71 5.1.1 L'espace solution, La théorie ensembliste Sommaire 5.1 Notions et principes, p.73 ,
Methods used in the structure determination of bovine mitochondrial F 1 ATPase, Acta Crystal lographica Section D, vol.1, issue.2, pp.3-3 ,
Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization, Journal of the Optical Society of America A, vol.19, issue.7, pp.1334-1345, 2002. ,
DOI : 10.1364/JOSAA.19.001334
Hybrid projection???reflection method for phase retrieval, Journal of the Optical Society of America A, vol.20, issue.6 ,
DOI : 10.1364/JOSAA.20.001025
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.8446
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces, Journal of Approximation Theory, vol.127, issue.2, pp.178-192, 2004. ,
DOI : 10.1016/j.jat.2004.02.006
URL : https://hal.archives-ouvertes.fr/hal-00017939
Reflection-Projection Method for Convex Feasibility Problems with an Obtuse Cone, Journal of Optimization Theory and Applications, vol.14, issue.3, pp.503-531, 2004. ,
DOI : 10.1023/B:JOTA.0000025708.31430.22
Fixed-Point Algorithms for Inverse Problems in Science and Engineering.S p r i n g e r -V e r l a g ,
Convex Analysis and Monotone Operator Theory in Hilbert Spaces.S p r i n g e r -V e r l a g ,
The Douglas-Rachford Algorithm in the Absence of Convexity Tiré de : Fixed-Point Algorithms for Inverse Problems in Science and Engineering ,
The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming, USSR Computational Mathematics and Mathematical Physics, vol.7, issue.3, pp.200-217, 1967. ,
DOI : 10.1016/0041-5553(67)90040-7
Cognitive radio modulation techniques, IEEE Signal Processing Magazine, vol.5, issue.6, pp.24-34, 2008. ,
Cognitive Radio with Single Carrier TDCS and Multicarrier OFDM Approach with V- BLAST Receiver in Rayleigh Fading Channel, Mobile Networks and Applications, pp.4-5 ,
DOI : 10.1109/crowncom.2007.4549787
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.604.8919
On the utilization of embedded symbol for CCSK BER improvement in TDCS dynamic spectrum access, Présenté à : Eleventh European Conference on Wireless Technology ,
Implementation issues in spectrum sensing for cognitive radios, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004., pp.7-7, 2004. ,
DOI : 10.1109/ACSSC.2004.1399240
Spectrum sharing radios, IEEE Circuits and Systems Magazine, vol.6, issue.2, pp.30-45, 2006. ,
DOI : 10.1109/MCAS.2006.1648988
Convolution-based framework for signal recovery and applications, Journal of the Optical Society of America A, vol.5, issue.8, pp.1193-1200, 1988. ,
DOI : 10.1364/JOSAA.5.001193
Cognitive radio -an adaptive waveform with spectral sharing capability, Présenté à : IEEE Wireless Communications and Networking Conference, pp.724-729, 2005. ,
Novel overlay/underlay cognitive radio waveforms using SD-SMSE framework to enhance spectrum efficiency- part i: theoretical framework and analysis in AWGN channel, IEEE Transactions on Communications, vol.57, issue.12, 2009. ,
DOI : 10.1109/TCOMM.2009.12.080400
Novel overlay/underlay cognitive radio waveforms using SD-SMSE framework to enhance spectrum efficiency-part II: analysis in fading channels, IEEE Transactions on Communications, vol.58, issue.6, pp.1868-1876, 2010. ,
DOI : 10.1109/TCOMM.2010.06.090176
Multiple-antenna Transmitted-Reference communication systems performance in presence of narrowband interference, 2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), pp.1-5 ,
DOI : 10.1109/SPAWC.2010.5671000
Fejér Monotonicity in Convex Optimization Tiré de : C. A. Floudas et P. M. Pardalos, Encyclopedia of Optimization, pp.106-114, 2001. ,
Quasi-Fejérian analysis of some optimization algorithms Inherently Parallel Algorithms in Feasibility and Optimization and their Applications, pp.1-1, 2001. ,
