3/ methodology, Proceedings of 3rd IEEE International Conference on Image Processing, pp.145-148, 1996.
DOI : 10.1109/ICIP.1996.560623

M. Raulet, F. Urban, J. F. Nezan, C. Moy, O. Deforges et al., SynDEx Executive Kernels for Fast Developments of Applications Over Heterogeneous Architectures, European Signal Processing Conference (EUSIPCO'05), 2005.
URL : https://hal.archives-ouvertes.fr/hal-00084161

J. P. Delahaye, P. Leray, C. Moy, and J. Palicot, Managing Dynamic Partial Reconfiguration on Heterogeneous SDR Platforms, SDR Forum Technical Confer- ence'05, 2005.

J. P. Delahaye, J. Palicot, C. Moy, and P. Leray, Partial Reconfiguration of FPGAs for Dynamical Reconfiguration of a Software Radio Platform, 2007 16th IST Mobile and Wireless Communications Summit, 2007.
DOI : 10.1109/ISTMWC.2007.4299250

URL : https://hal.archives-ouvertes.fr/hal-00147698

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. Lotze, A. Fahmy, . Suhaib, . Noguera, . Juanjo et al., An FPGA-based cognitive radio framework, IET Irish Signals and Systems Conference (ISSC 2008), pp.138-143, 2008.
DOI : 10.1049/cp:20080652

C. A. Coello-coello, D. A. Van-veldhuizen, and G. B. Lamont, Evolutionary Algorithms for Solving Multi-Objective Problems, Kluwer Academic, vol.5, 2002.
DOI : 10.1007/978-1-4757-5184-0

K. S. Kondapalli and C. K. Chew, OPTIMAL DESIGN AND ANALYSIS OF A DC???DC SYNCHRONOUS CONVERTER USING GENETIC ALGORITHM AND SIMULATED ANNEALING, International Journal of Modelling and Simulation, vol.29, issue.3, pp.4823-4840, 2009.
DOI : 10.2316/Journal.205.2009.3.205-4823

U. B. Nallamottu, T. L. Chambers, and W. Simon, Comparison of the Genetic Algorithm to Simulated Annealing Algorithm in Solving Transportation Locationallocation Problems With Euclidean Distances, Proc. American Society for Engineering Education (ASEE) Gulf-Southwest Annual Conference, 2002.

L. Ingber, Adaptive simulated annealing (ASA): Lessons learned, Journal of Control and Cybernetics: Special issue on Simulated Annealing Applied to Combinatorial Optimization, 1995.

C. Ortiz-alemán, R. Martin, J. C. Gamio, and A. Nicolas, Application of Simulated Annealing and Genetic Algorithms to the Reconstruction of Electrical Permittivity Images in Capacitance Tomography, 3 rd World Congress on Industrial Process Tomography, 2003.

J. Fourier, Théorie Analytique de la Chaleur/The Analytical Theory of Heat, translated by Alexander Freeman, 2003.

J. W. Cooley and J. W. Tukey, An algorithm for the machine calculation of complex Fourier series, Mathematics of Computation, vol.19, issue.90, pp.297-301, 1965.
DOI : 10.1090/S0025-5718-1965-0178586-1

A. Ghouwayel, Y. Louet, and J. Palicot, A reconfigurable architecture for the FFT operator in a software radio context, 2006 IEEE International Symposium on Circuits and Systems, p.4, 2006.
DOI : 10.1109/ISCAS.2006.1692552

URL : https://hal.archives-ouvertes.fr/hal-00083990

W. W. Yu and S. Xing, Fixed-Point Multiplier Evaluation and Design with FPGA, Proc. Society of Photographic Instrumentation Engineers (SPIE), 1999.

S. T. Gul, A. Ghouwayel, C. Moy, and Y. Louët, A novel design of reconfigurable Fourier transform operator over (C) and GF (F<SUB align=right>t) for future multi-standards SDR equipments, International Journal of Communication Networks and Distributed Systems, vol.4, issue.4, 2009.
DOI : 10.1504/IJCNDS.2010.033159

L. Alaus, D. Noguet, and J. Palicot, A reconfigurable linear feedback shift register operator for software defined radio terminal, 2008 3rd International Symposium on Wireless Pervasive Computing, pp.319-323, 2008.
DOI : 10.1109/ISWPC.2008.4556222

URL : https://hal.archives-ouvertes.fr/hal-00345382

S. T. Gul, L. Alaus, C. Moy, J. Palicot, and D. Noguet, Optimal set of LFSR Common Operators for Multi-Standards Cognitive Radio Terminals, International Journal of Autonomous and Adaptive Communications-IJAACS, Special Issue on Cognitive Radio Systems, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00421254

R. Mahesh and A. P. Vinod, Reconfigurable Frequency Response Masking Filters for Software Radio Channelization, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.55, issue.3, pp.274-278, 2008.
DOI : 10.1109/TCSII.2008.918996

L. Pucker, Channelization techniques for software defined radio, Proc. Spectrum Signal Processing Inc, pp.17-19, 2003.

C. Kim, S. Y. , S. Im, and W. Lee, SDR-based digital channelizer/de-channelizer for multiple CDMA signals, Proc. 52 nd Vehicular Technology Conference IEEE VTS-Fall VTC 2000, pp.2862-2869, 2000.

