M. A. Hussein, V. A. Bohara, and O. Venard, On the system level convergence of ILA and DLA for digital predistortion, 2012 International Symposium on Wireless Communication Systems (ISWCS), pp.870-874, 2012.
DOI : 10.1109/ISWCS.2012.6328492

]. S. Afs12, T. Afsardoost, C. Eriksson, and . Fager, Digital predistortion using a vectorswitched model, IEEE Transactions on Microwave Theory and Techniques, vol.60, issue.4, pp.1166-1174, 2012.

]. R. Ama11, S. Amara, and . Marcos, A blind network of extended Kalman filters for nonstationary channel equalization, IEEE International Conference on Acoustics, Speech and Signal Processing, pp.2117-2120, 2011.

I. Arasaratnam and S. Haykin, Cubature Kalman Filters, IEEE Transactions on Automatic Control, vol.54, issue.6, pp.1254-1269, 2009.
DOI : 10.1109/TAC.2009.2019800

Y. Bar-shalom, X. Li, and T. Kirubarajan, Estimation with applications to tracking and navigation, 2001.
DOI : 10.1002/0471221279

R. Baxley and G. Zhou, Comparison of Selected Mapping and Partial Transmit Sequence for Crest Factor Reduction in OFDM, MILCOM 2006, pp.1-4, 2006.
DOI : 10.1109/MILCOM.2006.302065

M. B. Mabrouk, G. Ferré, E. Grivel, and N. Deltimple, A novel digital postdistortion and detection technique for RF power amplifiers in cognitive radio systems, IEEE International Symposium Wireless Symposium (IWS), pp.1-4, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01192675

]. S. Ben83, E. Benedetto, and . Biglieri, Nonlinear equalization of digital satellite channels, IEEE Journal on Selected Areas in Communications, vol.1, issue.1, pp.57-62, 1983.

]. E. Big88, S. Biglieri, M. Barberis, and . Catena, Analysis and compensation of nonlinearities in digital transmission systems, IEEE Journal on Selected Areas in Communications, vol.6, issue.1, pp.42-51, 1988.

S. Boyd and L. O. Chua, Fading memory and the problem of approximating nonlinear operators with Volterra series, IEEE Transactions on Circuits and Systems, vol.32, issue.11, pp.1150-1161, 1985.
DOI : 10.1109/TCS.1985.1085649

]. V. Cam15, M. Camarchia, R. Pirola, S. Quaglia, Y. Jee et al., The Doherty power amplifier: review of recent solutions and trends, IEEE Transactions on Microwave Theory and Techniques, vol.63, issue.2, pp.559-571, 2015.

]. S. Cha01, E. J. Chang, and . Powers, A simplified predistorter for compensation of nonlinear distortion in OFDM systems, IEEE Global Communications Conference (GLOBECOM), pp.3080-3084, 2001.

]. S. Cha99, Y. Challa, V. Bar-shalom, and . Krishnamurthy, Nonlinear filtering using Gauss- Hermite quadrature and generalised edgeworth series, American Control ConferenceACC), vol.5, issue.6, pp.3397-3401, 1999.

]. C. Che14a, K. F. Cheang, W. H. Un, P. I. Yu, R. P. Mak et al., A combinatorial impairment-compensation digital predistorter for a sub-GHz IEEE 802.11af- WLAN CMOS transmitter covering a 10x-wide RF bandwidth, IEEE Transactions on Circuits and Systems-I, vol.62, issue.4, pp.1025-1032, 2014.

]. S. Che14b and . Chen, An efficient predistorter design for compensating nonlinear memory high power amplifiers, IEEE Transactions on Broadcasting, vol.57, issue.4, pp.856-865, 2014.

]. C. Cla98, G. Clark, M. S. Chrisikos, A. A. Muha, and . Moulthrop, Time-domain envelope measurement technique with application to wideband power amplifier modeling, IEEE Transactions on Microwave Theory and Techniques, vol.46, pp.2531-2540, 1998.

S. C. Cripps, Advanced techniques in RF power amplifier design, 2002.

]. S. Cri06 and . Cripps, RF power amplifiers for wireless communications, 2006.

