ZHI Yongfeng, SI Lei, SHI Fuqian, DAI Dameng. Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error[J]. Chinese Journal of Electronics, 2017, 26(2): 351-357. doi: 10.1049/cje.2016.06.020
Citation: ZHI Yongfeng, SI Lei, SHI Fuqian, DAI Dameng. Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error[J]. Chinese Journal of Electronics, 2017, 26(2): 351-357. doi: 10.1049/cje.2016.06.020

Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error

doi: 10.1049/cje.2016.06.020
Funds:  This work is supported by National Natural Science Foundation of China (No.61201321, No.61471300, No.61501331), Natural Science Basic Research Plan in Shaanxi Province of China (No.2014JQ8356), Fundamental Research Funds for the Central Universities (No.3102014JCQ01063), and Zhejiang Provincial Natural Science Foundation of China (No.LZ14F010002).
  • Received Date: 2015-04-16
  • Rev Recd Date: 2015-09-14
  • Publish Date: 2017-03-10
  • A new statistical analysis model is proposed to analyze the Affine projection algorithm with direction error (AP-DE). Four assumptions are made, which are based on the direction vector for the AP-DE algorithm. Under these assumptions, deterministic recursive equations for the weight error and for the mean-square error are derived. We also analyze the steady-state behavior of the AP-DE algorithm. Simulation results are provided to corroborate the analytical results.
  • loading
  • K. Ozeki and T. Umeda, "An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties", Electronics and Communication in Japan, Vol.67, No.5, pp.19-27, 1984.
    S.G. Sankaran and A.A. Beex, "Normalized LMS algorithm with orthogonal correction factors", Proc. of 31th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, pp.1670-1673, 1997.
    F. Albu, C. Kotropoulos, Z. Cernekova and I. Pitas, "New affine projection algorithms based on Gauss-Seidel method", Proc. of International Symposium on Signals, Circuits and Systems, Iasi, Romania, pp.565-568, 2005.
    F. Bouteille, P. Scalart and M. Corazza, "Pseudo affine projection algorithm new solution for adaptive identification", Proc. of Eurospeech, Vol.1, No.1, pp.427-430, 1999.
    Y.F. Zhi, R. Li and H.X. Li, "A new affine projection algorithm and its statistical behavior", Chinese Journal of Electronics, Vol.22, No.3, pp.537-542, 2013.
    S.G. Sankaran and A.A. Beex, "Convergence behavior of affine projection algorithms", IEEE Transactions on Signal Processing, Vol.48, No.4, pp.1086-1096, 2000.
    T.K. Paul and T. Ogunfunmi, "On the convergence behavior of the affine projection algorithm for adaptive filters", IEEE Transactions on Circuits and Systems, Vol.58, No.8, pp.1813-1826, 2011.
    S.J.M.D. Almeida, J.C.M Bermudez and N.J. Bershad, "A statistical analysis of the affine projection algorithm for unity step size and autoregressive inputs", IEEE Transactions on Circuits and Systems, Vol.52, No.7, pp.1394-1405, 2005.
    S.J.M.D. Almeida, J.C.M Bermudez and N.J. Bershad, "A stochastic model for a pseudo affine projection algorithm", IEEE Transactions on Signal Processing, Vol.57, No.1, pp.107-118, 2009.
    A. Papoulis, Probability, Random Variables, and Stochastic Processes, McGraw-Hill, NY, 1965.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (126) PDF downloads(443) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return