Y. C. Lim, Frequency-response masking approach for the synthesis of sharp linear phase digital filters, IEEE Transactions on Circuits and Systems, vol.33, pp.357-364, 1986.

M. Woh, S. Seo, H. Lee, Y. Lin, S. Mahlke et al., The Next Generation Challenge for Software Defined Radio, LNCS, vol.4599, pp.343-354, 2007.
DOI : 10.1007/978-3-540-73625-7_36

J. Mitola and I. , Software Radio Architecture: Object Oriented Approaches to Wireless Systems Engineering, 2000.
DOI : 10.1002/047121664X

J. Mitola and I. , Software radios-survey, critical evaluation and future directions, Proc. National Telesystems Conference NTC-92, pp.13-15, 1992.
DOI : 10.1109/ntc.1992.267870

J. Mitola and I. , Software radios: Survey, critical evaluation and future directions, IEEE Aerospace and Electronic Systems Magazine, vol.8, issue.4, pp.25-36, 1993.
DOI : 10.1109/62.210638

R. I. Lackey and D. W. , Speakeasy: the military software radio, IEEE Communications Magazine, vol.33, issue.5, pp.56-61, 1995.
DOI : 10.1109/35.392998

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

W. H. Tuttlebee, Software Defined Radio -Baseband Technology for 3G Handsets and Basestations, Book Review] Communications Engineer, vol.2, pp.46-47, 2004.

A. Ivers and D. Smith, A practical approach to the implementation of multiple radio configurations utilizing reconfigurable hardware and software building blocks, MILCOM 97 MILCOM 97 Proceedings, pp.1327-1332, 1997.
DOI : 10.1109/MILCOM.1997.644983

A. A. Kountouris, C. Moy, L. Rambaud, P. Le-corre, U. Gsm et al., A reconfigurable radio case study: a software based multi-standard transceiver for, Proc. VTC 2001 Fall Vehicular Technology Conference IEEE VTS 54th, pp.1196-1200, 2001.

O. Faust, B. Sputh, D. Nathan, S. Rezgui, A. Weisensee et al., A singlechip supervised partial self-reconfigurable architecture for software defined radio, Proc. International Parallel and Distributed Processing Symposium, pp.7-22

H. C. Miranda, P. C. Pinto, and S. B. Silva, A self-reconfigurable receiver architecture for software radio systems, Radio and Wireless Conference, 2003. RAWCON '03. Proceedings, pp.241-244, 2003.
DOI : 10.1109/RAWCON.2003.1227937

A. Pacifici, C. Vendetti, F. Frescura, and S. Cacopardi, A reconfigurable channel codec coprocessor for software radio multimedia applications, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03., pp.41-44, 2003.
DOI : 10.1109/ISCAS.2003.1205881

T. Hentschel and G. Fettweis, Sample rate conversion for software radio, IEEE Communications Magazine, vol.38, issue.8, pp.142-150, 2000.
DOI : 10.1109/35.860866

W. A. Abu-al-saud and G. L. Stuber, Efficient sample rate conversion for software radio systems, IEEE Transactions on Signal Processing, vol.54, issue.3, pp.932-939, 2006.
DOI : 10.1109/TSP.2005.861737

W. A. Abu-al-saud and G. L. Stuber, Modified CIC filter for sample rate conversion in software radio systems, IEEE Signal Processing Letters, vol.10, issue.5, pp.152-154, 2003.
DOI : 10.1109/LSP.2003.810023

J. A. García, Z. Gulobicic, F. Díaz, J. Alonso, J. Macleod et al., A TRUST Approach to Software Defined Radio : RF Considerations, tech. rep, 2001.

M. Mehta, N. Drew, G. Vardoulias, N. Greco, and C. Niedermeier, Reconfigurable terminals: an overview of architectural solutions, IEEE Communications Magazine, vol.39, issue.8, pp.82-89, 2001.
DOI : 10.1109/35.940041

M. Jian, W. H. Yung, and B. Songrong, An efficient IF architecture for dual-mode GSM/W-CDMA receiver of a software radio, Proc. IEEE International Workshop on Mobile Multimedia Communications (MoMuC '99), pp.21-24, 1999.