]. S. Cri09, P. J. Cripps, A. L. Tasker, J. Clarke, J. Lees et al., On the continuity of high efficiency modes in linear RF power amplifiers, IEEE Microwave and Wireless Components Letters, vol.19, pp.665-667, 2009.

]. F. Fau09, A. Faurie, E. Giremus, and . Grivel, Fault detection combining interacting multiple model and multiple solution separation for aviation satellite navigation system, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.3273-3276, 2009.

]. B. Feh14a, S. Fehri, and . Boumaiza, Baseband equivalent Volterra series for behavioral modeling and digital predistortion of power amplifiers driven with wideband carrier aggregated signals, IEEE Transactions on Microwave Theory and Techniques, vol.62, issue.11, pp.2594-2603, 2014.

]. B. Feh14b, S. Fehri, and . Boumaiza, Joint dual-band crest factor reduction and digital predistortion of power amplifiers driven by inter-band carrier aggregated signals, Microwave Symposium (IMS), 2014 IEEE MTT-S International, pp.1-4, 2014.

]. A. Gha08, E. S. Ghasemi, and . Sousa, Spectrum sensing in cognitive radio networks: requirements , challenges and design trade-offs, IEEE Communications Magazine, vol.46, issue.4, pp.32-39, 2008.

]. F. Gha09, O. Ghannouchi, and . Hammi, Behavioral modeling and predistortion, IEEE Microwave Magazine, vol.10, issue.7, pp.52-64, 2009.

F. Ghannouchi, F. Taringou, and O. Hammi, A dual branch Hammerstein-Wiener architecture for behavior modeling of wideband RF transmitters, 2010 IEEE MTT-S International Microwave Symposium, pp.1692-1695, 2010.
DOI : 10.1109/MWSYM.2010.5515921

]. A. Gir10, E. Giremus, J. Grivel, M. Grolleau, and . Najim, A Rao Blackwellized particle filter for joint channel/symbol estimation in MC-DS-CDMA, IEEE Transactions on Communications, vol.58, issue.8, pp.2292-2304, 2010.

]. A. Gol09, S. A. Goldsmith, I. Jafar, S. Maric, and . Srinivasa, Breaking spectrum gridlock with cognitive radios: an information theoretic perspective, Proceedings of the IEEE, vol.97, issue.5, pp.894-914, 2009.

]. L. Gua12, A. Guan, and . Zhu, Optimized low-complexity implementation of least squares based model extraction for digital predistortion of RF power amplifiers, IEEE Transactions on Microwave Theory and Techniques, vol.60, issue.3, pp.594-603, 2012.

]. T. Hon13, A. Hone, J. Aref, R. Guan, and . Negra, Achieving linearity for outphasing amplifiers targeting LTE applications and beyond, Asia-Pacific Microwave Conference Proceedings (APMC), pp.444-446, 2013.

T. Y. Huang, Y. H. Lin, and H. Wang, A K-Band adaptive-bias power amplifier with enhanced linearizer using 0.18um CMOS process, IEEE International Microwave Symposium (IMS), pp.1-3, 2015.

]. L. Hui15, A. J. Huihui, and . Zhang, Improved adaptive Kalman filtering algorithm for vehicular positioning, 34th Chinese Control Conference (CCC), pp.5125-5129, 2015.

]. S. Hus08, Y. Hussain, and . Louet, Peak to average power ratio analysis of multi-carrier and multi-standard signals in software radio context, 3rd International Conference on Information and Communication Technologies: From Theory to Applications (ICTTA), pp.1-5, 2008.

M. Isaksson, D. Wisell, and D. Ronnow, A comparative analysis of behavioral models for RF power amplifiers, IEEE Transactions on Microwave Theory and Techniques, vol.54, issue.1, pp.348-359, 2006.
DOI : 10.1109/TMTT.2005.860500

K. Ito and X. Kaiqi, Gaussian filters for nonlinear filtering problems, IEEE Transactions on Automatic Control, vol.45, issue.5, pp.910-927, 2000.
DOI : 10.1109/9.855552

H. Jiang, X. Yu, and P. Wilford, Digital Predistortion Using Stochastic Conjugate Gradient Method, IEEE Transactions on Broadcasting, vol.58, issue.1, pp.114-124, 2012.
DOI : 10.1109/TBC.2011.2174281

]. V. Jil04, X. R. Jilkov, and . Li, Online Bayesian estimation of transition probabilities for Markovian jump systems, IEEE Transactions on Signal Processing, vol.52, issue.6, pp.1620-1630, 2004.