Solving monotone inclusions via compositions of nonexpansive averaged operators. Optimization, pp.4-7, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00017830
The foundations of set theoretic estimation, Proceedings of the IEEE ,
Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projections, IEEE Transactions on Image Processing, vol.6, issue.4 ,
DOI : 10.1109/83.563316
Accelerating the convergence of POCS algorithms by exponential prediction Présenté à : [Crom 06] G. Crombez. As e q u e n t i a li t e r a t i o na l g o r i t h mw i t hn o n monotoneous behaviour in the method of projections onto convex sets, Czechoslovak Mathematical Journal, vol.6 ,
AL o w -P A P RM u l t i p l e x e dM C -C D M A System with Enhanced Data Rate over Multipath Channels, Présenté à : IEEE Vehicular Technology Conference, pp.1-5, 2010. ,
Cyclic code shift keying : a low probability of intercept communication technique, IEEE Transactions on Aerospace Electronic Systems, vol.39, pp.786-798, 2003. ,
On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables. Transactions of American Society ,
On the Douglas???Rachford splitting method and the proximal point algorithm for maximal monotone operators, Mathematical Programming ,
DOI : 10.1007/BF01581204
Multi-access properties of transform domain spread spectrum systems, Proceedings of TCC'94, Tactical Communications Conference, pp.505-505, 1994. ,
DOI : 10.1109/TCC.1994.472093
Multi-carrier and spread spectrum systems : from OFDM and MC-CDMA to LTE and WiMAX ,
Phase retrieval algorithms: a comparison, Applied Optics, vol.21, issue.15 ,
DOI : 10.1364/AO.21.002758
Le lièvre et la tortue Tiré de : Fables choisies, mises en vers, 1668. ,
Multidimensional constellations. ? Part I : Introduction, figures of merit, and generalized cross constellations . Selected Areas in Communications, IEEE Journal, vol.7, issue.6, pp.877-892, 1989. ,
Using the Douglas-Rachford Algorithm to Optimally Reduce the PAPR, Présenté à : International Conference on Multimedia and Signal Processing, pp.29-33, 2011. ,
Enhancing Spectral Efficiency of Transform Domain Communication Systems by using a Multidimensional Modulation. Présenté à : Cognitive Radio Oriented Wireless Networks and Communications ,
Reflection Onto Convex Sets Algorithm to Address the PAPR Problem, Présenté à : Twelfth IEEE Workshop on Signal Processing Advances in Wireless Communications ,
Theoretical Performance of Transform Domain Communication Systems, Présenté à : IARIA, Seventh Advanced International Conference on Telecommunications, pp.48-53, 2011. ,
Transform domain communication systems from a multidimensional perspective, impacts on bit error rate and spectrum efficiency, Communications, IET, vol.5, issue.4, pp.476-483, 2011. ,
Using Set Theoretic Estimation to Address the PAPR Problem of Spectrum-Constrained Signals, IEEE Transactions on Wireless Communications .e nc o u r sd es e c o n d er é v i s i o n ,
Controlling clipping probability in DMT transmission Présenté à : Thirty-First Asilomar Conference on Signals, Systems Computers ,
On minimizing the peak-to-average power ratio for the sum of N sinusoids, IEEE Transactions on Communications, vol.41, issue.4 ,
DOI : 10.1109/26.223788
The method of projections for finding the common point of convex sets, USSR Computational Mathematics and Mathematical Physics, vol.7, issue.6, pp.1-2, 1967. ,
DOI : 10.1016/0041-5553(67)90113-9
Aeronautical channel modeling, IEEE Transactions on Vehicular Technology, vol.51, issue.2, pp.254-264, 2002. ,
DOI : 10.1109/25.994803
Comparison of Hardware Implementation of Transform Domain Communications to Theoretical Results, MILCOM 2007, IEEE Military Communications Conference, pp.1-7 ,
DOI : 10.1109/MILCOM.2007.4455213