J. P. Dodley, R. H. Erving, and C. W. Rice, In-building software radio architecture, design and analysis, 11th IEEE International Symposium on Personal Indoor and Mobile Radio Communications. PIMRC 2000. Proceedings (Cat. No.00TH8525), pp.479-483, 2000.
DOI : 10.1109/PIMRC.2000.881470

W. Schacherbauer, A. Springer, T. Ostertag, C. C. Ruppel, and R. Weigel, A flexible multiband frontend for software radios using high IF and active interference cancellation, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157), pp.1085-1088, 2001.
DOI : 10.1109/MWSYM.2001.967080

A. Wiesler, Parametergesteuertes Software Radio für Mobilfunksysteme, Forschungsberichte aus dem Institut für Nachrichtentechnik, 2001.

J. Beach, M. Macleod, and P. Warr, Radio frequency translation for software defined radios in Software Defined Radio: Enabling Technologies, 2002.

P. B. Kenington and L. Astier, Power consumption of A/D converters for software radio applications, IEEE Transactions on Vehicular Technology, vol.49, issue.2, pp.643-650, 2000.
DOI : 10.1109/25.832996

J. Singh, High speed analog-to-digital converter for software radio applications, 11th IEEE International Symposium on Personal Indoor and Mobile Radio Communications. PIMRC 2000. Proceedings (Cat. No.00TH8525), pp.39-42, 2000.
DOI : 10.1109/PIMRC.2000.881387

J. P. Delahaye, J. Palicot, and P. Leray, A hierarchical modeling approach in software defined radio system design, IEEE Workshop on Signal Processing Systems Design and Implementation, 2005., pp.42-47, 2005.
DOI : 10.1109/SIPS.2005.1579836

URL : https://hal.archives-ouvertes.fr/hal-00773511

G. C. Ahlquist, M. Rice, and B. Nelson, Error control coding in software radios: an FPGA approach, IEEE Personal Communications, vol.6, issue.4, pp.35-39, 1999.
DOI : 10.1109/98.788213

M. C. Valenti, An efficient software radio implementation of the UMTS turbo codec, 12th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications. PIMRC 2001. Proceedings (Cat. No.01TH8598), pp.108-113, 2001.
DOI : 10.1109/PIMRC.2001.965330

V. B. Thara and M. U. Siddiqi, Power efficiency of software radio based turbo codec, 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering. TENCOM '02. Proceedings., pp.1060-1063, 2002.
DOI : 10.1109/TENCON.2002.1180306

A. Wiesler and F. K. , A software radio for second- and third-generation mobile systems, IEEE Transactions on Vehicular Technology, vol.51, issue.4, pp.738-748, 2002.
DOI : 10.1109/TVT.2002.1015347

J. Mitola and I. , Software radio architecture: a mathematical perspective, IEEE Journal on Selected Areas in Communications, vol.17, issue.4, pp.514-538, 1999.
DOI : 10.1109/49.761033

R. H. Walden, Performance trends for analog to digital converters, IEEE Communications Magazine, vol.37, issue.2, pp.96-101, 1999.
DOI : 10.1109/35.747256

H. Tsurumi and Y. Suzuki, Broadband RF stage architecture for software-defined radio in handheld terminal applications, IEEE Communications Magazine, vol.37, issue.2, pp.90-95, 1999.
DOI : 10.1109/35.747255

C. A. Devries and R. D. Mason, Subsampling Architecture for Low Power Receivers, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.55, issue.4, pp.304-308, 2008.
DOI : 10.1109/TCSII.2008.919495

T. Hentschel, M. Henker, and G. Fettweis, The digital front-end of software radio terminals, IEEE Personal Communications, vol.6, issue.4, pp.40-46, 1999.
DOI : 10.1109/98.788214

E. Newman and D. M. Climek, Multiband multimode radio (MBMMR) technology applications in the military, civil, and commercial sectors, MILCOM 97 MILCOM 97 Proceedings, pp.1192-1196, 1997.
DOI : 10.1109/MILCOM.1997.644957

P. G. Cook and W. Bonser, Architectural overview of the SPEAKeasy system, IEEE Journal on Selected Areas in Communications, vol.17, issue.4, pp.650-661, 1999.
DOI : 10.1109/49.761042

R. Vidano, SPEAKeasy II-an IPT approach to software programmable radio development, MILCOM 97 MILCOM 97 Proceedings, pp.1212-1215, 1997.
DOI : 10.1109/MILCOM.1997.644961

P. A. Eyermann and M. A. Powell, Maturing the software communications architecture for JTRS, 2001 MILCOM Proceedings Communications for Network-Centric Operations: Creating the Information Force (Cat. No.01CH37277), pp.158-162, 2001.
DOI : 10.1109/MILCOM.2001.985782