G. Karam and H. Sari, Improved data predistortion using intersymbol interpolation, IEEE International Conference on Communications, World Prosperity Through Communications, pp.286-291, 1989.
DOI : 10.1109/ICC.1989.49708

J. Kim and J. Konstantinou, Digital predistortion of wideband signals based on power amplifier model with memory, Electronics Letters, vol.37, issue.23, pp.1417-1418, 2001.
DOI : 10.1049/el:20010940

J. Kim, D. Kim, Y. Cho, D. Kang, B. Park et al., Highly Efficient RF Transmitter Over Broad Average Power Range Using Multilevel Envelope-Tracking Power Amplifier, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.62, issue.6, pp.1648-1657, 2015.
DOI : 10.1109/TCSI.2015.2423771

]. S. Kow11, C. Kowlgi, and . Berland, Linearity considerations for multi-standard cellular base station transmitters, European Microwave Conference (EuMC, pp.226-229, 2011.

]. P. Lan08, M. Landin, P. Isaksson, and . Handel, Comparison of evaluation criteria for power amplifier behavioral modeling, IEEE MTT-S International in Microwave Symposium Digest (MTT), pp.1441-1444, 2008.

]. N. Las13, H. Lashkarian, C. Tarn, and . Dick, Crest factor reduction in multi-carrier WCDMA transmitters, IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), pp.321-325, 2013.

]. I. Leo85, S. A. Leontaritis, and . Billings, Input-output parametric models for nonlinear systems part I: deterministic non-Linear systems, International Journal of Control, vol.41, issue.2, pp.303-328, 1985.

]. X. Li00, Y. Li, and . Zhang, Multiple-model estimation with variable structure part V: likely-model set algorithm, IEEE Transactions on Aerospace and Electronic Systems, vol.36, issue.4, pp.448-466, 2000.

]. X. Li05, V. P. Li, and . Jilkov, Survey of maneuvering target tracking

]. Y. Lim00, Y. S. Lim, I. W. Cho, D. H. Cha, and . Youn, An adaptive nonlinear prefilter for compensation of distortion in nonlinear systems, IEEE Transactions on Signal Processing, vol.46, issue.6, pp.1726-1730, 2000.

J. Liu, H. Arslan, L. P. Dunleavy, and J. Paviol, Impact of carrier frequency dependent power amplifier behavior on 802.11a WLAN system, European Conference on Wireless Technology (ECWT), pp.289-292, 2004.

J. Mitola and I. , Cognitive radio: an integrated agent architecture for software defined radio, Royal Intitute of Technology (KTH), 2000.

J. Moon, J. Kim, and B. Kim, Investigation of a Class-J Power Amplifier With a Nonlinear <formula formulatype="inline"><tex Notation="TeX">$C_{\rm out}$</tex> </formula> for Optimized Operation, IEEE Transactions on Microwave Theory and Techniques, vol.58, issue.11, pp.2800-2811, 2010.
DOI : 10.1109/TMTT.2010.2077970

]. D. Mor14, J. Morgan, M. Kim, J. Zierdt, and . Pastalan, Parametric identification of parallel Hammerstein systems, IEEE Transactions on Signal Processing, vol.54, pp.3852-3860, 2014.

C. Nader, P. Landin, W. Van-moer, and N. Bjorsell, Performance Evaluation of Peak-to-Average Power Ratio Reduction and Digital Pre-Distortion for OFDM Based Systems, IEEE Transactions on Microwave Theory and Techniques, vol.59, issue.12, pp.3504-3511, 2011.
DOI : 10.1109/TMTT.2011.2170583

]. D. Par14, P. Parveg, A. Singerl, H. M. Wiesbauer, C. Nemati et al., A broadband, efficient, overdriven class-J RF power amplifier for burst mode operation, European Microwave Conference (EuMC), pp.1666-1669, 2014.

