Two Low Computational Complexity Improved Multiband Structured Subband Adaptive Filter Algorithms

Document Type : Article

Authors

1 Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, P.O. Box: 16785-163, Iran

2 Department of Electrical Engineering and Computer Science, Faculty of Science and Engineering, University of Stavanger, Norway

Abstract

The improved multiband-structured subband adaptive filter (IMSAF) applies the input regressors at each subband to speed up the convergence rate of MSAF. When the projection order is increased, the convergence rate of the IMSAF algorithm improves at the cost of increased complexity. The present research introduces two new IMSAF algorithms with low computational complexity feature. In the first algorithm, the selective partial update approach (SPU) is extended to IMSAF algorithms and SPU-IMSAF is established. In SPU-IMSAF, the filter coefficients are partially updated at each subband for every adaptation. In the second algorithm, the set-membership (SM) strategy is utilized in IMSAF and SM-IMSAF is established. The SM-IMSAF has fast convergence rate, low steady-state error and low computational complexity features at the same time. Also, by combining SM and SPU methods, the SM-SPU-IMSAF is introduced. Simulation results demonstrate the good performance of the proposed algorithms.

Keywords

Main Subjects

References

References:
1. Widrow, B. and Stearns, D., Adaptive Signal Processing, Englewood Cliffs, NJ Prentice Hall, Inc (1985).
2. Haykin, S.S., Adaptive Filter Theory, Pearson Education cIndia, 5th Edn. (2013).
3. Sayed, A.H., Adaptive Filters, John Wiley & Sons, Inc. (2008).
4. Farhang-Boroujeny, B., Adaptive Filters: Theory and Applications, John Wiley & Sons, Ltd (2013).
5. Dogancay, K., Partial-Update Adaptive Signal Processing: Design Analysis and Implementation, Academic Press (2008).
6. Ozeki, K. and Umeda, T. "An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties", Electron. Commun. Japan (Part I Commun.), 67, pp. 19-27 (1984).
7. Lee, K.-A. and Gan, W.-S. "Improving convergence of the NLMS algorithm using constrained subband updates", IEEE Signal Process. Lett., 11(9), pp. 736- 739 (2004).
8. Abadi, M.S.E. and Danaee, A.-R. "Low computational complexity family of affine projection algorithms over adaptive distributed incremental networks", AEUInternational J. Electron. Commun., 68, pp. 97-110 (2014).
9. Shams Esfand Abadi, M. and Shafiee, M.S. "A family of diffusion normalized subband adaptive filter algorithms over distributed networks", Int. J. Commun. Syst., 30, pp. 1-15 (2017).
10. Lee, J.-W., Kim, S.-E., and Song, W.-J. "Dataselective diffusion LMS for reducing communication overhead", Signal Processing, 113, pp. 211-217 (2015).
11. Dogancay, K. and Tanrikulu, O. "Adaptive filtering algorithms with selective partial updates", IEEE Trans. Circuits Syst. II Analog Digit. Signal Process., 48(8), pp. 762-769 (2001).
12. Aboulnasr, T. and Mayyas, K. "Complexity reduction of the NLMS algorithm via selective coefficient update", IEEE Trans. Signal Process., 47(5), pp. 1421-1424 (1999).
13. Werner, S., De Campos, M.L.R., and Diniz, P.S.R."Partial-update NLMS algorithms with data-selective updating", IEEE Trans. Signal Process., 52(4), pp. 938-949 (2004).
14. Abadi, M.S.E., Mehrdad, V., and Gholipour, A. "A family of variable step-size affine projection adaptive filtering algorithms with selective regressors and selective partial updates", Sci. Iran. Trans. D, Comput. Sci. Eng. Electr., 17, pp. 81-98 (2010).
15. Arablouei, R., Werner, S., Huang, Y.-F., and Dogancay, K. "Distributed least mean-square estimation with partial diffusion", IEEE Trans. Signal Process., 62, pp. 472-484 (2013).
16. Abadi, M.S.E. and Husy, J.H. "Selective partial update and set-membership subband adaptive filters", Signal Processing, 88, pp. 2463-2471 (2008).
17. Desiraju, N.K., Doclo, S., and Wolff, T. "Efficient multichannel acoustic echo cancellation using constrained tap selection schemes in the subband domain", EURASIP J. Adv. Signal Process., 2017, p.63 (2017).
18. Abadi, M.S.E., Shafiee, M.S., and Zalaghi, M. "A low computational complexity normalized subband adaptive filter algorithm employing signed regressor of input signal", EURASIP J. Adv. Signal Process., 2018(1), pp. 1-23 (2018).
19. Cho, J., Baek, H.J., Park, B.Y., and Shin, J. "Variable step-size sign subband adaptive filter with subband filter selection", Signal Processing, 152, pp. 141-147 (2018).
20. Abadi, M.S.E. and Shafiee, M.S. "Diffusion normalized subband adaptive algorithm for distributed estimation employing signed regressor of input signal", Digit.Signal Process., 70, pp. 73-83 (2017).
21. Doust, H.A.M. and Shah, T.K. "NLMS algorithm with variable step-size using set-membership identification", Sci. Iran. Trans. D, Comput. Sci. Eng. Electr., 9, pp. 378-384 (2002).
22. Gollamudi, S., Nagaraj, S., Kapoor, S., and Huang, Y.-F. "Set-membership filtering and a set-membership normalized LMS algorithm with an adaptive step size", IEEE Signal Process. Lett., 5, pp. 111-114 (1998).
23. Werner, S. and Diniz, P.S.R. "Set-membership affine projection algorithm", IEEE Signal Process. Lett., 8, pp. 231-235 (2001).
24. Yang, F., Wu, M., Ji, P., and Yang, J. "An improved multiband-structured subband adaptive filter algorithm", IEEE Signal Process. Lett., 19(10), pp. 647-650 (2012).
25. Yang, F., Wu, M., Ji, P., and Yang, J. "Low- complexity implementation of the improved multibandstructured subband adaptive filter algorithm", IEEE Trans. Signal Process., 63(19), pp. 5133-5148 (2015).
26. Yang, F., Wu, M., Ji, P., Kuang, Z., and Yang, J. "Transient and steady-state analyses of the improved multiband-structured subband adaptive filter algorithm", IET Signal Process., 9, pp. 596-604 (2015).
27. Abadi, M.S.E., Husy, J.H., and Ahmadi, M.J. "Two improved multiband structured subband adaptive filter algorithms with reduced computational complexity", Signal Processing, 154, pp. 15-29 (2019).
28. Malvar, H.S., Signal Processing with Lapped Transforms, Artech House, Inc. (1992).
Scientia Iranica
Volume 28, Issue 6 - Serial Number 6
Transactions on Computer Science & Engineering and Electrical Engineering (D)
November and December 2021
Pages 3396-3411

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