M. S. Hasan, M. Lamacchia, L. Muzzelo, R. Gunsaulis, L. R. Housewright et al., Designing the Joint Tactical Radio System (JTRS) Handheld, Manpack, and Small form Fit (HMS) Radios for Interoperable Networking and Waveform Applications, MILCOM 2007, IEEE Military Communications Conference, pp.1-6, 2007.
DOI : 10.1109/MILCOM.2007.4455121

Y. Chen, T. Yuan, L. Tourneau, and C. Matt, Joint Tactical Radio System Common Network Services, MILCOM 2007, IEEE Military Communications Conference, pp.1-8, 2007.
DOI : 10.1109/MILCOM.2007.4455088

B. Tarver, E. Christensen, and A. Miller, The Wireless Information Transfer System (WITS) architecture for the Digital Modular Radio (DMR) software defined radio (SDR), MILCOM 2000 Proceedings. 21st Century Military Communications. Architectures and Technologies for Information Superiority (Cat. No.00CH37155), pp.226-230, 2000.
DOI : 10.1109/MILCOM.2000.904944

M. Muck, D. Bourse, K. Moessner, N. Alonistioti, P. Demestichas et al., End-to-End Reconfigurability in Heterogeneous Wireless Systems - Software and Cognitive Radio Solutions enriched by Policy- and Context-based Decision Making, 2007 16th IST Mobile and Wireless Communications Summit, pp.1-5, 2007.
DOI : 10.1109/ISTMWC.2007.4299235

F. Charot, M. Nyamsi, P. Quinton, and C. Wagner, Architecture Exploration for 3G Telephony Applications Using aHardware-Software Prototyping Platform, Proc. Computer Systems: Architectures, Modeling and Simulation, 2003.

R. Rabineau, D. Lattard, Y. Durand, L. M. , and J. P. Rossi, Flexible Test-Bed for B3G Systems, Proc. IST Mobile and Wireless Communications Summit, 2006.

V. Bose, Design and Implementation of Software Radio Using a General Purpose Processor, Massachusetts Institute of Technology (MIT), 1999.

A. Hoffmann, H. Meyr, and R. Leupers, Architecture Exploration for Embedded Processors with LISA, 2002.
DOI : 10.1007/978-1-4757-4538-2

C. Chavet, P. Coussy, P. Bomel, D. Heller, E. Senn et al., GAUT : a High- Level synthesis tool for DSP applications, High level Synthesis: from Algorithm to Digital Circuit, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00489794

S. Rouxel, J. P. Diguet, N. Bulteau, J. Carre-gourdin, J. E. Goubard et al., UML Framework for PIM and PSM Verification of SDR Systems, Proc. SDR Forum Technical Conference From MDD Concepts to Experiments and Illustrations Schedulability Analysis and MDD. International Scientific and Technical Encyclopedia, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00084148

V. Blaschke, F. K. Jondral, S. Nagel, E. Nicollet, and D. Ragot, Wireless Interoperability for Security -WINTSEC, SDR Forum Technical Conference'07, 2007.

S. Haykin, Cognitive radio: brain-empowered wireless communications, IEEE Journal on Selected Areas in Communications, vol.23, issue.2, pp.201-220, 2005.
DOI : 10.1109/JSAC.2004.839380

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.8409

C. Moy, J. Palicot, V. Rodriguez, and D. Giri, Optimal Determination of Common Operators for Multi-standards SDR, Proc. 4 th Karlsruhe Workshop on Software Radios, 2006.

L. Alaus, J. Palicot, C. Roland, Y. Louët, and D. Noguet, Promising Technique of Parametrisation For Reconfigurable Radio, the Common Operators Technique: Fundamentals and Examples, 2009.

F. Jondral, A. Wiesler, and R. Machauer, A software defined radio structure for 2nd and 3rd generation mobile communications standards, 2000 IEEE Sixth International Symposium on Spread Spectrum Techniques and Applications. ISSTA 2000. Proceedings (Cat. No.00TH8536), pp.637-640, 2000.
DOI : 10.1109/ISSSTA.2000.876511

A. Wiesler, H. Schober, R. Machauer, and F. Jondral, Software radio structure for UMTS and second generation mobile communication systems, Gateway to 21st Century Communications Village. VTC 1999-Fall. IEEE VTS 50th Vehicular Technology Conference (Cat. No.99CH36324), pp.939-942, 1999.
DOI : 10.1109/VETECF.1999.798468

J. R. Cavallaro and M. Vaya, Viturbo: a reconfigurable architecture for Viterbi and turbo decoding, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)., pp.497-500, 2003.
DOI : 10.1109/ICASSP.2003.1202412

