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Modified recursive least squares (rls) algorithm for neural networks using piecewise linear function

IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS 2004年第6期151卷 510-518页

作者： Gokhale, AP Nawghare, PM Visvesvaraya Natl Inst Technol Dept Elect & Comp Sci Nagpur 440011 Maharashtra India

The recursive least squares (rls) learning algorithm for multilayer feedforward neural networks uses a sigmoid nonlinearity at node outputs. It is shown that by using a piecewise linear function at node outputs, the algorithm becomes faster. The modified algorithm improves computational efficiency and by preserving matrix symmetry it is possible to avoid explosive divergence, which is normally seen in the conventional rls algorithm due to the finite precision effects. Also the use of this piecewise linear function avoids the approximation, which is otherwise necessary in the derivation of the conventional algorithm with sigmoid nonlinearity. Simulation results on the XOR problem, 4-2-4 encoder and function approximation problem indicate that the modified algorithm reduces the occurrence of local minima and improves the convergence speed compared to the conventional rls algorithm. A nonlinear system identification and control problem is considered to demonstrate the application of the algorithm to complex problems.

关键词： recursive least squares algorithm matrix symmetry piecewise linear function node outputs multilayer feedforward neural networks function approximation piecewise linear techniques convergence speed rls algorithm explosive divergence feedforward neural nets least squares approximations XOR problem computational efficiency 4-2-4 encoder sigmoid nonlinearity finite precision effects local minima recursive functions

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Adaptive Array Beam Forming Using a Combined rls-LMS algorithm

Adaptive Array Beam Forming Using a Combined RLS-LMS Algorit...

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14th Asia-Pacific Conference on Communications

作者： Srar, Jalal Abdulsayed Chung, Kah-Seng Curtin Univ Technol Dept Elect & Comp Engn Perth WA Australia

ISBN: (纸本)9784885522321

A new adaptive algorithm, called RLMS, which combines the use of Recursive Least Square (rls) and Least Mean Square (LMS), is proposed for array beam forming. The convergence of the RLMS algorithm is analyzed, in terms of mean square error, in the presence of additive white Gaussian noise. Computer simulation results show that the convergence performance of RLMS is superior to either rls or LMS operating on its own. Furthermore, the convergence of RLMS is quite insensitive to changes in either signal-to-noise ratio, or the initial value of the input correlation matrix for the rls section, or the step size adopted for the LMS section.

关键词： rls algorithm LMS algorithm RLMS algorithm array processing adaptive array beam forming

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Recursive identification of time-varying systems: Self-tuning and matrix rls algorithms

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SYSTEMS & CONTROL LETTERS 2014年第1期66卷 104-110页

作者： Li, Jianshu Zheng, Yuanjin Lin, Zhiping Nanyang Technol Univ Sch Elect & Elect Engn Singapore 639798 Singapore

In this paper, a new parallel adaptive self-tuning recursive least squares (rls) algorithm for time-varying system identification is first developed. Regularization of the estimation covariance matrix is included to mitigate the effect of non-persisting excitation. The desirable forgetting factor can be self-tuning estimated in both non-regularization and regularization cases. We then propose a new matrix forgetting factor rls algorithm as an extension of the conventional rls algorithm and derive the optimal matrix forgetting factor under some reasonable assumptions. Simulations are given which demonstrate that the performance of the proposed self-tuning and matrix rls algorithms compare favorably with two improved rls algorithms recently proposed in the literature. (C) 2014 Elsevier B.V. All rights reserved.

关键词： Recursive identification Time-varying system Self-tuning rls algorithm Matrix forgetting factor rls algorithm

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Adaptive tracking of linear time-variant systems by extended rls algorithms

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 1997年第5期45卷 1118-1128页

作者： Haykin, S Sayed, AH Zeidler, JR Yee, P Wei, PC UNIV CALIF LOS ANGELES DEPT ELECT & COMP ENGNLOS ANGELESCA 90095 UNIV CALIF SAN DIEGO DEPT ELECT & COMP ENGNLA JOLLACA 92093 LSI LOG CARLSBADCA 92008

In this paper, we exploit the one-to-one correspondences between the recursive least-squares (rls) and Kalman variables to formulate extended forms of the rls algorithm, Two particular forms of the extended rls algorithm are considered: one pertaining to a system identification problem and the other pertaining to the tracking of a chirped sinusoid in additive noise, For both of these applications, experiments are presented that demonstrate the tracking superiority of the extended rls algorithms compared with the standard rls and least-mean-squares (LMS) algorithms.

关键词： extended rls algorithms the Kalman filter LMS algorithm rls algorithm tracking performance

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A signal detection algorithm based on rls adaptive AR model in low signal to noise ratio condition

A signal detection algorithm based on RLS adaptive AR model ...

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Asia-Pacific Optical and Wireless Communications Conference (APOC 2003)

作者： Zhang, ZF Wu, TF Yang, XG PLA Univ Sci & Technol Inst Commun Engn Nanjing Peoples R China

ISBN: (纸本)0819451797

It is a difficult problem to detect signal in low signal to noise ratio condition. A signal detection algorithm based on AR model is presented. The coefficients of AR model are found using rls algorithm. The maximum magnitude of coefficients is summed to make the decision variable and compared to threshold. This algorithm has many advantages, such as small requirement of computation, high speed and independent of signal form, etc. Detecting complex sinusoid, QPSK and GMSK signals in white Gaussian noise under low signal to noise ratio condition are simulated. Results show that this algorithm can achieve better performance.

