PA efficiency enhancement using digital linearization techniques in uplink cognitive radio systems

For a battery driven terminal, the power amplifier (PA) efficiency must be optimized. Consequently,non-linearities may appear at the PA output in the transmission chain. To compensatethese distortions, one solution consists in using a digital post-distorter based on aVolterra model of both the PA and the channel and a Kalman filter (KF) based algorithm tojointly estimate the Volterra kernels and the transmitted symbols. Here, we suggest addressingthis issue when dealing with uplink cognitive radio (CR) system. In this case, additionalconstraints must be taken into account. Since the CR terminal may switch from one subbandto another, the PA non-linearities may vary over time. Therefore, we propose to designa digital post-distorter based on an interacting multiple model combining various KF basedestimators using different model parameter dynamics. This makes it possible to track thetime variations of the Volterra kernels while keeping accurate estimates when those parametersare static. Furthermore, the single carrier case is addressed and validated by simulationresults. In addition, the relevance of the proposed approach is confirmed by measurementscarried on a (300-3000) MHz broadband PA.

[1]  J. Lees,et al.  A Methodology for Realizing High Efficiency Class-J in a Linear and Broadband PA , 2009, IEEE Transactions on Microwave Theory and Techniques.

[2]  P. Rosson,et al.  Receiver-aided predistortion of power amplifier non-linearities in cellular networks , 2012 .

[3]  C. Fager,et al.  Digital Predistortion Using a Vector-Switched Model , 2012, IEEE Transactions on Microwave Theory and Techniques.

[4]  Jungsang Kim,et al.  Digital predistortion of wideband signals based on power amplifier model with memory , 2001 .

[5]  Yves Rolain,et al.  Parametric Identification of Parallel Hammerstein Systems , 2011, IEEE Transactions on Instrumentation and Measurement.

[6]  A. Kibangou,et al.  Nonlinear system modeling and identification using Volterra‐PARAFAC models , 2012 .

[7]  Yong Soo Cho,et al.  An adaptive nonlinear prefilter for compensation of distortion in nonlinear systems , 1998, IEEE Trans. Signal Process..

[8]  Dayong Zhou,et al.  Novel Adaptive Nonlinear Predistorters Based on the Direct Learning Algorithm , 2007, IEEE Transactions on Signal Processing.

[9]  Pui-In 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 , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Amir Ghasemi,et al.  Spectrum sensing in cognitive radio networks: requirements, challenges and design trade-offs , 2008, IEEE Communications Magazine.

[11]  Y. Bar-Shalom,et al.  Multiple-model estimation with variable structure , 1996, IEEE Trans. Autom. Control..

[12]  Ai Jun Zhang,et al.  Improved adaptive Kalman filtering algorithm for vehicular positioning , 2015, 2015 34th Chinese Control Conference (CCC).

[13]  S. C. Cripps,et al.  RF Power Amplifiers for Wireless Communications , 1999 .

[14]  Bumman Kim,et al.  Highly Efficient RF Transmitter Over Broad Average Power Range Using Multilevel Envelope-Tracking Power Amplifier , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Audrey Giremus,et al.  Fault detection combining interacting multiple model and multiple solution separation for aviation satellite navigation system , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[16]  S. Haykin Kalman Filtering and Neural Networks , 2001 .

[17]  L.P. Dunleavy,et al.  Impact of carrier frequency dependent power amplifier behavior on 802.11a WLAN system , 2004, 7th European Conference on Wireless Technology, 2004..

[18]  Huei Wang,et al.  A K-Band adaptive-bias power amplifier with enhanced linearizer using 0.18-µm CMOS process , 2015, 2015 IEEE MTT-S International Microwave Symposium.

[19]  X. R. Li,et al.  Online Bayesian estimation of transition probabilities for Markovian jump systems , 2004, IEEE Transactions on Signal Processing.

[20]  V. Jilkov,et al.  Survey of maneuvering target tracking. Part V. Multiple-model methods , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[21]  Thia Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation: Theory, Algorithms and Software , 2001 .

[22]  F.M. Ghannouchi,et al.  Behavioral modeling and predistortion , 2009, IEEE Microwave Magazine.

[23]  Y. Bar-Shalom,et al.  Nonlinear filtering using Gauss-Hermite quadrature and generalised Edgeworth series , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[24]  P. M. Asbeck,et al.  Closed-Loop Digital Predistortion System With Fast Real-Time Adaptation Applied to a Handset WCDMA PA Module , 2012, IEEE Transactions on Microwave Theory and Techniques.

[25]  Navid Lashkarian,et al.  Crest Factor Reduction in Multi-carrier WCDMA Transmitters , 2005, 2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications.

[26]  Mohamed Najim,et al.  A Rao-Blackwellized Particle Filter for Joint Channel/Symbol Estimation in MC-DS-CDMA Systems , 2010, IEEE Transactions on Communications.

[27]  Christian Fager,et al.  A Comparative Analysis of the Complexity/Accuracy Tradeoff in Power Amplifier Behavioral Models , 2010, IEEE Transactions on Microwave Theory and Techniques.