V. Rodriguez, C. Moy, and J. Palicot, An optimal architecture for a multi-standard reconfigurable radio: Cost-minimising common operators under latency constraints, 15 th European Information Society Technologies (IST) Summit, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00084085

S. T. Gul, C. Moy, and J. Palicot, Two Scenarios of Flexible Multi-Standard Architecture Designs using a Multi-Granularity Exploration, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications, pp.1-5, 2007.
DOI : 10.1109/PIMRC.2007.4394129

URL : https://hal.archives-ouvertes.fr/hal-00268138

M. Goresky and A. M. Klapper, Fibonacci and Galois representations of feedback-with-carry shift registers, IEEE Transactions on Information Theory, vol.48, issue.11, pp.2826-2836, 2002.
DOI : 10.1109/TIT.2002.804048

E. R. Ferrara, C. F. Cowan, and P. M. Grant, Frequency Domain Adaptive Filtering, 1995.

D. Mansour, J. Gray, and A. , Unconstrained frequency-domain adaptive filter, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.30, issue.5, pp.726-734, 1982.
DOI : 10.1109/TASSP.1982.1163949

T. Schirtzinger, X. Li, and W. K. Jenkins, A comparison of three algorithms for blind equalization based on the constant modulus error criterion, 1995 International Conference on Acoustics, Speech, and Signal Processing, pp.1049-1052, 1995.
DOI : 10.1109/ICASSP.1995.480414

K. Berberidis and J. Palicot, A block quasi-Newton algorithm implemented in the frequency domain, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, pp.1731-1734, 1996.
DOI : 10.1109/ICASSP.1996.544142

K. Berberidis and J. Palicot, A frequency-domain decision feedback equalizer for multipath echo cancellation, Proceedings of GLOBECOM '95, pp.98-102, 1995.
DOI : 10.1109/GLOCOM.1995.500277

K. Berberidis, A. Marava, P. Karaivazoglou, and J. Palicot, Robust and fast converging decision feedback equalizer based on a new adaptive semi-blind channel estimation algorithm, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270), pp.269-273, 2001.
DOI : 10.1109/GLOCOM.2001.965121

T. Hentschel, G. Fettweis, and M. Bronzel, Channelization and Sample Rate Adaptation in Software Radio Terminals, 3 rd ACTS Mobile Communications Summit, pp.121-126, 1998.

E. Bidet, J. M. Cardin, M. D. Kouam, C. Joanblanq, and J. Palicot, FDF, a 512-TAP FIR filter using a mixed temporal-frequential approach, Proceedings of the IEEE 1995 Custom Integrated Circuits Conference, pp.173-176, 1995.
DOI : 10.1109/CICC.1995.518161

E. Bidet, D. Castelain, C. Joanblanq, and P. Senn, A fast single-chip implementation of 8192 complex point FFT, IEEE Journal of Solid-State Circuits, vol.30, issue.3, pp.300-305, 1995.
DOI : 10.1109/4.364445

G. Meigu, Graphic programming using odd or even points, Acta Math. Sinica (Chinese Math, vol.10, issue.1, pp.263-266, 1962.

P. Hall, On representatives of subsets, J. London Math. Soc, vol.10, pp.26-30, 1935.

P. R. Halmos and H. E. Vaughan, The Marriage Problem, American Journal of Mathematics, vol.72, issue.1, pp.214-215, 1950.
DOI : 10.2307/2372148

N. Deo, Graph Theory with Applications to Engineering and Computer Science, 1974.

R. Tanner, A recursive approach to low complexity codes, IEEE Transactions on Information Theory, vol.27, issue.5, pp.533-547, 1981.
DOI : 10.1109/TIT.1981.1056404

F. Kienle and N. Wehn, Joint graph-decoder design of IRA codes on scalable architectures [LDPC codes], 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.673-676, 2004.
DOI : 10.1109/ICASSP.2004.1326916

O. Boruvka, O jistém problému minimalnim, Acta Soc. Sci. Natur. Moravicae, vol.3, pp.37-58, 1926.

R. E. Gomory and T. C. Hu, Multi-Terminal Network Flows, Journal of the Society for Industrial and Applied Mathematics, vol.9, issue.4, pp.551-556, 1961.
DOI : 10.1137/0109047

T. C. Hu, Parallel Sequencing and Assembly Line Problems, Operations Research, vol.9, issue.6, pp.841-848, 1961.
DOI : 10.1287/opre.9.6.841

M. Garey and D. Johnson, Computers and Intractablity: A Guide to the Theory of NP-Completeness, 1979.

A. R. Rhiemeier and F. K. , A software partitioning algorithm for modular software defined radio, Proc. 6 th International Symposium on Wireless Personal Multimedia Communications (WPMC'03), pp.42-46, 2003.

