Abstract
The zero attracting least mean square algorithm has improved performance than conventional LMS when the system is sparse and its performance decreases when the sparsity level is decreased or when the system is time varying. The proposed algorithm focused on optimization of both step size and zero attractor controller using state variable model to improve the overall performance at all sparsity levels. Simulations in the context of time varying sparse system identification proved that the proposed algorithm provides good performance when compared to the conventional ones.




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Benesty, J., & Gay, S. L. (2002). An improved PNLMS algorithm. In 2002 IEEE international conference on acoustics, speech, and signal processing (ICASSP) (Vol. 2, pp. II–1881).
Benesty, J., Paleologu, C., & Ciochin, S. (2010). Proportionate adaptive filters from a basis pursuit perspective. IEEE Signal Processing Letters, 17(12), 985–988.
Breining, C., Dreiscitel, P., Hänsler, E., Mader, A., Nitsch, B., Puder, H., et al. (1999). Acoustic echo control. An application of very-high-order adaptive filters. IEEE Signal Processing Magazine, 16(4), 42–69.
Chen, Y., Gu, Y., & Hero, III, A. O. (2009). Sparse LMS for system identification. In IEEE international conference on acoustics, speech and signal processing, 2009 (ICASSP 2009) (pp. 3125–3128).
Ciochină, S., Paleologu, C., & Benesty, J. (2016). An optimized NLMS algorithm for system identification. Signal Processing, 118, 115–121.
Ciochina, S., Paleologu, C., Benesty, J., Grant, S. L. (2015). An optimized proportionate adaptive algorithm for sparse system identification. In 2015 49th Asilomar conference on signals, systems and computers (pp. 1546–1550).
Das, B. K., Azpicueta-Ruiz, L. A., Chakraborty, M., & Arenas-Garcia, J. (2014). A comparative study of two popular families of sparsity-aware adaptive filters. In 2014 4th international workshop on cognitive information processing (CIP) (pp. 1–6).
Das, B. K., & Chakraborty, M. (2014). Sparse adaptive filtering by an adaptive convex combination of the LMS and the ZA-LMS algorithms. IEEE Transactions on Circuits and Systems I: Regular Papers, 61(5), 1499–1507.
Deng, H., & Doroslovački, M. (2006). Proportionate adaptive algorithms for network echo cancellation. IEEE Transactions on Signal Processing, 54(5), 1794–1803.
Duttweiler, D. L. (2000). Proportionate normalized least-mean-squares adaptation in echo cancelers. IEEE Transactions on Speech and Audio Processing, 8(5), 508–518.
Gui, G., Kumagai, S., Mehbodniya, A., & Adachi, F. (2013). Variable is good: Adaptive sparse channel estimation using VSS-ZA-NLMS algorithm. In WCSP (pp. 1–5).
Haykin, S. S. (2008). Adaptive filter theory. New Delhi: Pearson Education India.
Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35–45.
Li, W., & Preisig, J. C. (2007). Estimation of rapidly time-varying sparse channels. IEEE Journal of Oceanic Engineering, 32(4), 927–939.
Molisch, Andreas F. (2005). Ultra wideband propagation channels-theory, measurement, and modeling. IEEE Transactions on Vehicular Technology, 54(5), 1528–1545.
Paleologu, C., Benesty, J., & Ciochina, S. (2013). Study of the optimal and simplified Kalman filters for echo cancellation. In 2013 IEEE international conference on acoustics, speech and signal processing (ICASSP) (pp. 580–584).
Radecki, J., Zilic, Z., & Radecka, K. (2000). Echo cancellation in IP networks. In The 2002 45th Midwest Symposium on Circuits and Systems (MWSCAS-2002) (Vol. 2, pp. II-219).
Sayed, A. H. (2003). Fundamentals of adaptive filtering. New York: Wiley.
Shi, K., & Shi, P. (2010). Convergence analysis of sparse LMS algorithms with l 1-norm penalty based on white input signal. Signal Processing, 90(12), 3289–3293.
Sivashanmugam, R., & Arumugam, S. (2016). Robust adaptive algorithm by an adaptive zero attractor controller of ZA-LMS algorithm. Mathematical Problems in Engineering. https://doi.org/10.1155/2016/3945895.
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Radhika, S., Arumugam, C. An optimized ZA-LMS algorithm for time varying sparse system. Int J Speech Technol 22, 441–447 (2019). https://doi.org/10.1007/s10772-019-09616-7
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DOI: https://doi.org/10.1007/s10772-019-09616-7