[28]  Edward J. Powers,et al.  A simplified predistorter for compensation of nonlinear distortion in OFDM systems , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[29]  J. Lees,et al.  On the Continuity of High Efficiency Modes in Linear RF Power Amplifiers , 2009, IEEE Microwave and Wireless Components Letters.

[30]  S. Haykin,et al.  Cubature Kalman Filters , 2009, IEEE Transactions on Automatic Control.

[31]  A. A. M. Saleh,et al.  Adaptive linearization of power amplifiers in digital radio systems , 1983, The Bell System Technical Journal.

[32]  G.T. Zhou,et al.  Comparison of Selected Mapping and Partial Transmit Sequence for Crest Factor Reduction in OFDM , 2006, MILCOM 2006 - 2006 IEEE Military Communications conference.

[33]  Y. Louet,et al.  Peak to Average Power Ratio Analysis of Multi-carrier and Multi-standard Signals in Software Radio Context , 2008, 2008 3rd International Conference on Information and Communication Technologies: From Theory to Applications.

[34]  A. Wegener High-performance crest factor reduction processor for W-CDMA and OFDM applications , 2006, IEEE Radio Frequency Integrated Circuits (RFIC) Symposium, 2006.

[35]  Bumman Kim,et al.  The Doherty Power Amplifier: Review of Recent Solutions and Trends , 2015, IEEE Transactions on Microwave Theory and Techniques.

[36]  Steve C. Cripps,et al.  Advanced Techniques in RF Power Amplifier Design , 2002 .

[37]  Olivier Venard,et al.  On the system level convergence of ILA and DLA for digital predistortion , 2012, 2012 International Symposium on Wireless Communication Systems (ISWCS).

[38]  J. D. Rhodes Output universality in maximum efficiency linear power amplifiers , 2003, Int. J. Circuit Theory Appl..

[39]  Joseph Mitola,et al.  Cognitive Radio An Integrated Agent Architecture for Software Defined Radio , 2000 .

[40]  Fadhel M. Ghannouchi,et al.  Behaviour modelling of wideband RF transmitters using Hammerstein-Wienermodels , 2010, IET Circuits Devices Syst..

[41]  Kazufumi Ito,et al.  Gaussian filters for nonlinear filtering problems , 2000, IEEE Trans. Autom. Control..

[42]  J.L. Wyatt,et al.  Nonlinear system theory. The Volterra/Weiner approach , 1982, Proceedings of the IEEE.

[43]  Sergio Benedetto,et al.  Nonlinear Equalization of Digital Satellite Channels , 1982, IEEE J. Sel. Areas Commun..

[44]  Timo Rahkonen,et al.  Distortion in RF power amplifiers , 2003 .

[45]  I. J. Leontaritis,et al.  Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .

[46]  Andrea J. Goldsmith,et al.  Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective , 2009, Proceedings of the IEEE.

[47]  Sylvie Marcos,et al.  A blind network of extended Kalman filters for nonstationary channel equalization , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[48]  Xin Yu,et al.  Digital Predistortion Using Stochastic Conjugate Gradient Method , 2010, IEEE Transactions on Broadcasting.

[49]  Slim Boumaiza,et al.  Baseband Equivalent Volterra Series for Behavioral Modeling and Digital Predistortion of Power Amplifiers Driven With Wideband Carrier Aggregated Signals , 2014, IEEE Transactions on Microwave Theory and Techniques.

[50]  Fadhel M. Ghannouchi,et al.  A dual branch Hammerstein-Wiener architecture for behavior modeling of wideband RF transmitters , 2010, 2010 IEEE MTT-S International Microwave Symposium.

[51]  Renato Negra,et al.  Achieving linearity for outphasing amplifiers targeting LTE applications and beyond , 2013, 2013 Asia-Pacific Microwave Conference Proceedings (APMC).

[52]  Slim Boumaiza,et al.  Joint dual-band crest factor reduction and digital predistortion of power amplifiers driven by inter-band carrier aggregated signals , 2014, 2014 IEEE MTT-S International Microwave Symposium (IMS2014).

[53]  Ezio Biglieri,et al.  Analysis and compensation of nonlinearities in digital transmission systems , 1988, IEEE J. Sel. Areas Commun..

[54]  Eric Grivel,et al.  Estimating second-order Volterra system parameters from noisy measurements based on an LMS variant or an errors-in-variables method , 2012, Signal Process..

[55]  Corinne Berland,et al.  Linearity considerations for multi-standard cellular base station transmitters , 2011, 2011 41st European Microwave Conference.

[56]  Brian Floyd,et al.  A 28-GHz class-J Power Amplifier with 18-dBm output power and 35% peak PAE in 120-nm SiGe BiCMOS , 2014, 2014 IEEE 14th Topical Meeting on Silicon Monolithic Integrated Circuits in Rf Systems.

[57]  Raviv Raich,et al.  Orthogonal polynomials for power amplifier modeling and predistorter design , 2004, IEEE Transactions on Vehicular Technology.

[58]  Bumman Kim,et al.  Investigation of a Class-J Power Amplifier With a Nonlinear $C_{\rm out}$ for Optimized Operation , 2010, IEEE Transactions on Microwave Theory and Techniques.

[59]  Sheng Chen An Efficient Predistorter Design for Compensating Nonlinear Memory High Power Amplifiers , 2011, IEEE Transactions on Broadcasting.