A. R. Rhiemeier and F. K. , Mathematical modeling of the software radio design problem, IEICE Transactions on Communications: Special Issue on Software Defined Radio Technology and Its Applications, pp.3456-3467, 2003.

T. Magnanti and R. Wong, Network Design and Transportation Planning: Models and Algorithms, Transportation Science, vol.18, issue.1, pp.1-56, 1984.
DOI : 10.1287/trsc.18.1.1

A. Meyerson, K. Munagala, and S. Plotkin, Cost-distance: Two metric network design, Foundations of Computer Science. 41st Annual Symposium, pp.624-630, 2000.
DOI : 10.1137/050629665

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.125.6123

C. Chekuri, S. Khanna, and J. Naor, A deterministic algorithm for the cost-distance problem, 12 th Annual ACM-SIAM symposium on discrete algorithms, pp.232-233, 2001.

M. V. Marathe, R. Ravi, R. Sundaram, S. S. Ravi, R. D. et al., Bicriteria Network Design Problems, Journal of Algorithms, vol.28, issue.1, pp.142-171, 1998.
DOI : 10.1006/jagm.1998.0930

URL : http://arxiv.org/abs/cs/9809103

K. Masselos, S. Blionas, and T. Rautio, Reconfigurability requirements of wireless communication systems, IEEE Workshop on Heterogeneous Reconfigurable Systems on Chip, 2002.

K. Masselos, A. Pelkonen, M. Cupak, and S. Blionas, Realization of wireless multimedia communication systems on reconfigurable platforms, Journal of Systems Architecture, vol.49, issue.4-6, pp.155-175, 2003.
DOI : 10.1016/S1383-7621(03)00069-9

U. Nokia and L. , Hardware/Software Partitioning, " tech. rep., IST and MU- MOR, 2003.

C. A. Coello, An updated survey of GA-based multiobjective optimization techniques, ACM Computing Surveys, vol.32, issue.2, pp.109-143, 2000.
DOI : 10.1145/358923.358929

V. Pareto, Cours D'Economie Politique. F. Rouge, Lausanne, Volume I and II, p.1896

G. Syswerda and J. Palmucci, The Applications of Genetic Algorithms to Resource Scheduling, Proc. 4 th International Conference on Genetic Algorithms, pp.502-508, 1991.

P. B. Wilson and M. D. Macleod, Low implementation cost IIR digital filter design using genetic algorithms, IEE/IEEE Workshop on Natural Algorithms in Signal Processing, pp.4-5, 1993.

W. Jakob, M. Gorges-schleuter, and C. Blume, Applications of Genetic Algorithms to Task Planning and Learning, Parallel Problem Solving from Nature, 2 nd Workshop, pp.291-300, 1992.

G. Jones, R. D. Brown, D. E. Clark, P. Willett, and R. C. Glen, Searching Databases of Two-Dimensional and Three-Dimensional Chemical Structures using Genetic Algorithms, Proc. 5 th International Conference on Genetic Algorithms, pp.597-602, 1993.

X. Liu, D. W. Begg, R. J. Fishwick, M. Gen, and R. Cheng, Genetic approach to optimal topology/controller design of adaptive structures, International Journal for Numerical Methods in Engineering, vol.28, issue.5, pp.815-830, 1997.
DOI : 10.1002/(SICI)1097-0207(19980315)41:5<815::AID-NME310>3.0.CO;2-O

G. Brassard and P. Bratley, Algorithmics: Theory and Practice, 1988.

P. Husbands, Genetic Algorithms in Optimization and Adaptation, 1992.

S. Russell and P. Norvig, Artificial Intelligence: A Modern Approach, 1995.

M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, 1979.

H. Anton, Calculus with Analytic Geometryl, 1984.

D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, 1989.

G. B. Lamont, Compendium of Parallel Programs for the Intel iPSC Computers. Air Force Institute of Technology, 1993.

S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 1983.
DOI : 10.1126/science.220.4598.671

A. Osyczka, Multicriterion Optimization in Engineering with FORTRAN Programs, 1984.

Z. Michalewicz, Genetic Algorithms + Data Structures = Evolution Programs, 1996.
DOI : 10.1007/978-3-662-02830-8

T. Bäck, Evolutionay Algorithms in Theory and Practice, 1996.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics, vol.21, issue.6, pp.1087-1092, 1953.
DOI : 10.1063/1.1699114

A. Vicini and D. Quagliarella, Multipoint transonic airfoil design by means of a multiobjective genetic algorithm, 35th Aerospace Sciences Meeting and Exhibit, 1997.
DOI : 10.2514/6.1997-82

