© The Institution of Engineering and Technology
This paper proposes a new variable step-size sign algorithm through the minimisation of mean-square deviation (MSD). As it is difficult to obtain the MSD accurately, the upper bound of the MSD is derived for calculating the step size at each iteration. The proposed algorithm is not only robust to impulsive noises, but also has improved filter performance in aspects of convergence rate and steady-state estimation error owing to the proposed variable step-size strategy. The simulation results verify that the proposed algorithm has better performance than the existing algorithms in a system-identification scenario in the presence of impulsive noises.
References
-
-
1)
-
22. Zou, Y., Chan, S., Ng, T.: ‘A recursive least m-estimate (RLM) adaptive filter for robust filtering in impulse noise’, IEEE Signal Process. Lett., 2000, 7, (11), pp. 324–326 (doi: 10.1109/97.873571).
-
2)
-
3. Jin, J., Qu, Q., Gu, Y.: ‘Robust zero-point attraction least mean square algorithm on near sparse system identification’, IET Signal Process., 2013, 7, (3), pp. 210–218 (doi: 10.1049/iet-spr.2012.0125).
-
3)
-
15. Ng, Y.H., Mohamad, H., Chuah, T.C.: ‘Block-based fuzzy step size NLMS algorithms for subband adaptive channel equalisation’, IET Signal Process., 2009, 3, (1), pp. 23–32 (doi: 10.1049/iet-spr:20070222).
-
4)
-
2. Haykin, S.: ‘Adaptive filter theory’ (Prentice-Hall, 2002, 4th edn.).
-
5)
-
16. Stankovic, L., Dakovic, M., Vujovic, S.: ‘Adaptive variable step algorithm for missing samples recovery in sparse signals’, IET Signal Process., 2014, 8, (3), pp. 246–256 (doi: 10.1049/iet-spr.2013.0385).
-
6)
-
20. Rey Vega, L., Rey, H., Benesty, J., Tressens, S.: ‘A new robust variable step-size NLMS algorithm’, IEEE Trans. Signal Process., 2008, 56, (5), pp. 1878–1893 (doi: 10.1109/TSP.2007.913142).
-
7)
-
19. Shin, J., Yoo, J., Park, P.: ‘Variable step-size affine projection sign algorithm’, Electron. Lett., 2012, 48, (9), pp. 483–485 (doi: 10.1049/el.2012.0751).
-
8)
-
12. Park, P., Chang, M., Kong, N.: ‘Scheduled-step size NLMS algorithm’, IEEE Signal Process. Lett., 2009, 16, (12), pp. 1055–1058 (doi: 10.1109/LSP.2009.2026197).
-
9)
-
6. Li, X., Sun, J., Wang, S., Fan, L., Chen, L.: ‘Near-optimal detection with constant false alarm ratio in varying impulsive interference’, IET Signal Process., 2013, 7, (9), pp. 824–832 (doi: 10.1049/iet-spr.2013.0024).
-
10)
-
7. Jung, S.M., Park, P.: ‘Normalised least-mean-square algorithm for adaptive filtering of impulsive measurement noises and noisy inputs’, Electron. Lett., 2013, 49, (20), pp. 1270–1272 (doi: 10.1049/el.2013.2482).
-
11)
-
1. Sayed, A.H.: ‘Fundamental of adaptive filtering’ (Wiley, 2003).
-
12)
-
18. Lee, C.H., Park, P.: ‘Optimal step-size affine projection algorithm’, IEEE Signal Process. Lett., 2012, 19, (7), pp. 431–434 (doi: 10.1109/LSP.2012.2195311).
-
13)
-
13. Gonzalez, A., Albu, F., Ferrer, M., de Diego, M.: ‘Evolutionary and variable step size strategies for multichannel filtered-x affine projection algorithms’, IET Signal Process., 2013, 7, (6), pp. 471–476 (doi: 10.1049/iet-spr.2012.0213).
-
14)
-
10. Tiange, S., Zheng, Y.R., Benesty, J.: ‘An affine projection sign algorithm robust against impulsive interferences’, IEEE Signal Process. Lett., 2010, 17, (4), pp. 327–330 (doi: 10.1109/LSP.2010.2040203).
-
15)
-
21. Asif Iqbal, M., Grant, S.L.: ‘Novel variable step size NLMS algorithms for echo cancellation’. Acoustics, Speech and Signal Processing (ICASSP), 2008, pp. 241–244.
-
16)
-
11. Arikan, O., Enis Cetin, A., Erzin, E.: ‘Adaptive filtering for non-Gaussian stable processes’, IEEE Signal Process. Lett., 1994, 1, (11), pp. 163–165 (doi: 10.1109/97.335063).
-
17)
-
4. Ardekani, I., Abdulla, W.: ‘Stochastic modelling and analysis of filtered-x least-mean-square adaptation algorithm’, IET Signal Process., 2013, 7, (6), pp. 486–496 (doi: 10.1049/iet-spr.2012.0090).
-
18)
-
8. Yoo, J., Shin, J., Park, P.: ‘Improved affine projection sign algorithm for sparse system identification’, Electron. Lett., 2012, 48, (15), pp. 927–929 (doi: 10.1049/el.2012.1563).
-
19)
-
14. Haque, M.A., Hasan, M.K.: ‘Variable step-size multichannel frequency-domain LMS algorithm for blind identification of finite impulse response systems’, IET Signal Process., 2007, 1, (4), pp. 182–189 (doi: 10.1049/iet-spr:20070022).
-
20)
-
17. Lee, C.H., Park, P.: ‘Scheduled-step-size affine projection algorithm’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2012, 59, (9), pp. 2034–2043 (doi: 10.1109/TCSI.2012.2185298).
-
21)
-
9. Kwong, C.P.: ‘Dual sign algorithm for adaptive filtering’, IEEE Trans. Commun., 1986, 34, (12), pp. 1272–1275 (doi: 10.1109/TCOM.1986.1096490).
-
22)
-
5. Wu, L., Qiu, X.: ‘Active impulsive noise control algorithm with post adaptive filter coefficient filtering’, IET Signal Process., 2013, 7, (6), pp. 515–521 (doi: 10.1049/iet-spr.2012.0164).
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-spr.2014.0253
Related content
content/journals/10.1049/iet-spr.2014.0253
pub_keyword,iet_inspecKeyword,pub_concept
6
6