关键词： signal detection AR model rls algorithm

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A MISO acoustic echo cancellation algorithm based on a two-layer filter decomposition

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SIGNAL PROCESSING 2025年 232卷

作者： Cao, Zi Yan, Tianci Chen, Jie Chen, Jingdong Benesty, Jacob Northwestern Polytech Univ Sch Marine Sci & Technol Xian Peoples R China Northwestern Polytech Univ Shenzhen Res & Dev Inst Shenzhen Peoples R China Univ Quebec Quebec City PQ Canada

The recursive least-squares (rls) algorithm is a promising algorithm in acoustic echo cancellation (AEC) thanks to its fast convergence rate and competitive performance. However, its complexity is rather high, particularly when the system operates in acoustic environments with long acoustic impulse responses. This paper deals with the problem of AEC in a multiple-input and single-output (MISO) audio system, which consists of multiple loudspeakers and a microphone at the receiving room. A method is developed in the short-time-Fourier-transform (STFT) domain, which operates on a subband basis. In every STFT subband, the convolutive-transfer-function (CTF) model is adopted, so the echo path is modeled with a finite impulse response (FIR) filter. A two-layer decomposition (TLD) of the filter matrix is then applied and an rls-type of algorithm is subsequently deduced to achieve channel identification and echo cancellation. This algorithm is able to achieve echo cancellation performance comparable to rls algorithm with significantly lower complexity.

关键词： Acoustic echo cancellation Convolutive transfer function Kronecker decomposition rls algorithm

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A new SPArls algorithm for tuning power system stabilizer

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INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS 2015年 68卷 327-335页

作者： Ragavendiran, A. Gnanadass, R. Ramakrishnan, K. Pondicherry Engn Coll Dept EEE Pondicherry 605014 India

Generators have to meet the change in real and reactive power demand of practical power system. The real power variations in the system are met out by the rescheduling process of the generators. But there is a huge trust to meet out the reactive power load demand. The excitation loop of the corresponding generator is adjusted with its electric limits to activate the reactive power of the network. To expedite the reactive power delivery, power system stabilizer (PSS) is connected in the exciter loop of the generator for various system conditions. In this paper, a new Sparse Recursive Least Square (SPArls) algorithm is demonstrated to tune the power system stabilizer parameters to meet the vulnerable conditions. The proposed SPArls algorithm makes use of expectation maximization (EM) updation to tune the PSS. A comparative study between the proposed SPArls and rls algorithm has been performed on single machine infinite bus system (SMIB). The simulation results obtained will validate the effectiveness of the proposed algorithm and the impact of stability studies of the power system operation under disturbances. The SPArls algorithm is also used to tune the parameters of PSS to achieve quicker settling time for the system parameter such as load angle, field voltage and speed deviation. It is found that the SPArls is a better algorithm for the determination of optimum stabilizer parameter. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： SMIB system PSS rls algorithm SPArls algorithm EM method

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Adaptive equalization with rls-MLSE assisted by FEC block coding for fading mobile radio channels

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INTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS 1996年第6期9卷 315-321页

作者： Xie, Q Soong, BH Gunawan, E Soh, CB School of Electrical and Electronic Engineering Nanyang Technological University Nanyang Avenue Singapore 639798 [*]School of Electrical and Electronic Engineering Nanyang Technological University Nanyang Avenue Singapore 639798

In this paper, we propose an adaptive maximum-likelihood (ML) sequence estimator with rls channel estimation, which is assisted by forward error control (FEC) coding. The reliable symbols reconstructed in the FEC decoder are used as the feedback signal to the rls channel estimator. The scheme is compared with decision feedback equalization (DFE) with rls algorithm, which is assisted by FEC coding. Computer simulations show that in frequency-selective fast fading mobile radio channels, the proposed scheme performs better at moderate Doppler frequencies. It is suitable for four-phase modulation data transmission at the rate of several 10 kb/s in 900 MHz band or in the 1800 MHz band.

关键词： fading channels equalization FEC coding MLSE rls algorithm

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Extended fast fixed-order rls adaptive filters

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IEEE TRANSACTIONS ON SIGNAL PROCESSING 2001年第12期49卷 3015-3031页

作者： Merched, R Sayed, AH Univ Calif Los Angeles Dept Elect Engn Los Angeles CA 90095 USA

The existing derivations of conventional fast rls adaptive filters are intrinsically dependent on the shift structure in the input regression vectors. This structure arises when a tapped-delay line (FIR) filter is used as a modeling filter. In this paper, we show, unlike what original derivations may suggest, that fast fixed-order rls adaptive algorithms are not limited to FIR filter structures. We show that fast recursions in both explicit and array forms exist for more general data structures, such as orthonormally based models. One of the benefits of working with orthonormal bases is that fewer parameters can be used to model long impulse responses.

关键词： fixed-order filter Laguerre network orthonormal model regularized least-squares rls algorithm

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A RAKE receiver design for WCDMA FDD uplink with an rls-based adaptive beamforming scheme

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IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 2005年第2期54卷 508-515页

作者： Chen, YF Chi, SS Natl Cent Univ Dept Commun Engn Taipei Taiwan

In this paper, we present a RAKE receiver design with adaptive antenna arrays for the wide-band code-division multiple-access (WCDMA) frequency-division duplexing (FDD) uplink. The rls-based adaptive beamforming scheme is proposed and can be built with the existing one-dimensional RAKE receiver. We adaptively calculate the beamforming weight vector for each multipath of the desired user, and use maximum ratio combining (MRC) to combine each multipath signal in the demodulation process. Two matched filters based on the spreading waveforms are designed in our scheme for WCDMA FDD uplink application. The proposed scheme has the ability of suppressing strong multiuser access interference and the other types of interferers through spatial nulling. The tracking capability of the proposed algorithm is demonstrated in the simulation results.

关键词： adaptive beamforming antenna arrays interference cancellation rls algorithm wide-band code-division multiple-access (WCDMA)

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