H. P. Schwefel, Evolution and Optimum Seeking, 1995.

M. Pincus, Letter to the Editor???A Monte Carlo Method for the Approximate Solution of Certain Types of Constrained Optimization Problems, Operations Research, vol.18, issue.6, pp.1225-1228, 1970.
DOI : 10.1287/opre.18.6.1225

J. H. Holland, Adaptation in Natural and Artificial Systems, 1975.

B. L. Miller and D. E. Goldberg, Genetic Algorithms, Tournament Selection, and the Effects of Noise, 1995.

S. Reddy and J. Robinson, Random error and burst correction by iterated codes, IEEE Transactions on Information Theory, vol.18, issue.1, pp.182-185, 1972.
DOI : 10.1109/TIT.1972.1054747

S. B. Wicker and V. K. Bhargava, Reed-Solomon codes and their applications, 1994.
DOI : 10.1109/9780470546345

C. Basile, A. P. Cavallerano, M. S. Deiss, R. Keeler, J. S. Lim et al., The US HDTV standard, The US HDTV standard the grand, pp.36-45, 1995.
DOI : 10.1109/6.375998

J. M. Pollard, The fast Fourier transform in a finite field, Mathematics of Computation, vol.25, issue.114, pp.365-374, 1971.
DOI : 10.1090/S0025-5718-1971-0301966-0

R. C. Agarwal and C. S. Burrus, Fast digital convolution using Fermat transforms, Southwest IEEE Conference Rec, pp.538-543, 1973.

C. Rader, The number theoretic DFT and exact discrete convolution, IEEE Arden House Workshop on Digital Signal Processing, 1972.

J. Justesen, On the complexity of decoding Reed-Solomon codes (Corresp.), IEEE Transactions on Information Theory, vol.22, issue.2, pp.237-238, 1976.
DOI : 10.1109/TIT.1976.1055516

C. Y. Fung and S. C. Chan, A multistage filterbank-based channelizer and its multiplier-less realization, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), pp.429-432, 2002.
DOI : 10.1109/ISCAS.2002.1010252

W. A. Abu-al-saud and G. L. Stuber, Efficient Wideband Channelizer for Software Radio Systems Using Modulated PR Filterbanks, IEEE Transactions on Signal Processing, vol.52, issue.10, pp.2807-2820, 2004.
DOI : 10.1109/TSP.2004.834242

A. Russo, TPFT-Tunable Pipelined Frequency Transform, RF Engines Limited White Paper, 2002.

A. P. Vinod, E. M. Lai, A. B. Premkumar, and C. T. Lau, A reconfigurable multi-standard channelizer using QMF trees for software radio receivers Frequency Response Masking based Reconfigurable Channel Filters for Software Radio Receivers, Proc. 14 th IEEE on Personal, Indoor and Mobile Radio Communications PIMRC 2003 Proc. IEEE International Symposium on Circuits and Systems ISCAS 2007, pp.119-123, 2003.

Y. C. Lim and Y. Lian, Frequency-response masking approach for digital filter design: complexity reduction via masking filter factorization, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, pp.518-525, 1994.
DOI : 10.1109/82.318940

S. T. Gul, C. Moy, and J. Palicot, Graphical modeling and optimization of air interface standards for Software Defined Radios, 2008 IEEE International Multitopic Conference, pp.473-479, 2008.
DOI : 10.1109/INMIC.2008.4777785

URL : https://hal.archives-ouvertes.fr/hal-00359991

M. Bellanger, On computational complexity in digital filters, Proc. European Conference on Circuit Theory and Design, pp.58-63, 1981.

M. Van-der-schaar, S. Krishnamachari, S. Choi, and X. Xu, Adaptive cross-layer protection strategies for robust scalable video transmission over 802.11 wlans, IEEE Journal on Selected Areas in Communications, vol.21, issue.10, pp.1752-1763, 2003.
DOI : 10.1109/JSAC.2003.815231

Y. S. Chan, Y. Pei, Q. Qu, and J. W. Modestino, On cross-layer adaptivity and optimization for multimedia CDMA mobile wireless networks, 1 st International Symposium on Control, Communications and Signal Processing, pp.579-582, 2004.

Q. Wang and M. A. Abu-rgheff, Cross-layer signalling for next-generation wireless systems, 2003 IEEE Wireless Communications and Networking, 2003. WCNC 2003., pp.1084-1089, 2003.
DOI : 10.1109/WCNC.2003.1200522

W. H. Tuttlebee, Software radio technology: a European perspective, IEEE Communications Magazine, vol.37, issue.2, pp.118-123, 1999.
DOI : 10.1109/35.747260

D. Ikonomou, J. M. Pereira, and J. Da-silva, EU funded R-D on Re-configurable Radio Systems and Networks: The story so Far, Infowin Thematic Issue Mobile Communications, ACTS, 2000.

