Abstract
The conventional subband adaptive filter (SAF) based on poly-phase decomposition has fast convergence behavior compared by fullband adaptive filter. However, the complexity for one-stage signal decomposition increases significantly, as increasing the number of subband to improve the convergence further. To solve this problem, a new SAF is proposed in this letter, which is constructed with two-stage decomposition. Based on the proposed structure, an adaptive algorithm of updating coefficients is derived based on the principle of minimal disturbance. Compared to the conventional SAF with one-stage decomposition, the proposed one has similar convergence rate with a lower complexity. Theoretical analysis and simulation results validated the superiority of the proposed SAF.
Similar content being viewed by others
References
Lee, K. A., & Gan, W. S. (2006). Inherent decorrelating and least perturbation properties of the normalized subband adaptive filter. IEEE Transactions on Signal Processing, 54, 4475–4480.
Sandeep Pradhan, S., & Reddy, V. U. (1999). A new approach to subband adaptive filtering. IEEE Transactions on Signal Processing, 47, 655–664.
Lee, K. A., & Gan, W. S. (2004). Improving convergence of the NLMS algorithm using constrained subband updates. IEEE Signal Processing Letters, 11, 736–739.
Seong-Eun, K., Young-Seok, C., Moon-Kyu, S., & Woo-Jin, S. (2010). A subband adaptive filtering algorithm employing dynamic selection of subband filters. IEEE Signal Processing Letters, 17, 245–248.
Jingen, N., & Feng, L. (2009). A variable regularization matrixnormalized subband adaptive filter. IEEE Signal Processing Letters, 16, 105–108.
Vityazev, V. V., & Linovich, A.Y. (2010). A subband equalizer with the flexible structure of the analysis/synthesis subsystem. In 2010 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering (SIBIRCON) (pp. 174–178).
Vladimir, A. Y. L., & Vityazev, V. (2009). Flexible time–frequency decomposition in subband equalization. In 17th Telecommunications forum TELFOR (pp. 540–543).
Koilpillai, R. D., & Vaidyanathan, P. P. (1992). Cosine-modulated FIR filter banks satisfying perfect reconstruction. IEEE Transactions on Signal Processing, 40, 770–783.
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was partially supported by Natural Science Foundations of China (No. 61001182), Natural Science Foundation of Guangdong, China (Nos. S2013010012227, 10451806001004788), Science and Technology innovation Programs of Colleges and Universities in Guangdong (No. 2013KJCX0160) and Fundamental Research Programs of Shenzhen City (Nos. JCYJ20130329105415965, JC201005280556A).
Rights and permissions
About this article
Cite this article
Xie, N., Ling, J. & Wang, H. A Low Complexity Subband Adaptive Filter with Two-Stage Decomposition. Wireless Pers Commun 82, 2301–2309 (2015). https://doi.org/10.1007/s11277-015-2348-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-015-2348-8