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自適應(yīng)頻率和二維波達(dá)方向角跟蹤估計(jì)算法

周云鐘,  陳天麒

周云鐘, 陳天麒. 自適應(yīng)頻率和二維波達(dá)方向角跟蹤估計(jì)算法[J]. 電子與信息學(xué)報(bào), 2002, 24(7): 879-886.
引用本文: 周云鐘, 陳天麒. 自適應(yīng)頻率和二維波達(dá)方向角跟蹤估計(jì)算法[J]. 電子與信息學(xué)報(bào), 2002, 24(7): 879-886.
Zhou Yunzhong, Chen Tianqi . Adaptive frequency and 2D DOA estimation tracking[J]. Journal of Electronics & Information Technology, 2002, 24(7): 879-886.
Citation: Zhou Yunzhong, Chen Tianqi . Adaptive frequency and 2D DOA estimation tracking[J]. Journal of Electronics & Information Technology, 2002, 24(7): 879-886.

自適應(yīng)頻率和二維波達(dá)方向角跟蹤估計(jì)算法

Adaptive frequency and 2D DOA estimation tracking

  • 摘要: 運(yùn)用特征子空間分析方法的關(guān)鍵問題在于信號(hào)或噪聲子空間的估計(jì),在實(shí)際中有些信號(hào)的統(tǒng)計(jì)特性通常是隨時(shí)間變化的,這時(shí)需要隨時(shí)根據(jù)新的陣列接收數(shù)據(jù)對(duì)信號(hào)或噪聲子空間進(jìn)行更新,以得到參數(shù)的實(shí)時(shí)估計(jì)值,在該文中建立了多維信號(hào)參量聯(lián)合估計(jì)的3D Unitary ESPRIT算法,然后提出了基于球面平均 ULV分解的子空間跟蹤算法,將子空間跟蹤算法與多維信號(hào)多量聯(lián)合估計(jì)算法相結(jié)合,得到多維時(shí)變信號(hào)參數(shù)的跟蹤估計(jì)算法,仿真計(jì)算結(jié)果驗(yàn)證了該算法的有效性。
    Abstract: The key problem of eigen-subspace methods is the estimation of signal or noise subspace. In practical situations, there exist signals whose statistic characteristics always change over time. To obtain the real-time estimates of signal parameters, it is necessary to update the signal/noise subspace according to newly received array sampled output. In this paper, 3D Unitary ESPRIT algorithm is proposed to achieve the combined estimation of 2D DOA and carrier frequency of impinging signals, then a subspace tracking algorithm based on spherically averaged ULV decomposition is presented. With combination of the above subspace tracking algorithm with 3D Unitary ESPRIT algorithm, adaptive 3D Unitary ESPRIT algorithm is presented to track the time-varying multidimensional parameter estimates. Computer simulation results are provided to demonstrate the effectiveness of the proposed algorithm.
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  • 張賢達(dá),信號(hào)處理中的線性代數(shù),北京,科學(xué)出版社,1998,第10,11章.[2]XL.E. Griffin, G. W. Stewert, Updating MUSIC and root-MUSIC with the rank revealing URVdecomposition, Proc. of 25th Asilomar Conf. Circuits, Syst. Comput., 1991, 277-281.[3]G..W Stewart, An updating algorithm for subspace tracking, IEEE Trans. on SP, 1992, 40(6),1535-1541.[4]R.O. Schmidt, Multiple emitter location and signal parameter estimation, IEEE Trans. on AP.,1986, 34(3), 276-281.[5]K.J.R. Liu, D. P. OLeary, G. W. Stewart, Y. J. J. Wu, URV ESPRIT for tracking time-varying signals, IEEE Trans. on SP, 1994, 42(12), 3441-3448.[6]R. Roy, T. Kailath, ESPRIT-Estimation of signal parameters via rotational invariance techniques,IEEE Trans. on ASSP, 1989, 37(4), 984-995.[7]M. Haardt , J. A. Nossek, Unitary ESPRIT: How to obtain increased estimate accuracy with a reduced computational burden, IEEE Trans. on SP, 1995, 43(5), 1232-1242.[8]M. Haardt, M. D. Zoltowski, C. P. Mathews, J. A. Nossek, 2D Unitary ESPRIT for efficient 2D parameter estimation, Proc.IEEE Int. Conf. Acoust., Speech, Signal Process., Detroit, MI, May 1995, 3, 2096-2099.[9]M. Haardt, J. A. Nossek, Simultaneous schur decomposition of several nonsymmetric matrices to achieve automatic pairing in multidimensional harmonic retrieval problems, IEEE Trans. on SP,1988, 46(1), 161-169.[10]A. Lee, Centrohermitian and skew-centrohermitian matrices, Linear Algebra Applicat., 1980,29(2), 205-210.[11]周云鐘,子空間跟蹤及其在陣列信號(hào)處理中的應(yīng)用,[博士論文],成都,電子科技大學(xué),2000[12]R. D. DeGroat, E. M. Dowling, Non-iterative subspace updating, Proc. SPIE Advanced Algorithms and Architectures for Signal Processing, II, San Diego, July, 1991, 376-387.[13]I. Karasalo, Estimating the covariance matrix by signal subspace averaging, IEEE Trans. on ASSP, 1986, 34(1), 8-12.[14]G.W. Stewart, Updating a rank-revealing ULV decoposition, SIAM J. Matrix Anal. Appl., 1993,14(2), 494-499.[15]D. J. Rabideau, Fast, rank adaptive subspace tracking and applications, IEEE Trans. on SP,1996, 44(9), 2229-2245.
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出版歷程
  • 收稿日期:  2000-08-04
  • 修回日期:  2000-12-21
  • 刊出日期:  2002-07-19

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