W. C. Gore, Transmitting Binary Symbols with Reed-Solomon Codes, Proc. Princeton Conference on Information Sciences and Systems, pp.495-497, 1973.

A. Michelson, A Fast Transform in Some Galois Field and an application to Decoding Reed-Solomon Codes, IEEE International Symposium on Information Theory, 1976.

A. Lempel and S. Winograd, A new approach to error-correcting codes, IEEE Transactions on Information Theory, vol.23, issue.4, pp.503-508, 1977.
DOI : 10.1109/TIT.1977.1055735

R. Chien and D. Choy, Algebraic generalization of BCH-Goppa-Helgert codes, IEEE Transactions on Information Theory, vol.21, issue.1, pp.70-79, 1975.
DOI : 10.1109/TIT.1975.1055336

R. E. Blahut, Transform Decoding without Transform, 10 th IEEE Communication Theory Workshop, 1980.

R. E. Blahut, Algebraic Codes for Data Transmission, 2003.
DOI : 10.1017/CBO9780511800467

W. Peterson, Encoding and error-correction procedures for the Bose-Chaudhuri codes, IEEE Transactions on Information Theory, vol.6, issue.4, pp.459-470, 1960.
DOI : 10.1109/TIT.1960.1057586

D. C. Gorenstein and N. Zierler, A Class of Error-Correcting Codes in $p^m $ Symbols, Journal of the Society for Industrial and Applied Mathematics, vol.9, issue.2, pp.207-214, 1961.
DOI : 10.1137/0109020

R. E. Berlekamp, Algebraic coding theory, 1986.
DOI : 10.1142/9407

J. L. Massey, Shift-register synthesis and BCH decoding, IT-15, pp.122-127, 1972.
DOI : 10.1109/TIT.1969.1054260

R. T. Chien, Cyclic decoding procedures for Bose- Chaudhuri-Hocquenghem codes, IEEE Transactions on Information Theory, vol.10, issue.4, pp.357-363, 1964.
DOI : 10.1109/TIT.1964.1053699

G. D. Forney, On decoding BCH codes, IEEE Transactions on Information Theory, vol.11, issue.4, pp.549-557, 1965.
DOI : 10.1109/TIT.1965.1053825

R. E. Blahut, A Universal Reed-Solomon Decoder, IBM Journal of Research and Development, vol.28, issue.2, pp.150-158, 1984.
DOI : 10.1147/rd.282.0150

P. Kitsos, T. G. , and O. Koufopavlou, An efficient Reconfigurable Multiplier Architecture for Galois Field Publications International Journal Papers 1 A Novel Design of Reconfigurable Fourier Transform Operator Over C and GF (F t ) for Future Multi-standards SDR Equipments, Microelectronics Journal International Journal of Communication Networks and Distributed Systems-IJCNDS, 2003.

S. T. Gul, L. Alaus, C. Moy, J. Palicot, and D. Noguet, Optimal set of LFSR Common Operators for Multi-Standards Cognitive Radio Terminals, International Journal of Autonomous and Adaptive Communications-IJAACS, Special Issue on Cognitive Radio Systems, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00421254

S. T. Gul, R. Mahesh, C. Moy, J. Palicot, and A. P. Vinod, Filter Bank Techniques for SDR Channelizers and their Optimization using Graph Theoretical Approach, EURASIP Journal on Advances in Signal Processing, Special Issue on Filter Banks for Next Generation Multicarrier Wireless Communications, 2009.

S. T. Gul, C. Moy, and J. Palicot, Graphical modeling and optimization of air interface standards for Software Defined Radios, 2008 IEEE International Multitopic Conference, pp.473-479, 2008.
DOI : 10.1109/INMIC.2008.4777785

URL : https://hal.archives-ouvertes.fr/hal-00359991

S. T. Gul, R. Mahesh, C. Moy, A. P. Vinod, and J. Palicot, A Graphical Approach for the Optimization of SDR Channelizers, International Union of Radio Science, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00352917

S. T. Gul, C. Moy, and J. Palicot, Two Scenarios of Flexible Multi-Standard Architecture Designs using a Multi-Granularity Exploration, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications, pp.1-5, 2007.
DOI : 10.1109/PIMRC.2007.4394129

URL : https://hal.archives-ouvertes.fr/hal-00268138

1. S. Gul, L. Alaus, D. Noguet, C. Moy, and J. Palicot, The Common Operator Technique: An Optimization Process to Identify and Design a Set of Common Operators 301

S. Perform and . Equipment, Dynamic Spectrum Management in Cognitive Radio Networks, ICT-MobileSummit, 2009.