Multichannel Fast QR-Decomposition Algorithms: Weight Extraction Method and Its Applications

“…These methods generally perform Volterra system coefficient estimations based on nonlinear least mean squares (NLMS), least mean pth power (LMP), nonlinear recursive least squares (NRLS) and extended Kalman filters [7,[15][16][17][18][19][20][21] . Furthermore, genetic algorithms [22,23] , QR decomposition [24] , neuro-fuzzy [25] and neural network [26] architectures have also been used in VSI studies. For all these studies, nonlinearity degree of Volterra model is assumed to be known.…”

Section: Identification Of Volterra Systemsmentioning

confidence: 99%

Bayesian Volterra system identification using reversible jump MCMC algorithm

2017

View full text Add to dashboard Cite

Volterra systems have had significant success in modelling nonlinear systems in various real-world applications. However, it is generally assumed that the nonlinearity degree of the system is known beforehand. In this paper, we contribute to the literature on Volterra system identification (VSI) with a numerical Bayesian approach which identifies model coefficients and the nonlinearity degree concurrently. Although this numerical Bayesian method, namely reversible jump Markov chain Monte Carlo (RJMCMC) algorithm has been used with success in various model selection problems, our use is in a novel context in the sense that both memory size and nonlinearity degree are estimated. The aforementioned study ensures an anomalous approach to RJMCMC and provides a new understanding on its flexible use which enables trans-structural transitions between different classes of models in addition to transdimensional transitions for which it is classically used. We study the performance of the method on synthetically generated data including OFDM communications over a nonlinear channel.

show abstract

Adaptive control and signal processing literature survey (No. 17)

2010

Adaptive Control & Signal

View full text Add to dashboard Cite

In order to keep readers up-to-date, the journal will contain a list of recently published journal articles relevant to the fields of adaptive control and signal processing six times a year. This list is compiled from a wide range of journals. Please note that even though the list has been broadly categorized these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please email Erfu Yang at erfu.yang@eee.strath.ac.uk. ADAPTIVE SYSTEMSAhmed-Ali T, Postoyan R, Lamnabhi-Lagarrigue F. Continuous-discrete adaptive observers for state affine systems. Automatica 2009; 45(12):2986-2990. Chang Y. Adaptive sliding mode control of multi-input nonlinear systems with perturbations to achieve asymptotical stability. IEEE Transactions on Automatic Control 2009; 54(12):2863-2869. Fisher J, Bhattacharya R. Linear quadratic regulation of systems with stochastic parameter uncertainties. Automatica 2009; 45(12):2831-2841. Geromel J, Colaneri P. H ∞ and dwell time specifications of continuous-time switched linear systems. IEEE Transactions on Automatic Control 2010; 55(1):207-212. Girard A, Pola G, Tabuada P. Approximately bisimilar symbolic models for incrementally stable switched systems. IEEE Transactions on Automatic Control 2010; 55(1): 116-126. Hu G, Gans N, Fitz-Coy N, Dixon W. Adaptive homography-based visual servo tracking control via a quaternion formulation. IEEE Transactions on Control Systems Technology 2010; 18(1):128-135. Karagiannis D, Sassano M, Astolfi A. Dynamic scaling and observer design with application to adaptive control. Automatica 2009; 45(12):2883-2889. Leva A, Piroddi L, Felice M, Boer A, Paganini A. Adaptive relay-based control of household freezers with on-off actuators. Control Engineering Practice 2010; 18(1):94-102. Lin Z, Lin Y, Zhang W. A unified design for state and output feedback H ∞ control of nonlinear stochastic Markovian jump systems with state and disturbance-dependent noise. robust control of linear motors with dynamic friction compensation using modified LuGre model. Automatica 2009; 45(12):2890-2896. Mojica-Nava E, Quijano N, Rakoto-Ravalontsalama N, Gauthier A. A polynomial approach for stability analysis of switched systems. Systems and Control Letters 2010; 59(1): 98-104. Nuño E, Ortega R, Basañez L. An adaptive controller for nonlinear teleoperators. Automatica 2010; 46(1):155-159. Patre P, MacKunis W, Johnson M, Dixon W. Composite adaptive control for Euler-Lagrange systems with additive disturbances. Automatica 2010; 46(1):140-147. Sang Q, Tao G. Gain margins of adaptive control systems. IEEE Transactions on Automatic Control 2010; 55(1): 104-115. Tanelli M, Picasso B, Bolzern P, Colaneri P. Almost sure stabilization of uncertain continuous-time Markov jump linear systems. IEEE Transactions on Automatic Control 2010; 55(1):195-201. Wang J, Hovakimyan N, Cao C. Verifiable adaptive flight control: unmanned combat aerial vehicle and a...

show abstract

Multichannel Fast QR-Decomposition Algorithms: Weight Extraction Method and Its Applications

Cited by 10 publications

References 21 publications

Research on linearisation of power amplifier based on digital pre‐distortion

Research on linearisation of power amplifier based on digital pre‐distortion

Bayesian Volterra system identification using reversible jump MCMC algorithm

Adaptive control and signal processing literature survey (No. 17)

Contact Info

Product

Resources

About