C. Presti, D. Kimball, and P. Asbeck, Closed-Loop Digital Predistortion System With Fast Real-Time Adaptation Applied to a Handset WCDMA PA Module, IEEE Transactions on Microwave Theory and Techniques, vol.60, issue.3, pp.604-618, 2012.
DOI : 10.1109/TMTT.2011.2181860

R. Raich, H. Qian, and G. Zhou, Orthogonal Polynomials for Power Amplifier Modeling and Predistorter Design, IEEE Transactions on Vehicular Technology, vol.53, issue.5, pp.1468-1479, 2013.
DOI : 10.1109/TVT.2004.832415

J. D. Rhodes, Output universality in maximum efficiency linear power amplifiers, International Journal of Circuit Theory and Applications, vol.45, issue.4, pp.385-405, 2003.
DOI : 10.1002/cta.239

W. J. Rugh, Nonlinear system theory: the Volterra/ Wiener approach, 1981.

]. A. Sal83, J. Saleh, and . Salz, Adaptive linearization of power amplifiers in digital radio systems, The Bell System Technical Journal, vol.62, issue.4, pp.1019-1033, 1983.

]. A. Sar14, B. Sarkar, and . Floyd, A 28-GHz class-J power amplifier with 18-dBm output power and 35% peak PAE in 120-nm SiGe BiCMOS, IEEE 14th Topical Meeting on Silicon Monolithic Integrated Circuits in RF Systems (SiRF), pp.71-73, 2014.

M. Schoukens, R. Pintelon, and Y. Rolain, Parametric Identification of Parallel Hammerstein Systems, IEEE Transactions on Instrumentation and Measurement, vol.60, issue.12, pp.3931-3938, 2014.
DOI : 10.1109/TIM.2011.2138370

]. Z. Sig12, E. Sigrist, B. Grivel, and . Alcoverro, Estimating second-order Volterra system parameters from noisy measurements based on an LMS variant or an errors-invariables method, Signal Processing, vol.92, pp.1010-1020, 2012.

F. Taringou, O. Hammi, and F. Ghannouchi, Behaviour modelling of wideband RF transmitters using Hammerstein???Wiener models, IET Circuits, Devices & Systems, vol.4, issue.4, pp.282-290, 2015.
DOI : 10.1049/iet-cds.2009.0258

]. A. Teh10, H. Tehrani, M. Cao, C. Isaksson, and . Fager, A comparative analysis of the complexity/accuracy tradeoff in power amplifier behavioral models, IEEE Transactions on Microwave Theory and Techniques, vol.58, issue.6, pp.1510-1520, 2010.

J. Vuolevi and T. Rahkonen, Distortion in RF power amplifiers, 2003.

E. Wan and R. Merwe, Kalman filtering and neural networks, 2002.

]. A. Weg06 and . Wegener, High-performance crest factor reduction processor for w-CDMA and OFDM applications, IEEE Symposium on Radio Frequency Integrated Circuits (RFIC), pp.1-4, 2006.

]. P. Wri09, J. Wright, P. J. Lees, S. C. Tasker, and . Cripps, A Methodology for realizing high efficiency class-J in a linear and broadband PA, IEEE Transactions on Microwave Theory and Techniques, vol.57, pp.3196-3204, 2009.

D. Y. Wu, F. Mkadem, and S. Boumaiza, Design of a broadband and highly efficient 45W GaN power amplifier via simplified real frequency technique, IEEE MTT-S International Microwave Symposium Digest (MTT), pp.1090-1093, 2010.

J. Zeleny, C. Dehos, P. Rossona, and A. Kaiser, Receiver-aided predistortion of power amplifier non-linearities in cellular networks, IET Science, Measurement & Technology, vol.6, issue.3, pp.168-175, 2012.
DOI : 10.1049/iet-smt.2011.0016

URL : https://hal.archives-ouvertes.fr/hal-00787384