Detection and Performance of the OFDM-Based Transform Domain Communication System, 2006 International Conference on Communications, Circuits and Systems ,
DOI : 10.1109/ICCCAS.2006.284888
Soft-demodulation of Transform Domain Communication System Signals, 2007 2nd International Conference on Cognitive Radio Oriented Wireless Networks and Communications, pp.3-8, 2007. ,
DOI : 10.1109/CROWNCOM.2007.4549828
Addressing the control channel design problem: OFDM-based transform domain communication system in cognitive radio, Computer Networks, vol.52, issue.4, pp.7-9, 2008. ,
DOI : 10.1016/j.comnet.2007.11.001
Overview of multicarrier CDMA, IEEE Communications Magazine, vol.35, issue.12 ,
DOI : 10.1109/35.642841
Aeronautical Channel Characterisation Measurements at K Band Présenté à : 4th Ka-Band Utilization Conference ,
Derivation of PAPR Distribution for OFDM Wireless Systems Based on Extreme Value Theory, IEEE Transactions on Wireless Communications, vol.7, issue.4, pp.1298-1305, 2008. ,
An Overview : Peak-to-Average Power Ratio Reduction Techniques for OFDM Signals, IEEE Transactions on Broadcasting, vol.4, issue.2 ,
Sur Les Polynomes a Coefficients Unimodulaires, Bulletin of the London Mathematical Society, vol.12, issue.5, pp.3-5, 1980. ,
DOI : 10.1112/blms/12.5.321
URL : http://blms.oxfordjournals.org/cgi/content/short/12/5/321
Wavelet domain communication system (WDCS) interference avoidance capability : analytic, modeling and simulation results, Présenté à : IEEE Military Communications Conference, pp.1034-1038, 2001. ,
Interference avoidance communications using wavelet domain transformation techniques Electronics Letters,v o l .3 7 ,n o .1 5 Wavelet domain communication system : bit error sensitivity characterization for geographically separated transceivers (U), Présenté à:IEEE Military Communications Conference, pp.1-3, 2002. ,
DOI : 10.1049/el:20010661
Image restoration by the method of generalized projections with application to restoration from magnitude, Journal of the Optical Society of America A, vol.19, pp.9-12, 1984. ,
Splitting Algorithms for the Sum of Two Nonlinear Operators, SIAM Journal on Numerical Analysis, vol.16, issue.6, pp.964-979, 1979. ,
DOI : 10.1137/0716071
Peak power control in multicarrier communications. Peak-power Control in Multicarrier Communications, 2007. ,
Performance Analysis of Transform Domain Communication Systems in the Presence of Spectral Mismatches, MILCOM 2007, IEEE Military Communications Conference, pp.1-5, 2007. ,
DOI : 10.1109/MILCOM.2007.4454787
Benchmarking Iterative Projection Algorithms for Phase Retrieval ArXiv Physics e-prints,a r X i v: p h y s i c s, 2004. ,
Invited Article : A unified evaluation of iterative projection algorithms for phase retrieval, Review of Scientific Instruments, vol.81, pp.1-1 ,
Phase retrieval and saddle-point optimization, Journal of the Optical Society of America A, vol.4, issue.2, pp.8-9, 2007. ,
Reduction of peak-to-average power ratio in transform domain communication systems, IEEE Transactions on Wireless Communications, vol.8, issue.9 ,
DOI : 10.1109/TWC.2009.080057
Deep-space communications and coding : A marriage made in heaven Tiré de : J. Hagenauer, Advanced Methods for Satel lite and Deep Space Communications, pp.1-1 ,
An Analysis of a Real-Time Transform Domain Filtering Digital Communication System--Part I: Narrow-Band Interference Rejection, IEEE Transactions on Communications, vol.28, issue.6, pp.816-824, 1980. ,
DOI : 10.1109/TCOM.1980.1094725
An Analysis of a Real-Time Transform Domain Filtering Digital Communication System--Part II: Wide-Band Interference Rejection, IEEE Transactions on Communications, vol.31, issue.1, pp.21-27, 1983. ,
DOI : 10.1109/TCOM.1983.1095733
Functional Operators : The Geometry of Orthogonal Spaces. Functional Operators, 1950. ,
