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The zero attraction affine projection algorithm (ZA-APA) achieves better performance in terms of convergence rate and steady state error than standard APA when the system is sparse. It uses l1 norm penalty to exploit sparsity of the channel. The performance of ZA-APA depends on the value of zero attractor controller. Moreover a fixed attractor controller is not suitable for varying sparsity environment. This paper proposes an optimal adaptive zero attractor controller based on Mean Square Deviation (MSD) error to work in variable sparsity environment. Experiments were conducted to prove the suitability of the proposed algorithm for identification of unknown variable sparse system.
Rocznik
Tom
Strony
695--700
Opis fizyczny
Bibliogr. 17 poz., wykr.
Twórcy
autor
- Sathyabama Institute of Science and Technology, Chennai, India
autor
- St. Joseph’s College of Engineering, Chennai, India
autor
- Sathyabama Institute of Science and Technology, Chennai, India
Bibliografia
- [1] R. K. Martin, W. A. Sethares, R. C. Williamson, and C. R. J. Jr., “Exploiting sparsity in adaptive filters,” IEEE Trans. Signal Process., vol. 50, no. 8, pp. 1883-1894, Aug. 2002.
- [2] M. Kocic, D. Brady, and M. Stojanovic, “Sparse equalization for real-time digital underwater acoustic communications,” in Proc. IEEE OCEANS, pp. 1417–1422, 1995.
- [3] E. Hansler, “The hands-free telephone problem - An annotated bibliography, ”Signal Process., vol. 27, no. 3, pp. 259–271, Jun. 1992.
- [4] W. Bajwa, J. Haupt, G. Raz, and R. Nowak, “Compressed channel sensing,” in Proc. IEEE CISS, pp. 5–10, 2008.
- [5] Y. Chen, Y. Gu, and A. O. Hero, “Sparse LMS for system identification,” ICASSP, pp. 3125-3128, Taiwan, Apr. 2009.
- [6] Meng, R. “Sparsity-aware Adaptive Filtering Algorithms and Application to System Identification“, Doctoral dissertation, University of York, 2011.
- [7] Meng, Ran, Rodrigo C. de Lamare & Vitor H. Nascimento, "Sparsity-aware affine projection adaptive algorithms for system identification.", Sensor Signal Processing for Defence (SSPD 2011). IET, 2011.
- [8] Radhika, S., and Arumugam Sivabalan. "ZA-APA with zero attractor controller selection criterion for sparse system identification." Signal, Image and Video Processing 12.2 (2018): 371-377.
- [9] Das, B.K., Chakraborty, M.: Sparse adaptive filtering by an adaptive convex combination of the LMS and the ZA-LMS algorithm. IEEE Trans. Circuits Syst. I Regul. Pap. 61(5), 1499–1507 (2014).
- [10] Radhika, S., and Sivabalan Arumugam. "Robust Variable Zero Attractor Controller Based ZA-LMS Algorithm for Variable Sparsity Environment." National Academy science letters 41.2 (2018): 85-89.
- [11] Lima, Markus VS, et al. "Stability and MSE analyses of affine projection algorithms for sparse system identification." Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on. IEEE, 2014.
- [12] Y. Gu, J. Jin, and S. Mei, “l0 Norm constraint LMS algorithm for sparse system identification,” IEEE Signal Process. Lett., vol. 16, no. 9, pp. 774-777, Sep. 2009.
- [13] T. Y. Al-Naffouri and A. H. Sayed, “Transient analysis of adaptive filters with error nonlinearities,” IEEE Trans. Signal Process., vol. 51, no. 3, pp. 653-663, Mar. 2003.
- [14] Zhang, Sheng, and Jiashu Zhang. "Transient analysis of zero attracting NLMS algorithm without Gaussian inputs assumption." Signal Processing 97 : 100-109, 2014.
- [15] Price, R. “A useful theorem for nonlinear devices having Gaussian inputs”, IRE Transactions on Information Theory, 4(2), 69-72, 1958.
- [16] Sivashanmugam, Radhika, and Sivabalan Arumugam. "Robust Adaptive algorithm by an adaptive zero attractor controller of ZA-LMS algorithm." Mathematical Problems in Engineering 2016 (2016).
- [17] Shi, K. and Shi, P., 2010. Convergence analysis of sparse LMS algorithms with l1-norm penalty based on white input signal. Signal Processing, 90(12), pp. 3289-3293.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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