A Novel Forgetting Factor Recursive Least Square Algorithm Applied to the Human Motion Analysis
This paper is concerned with studying the forgetting factor of the recursive least square (RLS). A new dynamic forgetting factor (DFF) for RLS algorithm is presented. The proposed DFF-RLS is compared to other methods. Better performance at convergence and tracking of noisy chirp sinusoid is achieved. The control of the forgetting factor at DFF-RLS is based on the gradient of inverse correlation matrix. Compared with the gradient of mean square error algorithm, the proposed approach provides faster tracking and smaller mean square error. In low signal-to-noise ratios, the performance of the proposed method is superior to other approaches.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1061798Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1731
 S.Haykin, Adaptive Filter Theory, 3rd-ed, Printice Hall,1996.
 S.Haykin, A.H.Sayed, J.Zeidler, P.Yee, P.Wei, "Tracking of linear Time-Variant Systems," Proc. MILCOM, pp.602-606, San Diego, Nov. 1995.
 H.Sadoghi Yazdi, M.Lotfizad, E.Kabir , M.Fathi "Application of trajectory learning in tracking vehicles in the traffic scene" 9th Iranian computer conference vol.1, pp.180-187, Feb 2004. (In Persian)
 H.Sadoghi Yazdi, M.Lotfizad "A new approach for tracking objects using combination of RLS and MAP algorithms, 11th,Iranian Electronic Eng. Conference vol.3, pp.258-266, 2003. (In Persian)
 J. Jiang, R. Cook, "Fast Parameter Tracking RLS Algorithm with High Noise Immunity," Electronic Letters 28, pp. 2043-2045, October 1992.
 D.J. Park, B.E. Jun, "Self-Perturbing RLS Algorithm with Fast Tracking Capability," Electronics Letters 28, pp. 558-559, March 1992.
 J.M. Cio, T. Kailath, "Fast Fixed-Order, Least Squares Algorithms for Adaptive Filtering," ICASSP 83, Boston, 1983.
 C.F. So, S.C. Ng, S.H. Leung, "Gradient Based Variable Forgetting Factor RLS Algorithm," Signal Processing 83, pp. 1163 - 1175, 2003.
 T.R. Fortescue, L.S. Kershenbaum, B.E. Ydstie, Implementation of Self-Tuning Regulators with Variable Forgetting Factors," Automatica 17, pp. 831-835, 1981.
 D.J. Park, et al., "Fast Tracking RLS Algorithm Using Novel Variable Forgetting Factor with Unity Zone, Electron. Letters 27, pp. 2150-2151, November 1991.
 S. Song, et al., "Gauss Newton Variable Forgetting Factor Recursive Least Squares for Time Varying Parameter Tracking," Electron. Letters 36, pp. 988-990, May 2000.
 D. T. M. Slock and T. Kailath, "Fast transversal filters with data sequence weighting," IEEE Trans. Acoust., Speech, Signal Process., vol. 33, no. 3, pp. 346-359, Mar. 1989.
 B. Toplis and S. Pasupathy, "Tracking improvements in fast RLS algorithms using a variable forgetting factor," IEEE Trans. Acoust., Speech, Signal Process., vol. 36, no. 2, pp. 206-227, Feb. 1988.
 Shu-Hung Leung, C. F. So, "Gradient-Based Variable Forgetting Factor RLS Algorithm in Time-Varying Environments," IEEE Trans. On Signal Processing, vol. 53, no. 8, pp.3141-3150, Aug. 2005.
 D.M. Gavrila, "The Visual Analysis of Human Movement: A Survey," Computer Vision and Image Understanding, vol. 73, no. 1, pp. 82-98, 1999.
 T.B. Moeslund and E. Granum, "A Survey of Computer Vision- Based Human Motion Capture," Computer Vision and Image Understanding, vol. 81, no. 3, pp. 231-268, Mar. 2001.
 Y. Wang, G. Baciu, "Human Motion Estimation from Monocular Image Sequence Based on Cross-Entropy Regularization," Pattern Recognition Letters, vol.24, pp.315-325, 2003.
 L. Wang, W. Hu, T. Tan, "Recent Developments in Human Motion Analysis," Pattern Recognition, vol. 36, pp. 585-601, 2003.N. Kawasaki, "Parametric study of thermal and chemical nonequilibrium nozzle flow," M.S. thesis, Dept. Electron. Eng., Osaka Univ., Osaka, Japan, 1993.
 F. Marzani, E. Calais, L. Legrand, "A 3-D Marker-Free System for the analysis of Movement Disabilities-An Application to the Legs," IEEE Trans. On Information Technology in Biomedicine, Vol. 5, No.1, March 2001.
 W. Lu, Y-P. Tan, "A Vision-Based Approach to Early Detection of Drowning Incidents in Swimming Pools," IEEE Trans. On Circuits and Systems for Video Technology, Vol. 14, No.2, pp. 159-178, Feb. 2004.
 L.Zhao, C.Thorpe, " Qualitative and Quantitative Car Tracking from a Range Image Sequence," Proc. CVPR, Santa Barbara, CA, June 23-25, pp. 496-501,1998.
 A. K. Roy-Chowdhury, "A measure of deformability of shapes, with applications to human motion analysis," IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2005, Vol.1, pp.398-404, June 2005.
 S-E. Kim, C-J. Park, I-H. Lee, "A Tracking Method of End- Effectors in a Vision-Based Marker-Free Motion Capture System," Proceedings of the 2004 IEEE conf. on Cybernetics and Intelligent Systems, pp. 129-134, Dec. 2004.
 Q. Xian-Jie, W. Zhao-Qi, X. Shi-Hong, W. Yong-Dong, "A Virtual- Real Comparison Technique Used on Sport Simulation and Analysis," IEEE
 L. Molina-Tanco, J. P. Bandera, R. Marfil, F. Sandoval, "Real-time Human Motion Analysis for Human-Robot Interaction," IEEE/RSJ International Conf. on Intelligent Robots and Systems, IROS 2005, pp. 1808-1813, Aug. 2005.
 B. Dariush, H. Hemami, M. Parnianpour, "Analysis and Synthesis of Human Motion From External Measurements," IEEE Int. Conf. on Robotics & Automation, pp. 4015-4020, April 2000.