Interference avoidance in spectrally encoded multiple access communications using MPSK modulation, IEEE Wireless Communications and Networking Conference, 2005, pp.730-734, 2005. ,
DOI : 10.1109/WCNC.2005.1424598
On the distribution of the peak-to-average power ratio in OFDM signals, IEEE Transactions on Communications, vol.49, issue.2, pp.282-289, 2001. ,
DOI : 10.1109/26.905885
structure solution by charge flipping, Acta Crystallographica Section A Foundations of Crystallography, vol.60, issue.2, pp.134-141, 2004. ,
DOI : 10.1107/S0108767303027569
Power Ratio definitions and analysis in single carrier modulation, Présenté à : EUSIPCO 05, pp.2-6, 2005. ,
Generalized projection algorithm for blind interference suppression in DS/CDMA communications, IEEE Transactions on Circuits and Systems II : Analog and Digital Signal Processing, pp.453-460, 1997. ,
DOI : 10.1109/82.592574
Discontiguous OFDM considerations for dynamic spectrum access in idle TV channels, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005. ,
DOI : 10.1109/DYSPAN.2005.1542679
Design and Simulation of a Transform Domain Communication System Mémoire de mastère, no. AFIT, 1996. ,
Initial acquisition performance of a transform domain communication system: modeling and simulation results, MILCOM 2000 Proceedings. 21st Century Military Communications. Architectures and Technologies for Information Superiority (Cat. No.00CH37155) ,
DOI : 10.1109/MILCOM.2000.904101
Communication Waveform Design Using an Adaptive Spectrally Modulated, Spectrally Encoded (SMSE) Framework, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.1 ,
DOI : 10.1109/JSTSP.2007.897061
POCSENSE: POCS-based reconstruction for sensitivity encoded magnetic resonance imaging, Magnetic Resonance in Medicine, vol.47, issue.6, pp.1397-1406, 2004. ,
DOI : 10.1002/mrm.20285
Image Restoration by the Method of Convex Projections : Part 2-Applications and Numerical Results, IEEE Transactions on Medical Imaging, vol.1, issue.2, 1982. ,
Performance simulation of a transform domain communication system for multiple access applications, MILCOM 1999. IEEE Military Communications. Conference Proceedings (Cat. No.99CH36341) ,
DOI : 10.1109/MILCOM.1999.821364
The feasible solution in signal restoration, IEEE Transactions on Acoustics, Speech and Signal Processing, vol.32, issue.2, pp.201-212, 1984. ,
Transform Domain Communication System Based on Random-Ambiguity and Fractional Fourier Transform, 2006 6th International Conference on ITS Telecommunications ,
DOI : 10.1109/ITST.2006.288832
Spectrum pooling: an innovative strategy for the enhancement of spectrum efficiency, IEEE Communications Magazine, vol.42, issue.3, pp.8-14, 2004. ,
DOI : 10.1109/MCOM.2004.1273768
High-throughput, highperformance OFDM via pseudo-orthogonal carrier interferometry spreading codes, IEEE Transactions on Communications, vol.17, pp.1123-1134, 2003. ,
A Software Defined Radio Based Adaptive Interference Avoidance TDCS Cognitive Radio, 2010 IEEE International Conference on Communications, pp.1-5, 2010. ,
DOI : 10.1109/ICC.2010.5502779
Transform domain communication systems from a multidimensional perspective, impacts on bit error rate and spectrum efficiency , IET Communications,V o l .5 ,I s s u e4, pp.4-7 ,
Using Set Theoretic Estimation to Address the PAPR Problem of Spectrum-Constrained Signals, IEEE Transactions on Wireless Communications,e nc o u r sd es e c o n d er é v i s i o n ,
Multiple-antenna Transmitted-Reference communication systems performance in presence of narrowband interference, 2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), pp.1-5 ,
DOI : 10.1109/SPAWC.2010.5671000
Enhancing Spectral Efficiency of Transform Domain Communication Systems by using a Multidimensional Modulation, Cognitive Radio Oriented Wireless Networks and Communications, 2011. ,