Efficient Algorithms for Implementing Multistage Wiener Filter in Adaptive Arrays

Ding Qian-jun; Wang Yong-liang; Zhang Yong-shun

Volume 28 Issue 5

Aug. 2010

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Article Navigation > Journal of Electronics & Information Technology > 2006 > 28(5): 936-940

Ding Qian-jun, Wang Yong-liang, Zhang Yong-shun. Efficient Algorithms for Implementing Multistage Wiener Filter in Adaptive Arrays[J]. Journal of Electronics & Information Technology, 2006, 28(5): 936-940.

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Ding Qian-jun, Wang Yong-liang, Zhang Yong-shun. Efficient Algorithms for Implementing Multistage Wiener Filter in Adaptive Arrays[J]. Journal of Electronics & Information Technology, 2006, 28(5): 936-940.

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Efficient Algorithms for Implementing Multistage Wiener Filter in Adaptive Arrays

Received Date: 2004-09-13
Rev Recd Date: 2005-01-01
Publish Date: 2006-05-19

Abstract

Abstract

Based on the analysis of the algorithms for implementing Multistage Wiener Filter (MWF), the MWF implemented by the Correlation Subtraction Algorithm (CSA) is proved to be an Unitary MWF (UMWF). The rank reduction performance of UMWF is superior to the original MWF proposed by Goldstein, Reed, and Scharf. In this paper, the block matrixes in the CSA are modified to reduce the size of the observation data vectors step by step in the forward recursion of MWF. The modified block matrixes can also be used in the CSA architecture. The new implementing algorithm needs a lower computation complexity, while keeping almost the same performance as the CSA. The validity of the proposed algorithm is proved by the simulation results.

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References

Goldstein J S, Reed I S, Scharf L L. A multistage representation of the Wiener filter based on orthogonal projections[J].IEEE Trans. on Information Theory.1998, 44 (7):2943-[2]Ricks D C, Goldstein J S. Efficient architectures for implementing adaptive algorithms. Proceedings of the 2000 Antenna Applications Symposium, Allerton Park, Monticello, IL, Sept. 2000: 29.41.[3]Ricks D C, Cifuentes P G, Goldstein J S. Adaptive beamforming using multistage Wiener filter with a soft stop. Conference Record of the Thirty.Fifth Asilomar Conference on Signals, Systems Computers, Pacific Grove, CA, USA, Nov. 2001:14011.406.[4]Weippert M E, Hiemstra J D, Goldstein J S, et al.. Insights from the relationship between the multistage Wiener filter and the method of conjugate gradients. 2nd IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM 2002), Rosslyn VA, August 2002: 388.392.[5]Joham M, Zoltowski M D. Interpretation of the multi-stage nested Wiener filter in the Krylov subspace framework. Tech. Rep. TUM-LNS-TR-00-6, Munich University of Technology, November 2000. Also: Technical Report TR-ECE-00.51, Purdue University.

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