Bi-conjugate gradient based computation of weight vector in space-time adaptive processing



在空时自适应信号处理中, 权重向量是通过杂波协方差矩阵的逆和一个导向向量的乘积得到的。为了减少计算权重向量的复杂度, 很多研究都是为了降低计算杂波协方差矩阵逆的计算量。本文将计算该权重向量的计算归结为求解一个线性方程组解, 然后用双共轭梯度法求解该权重向量。分析得到该方法的计算复杂度比直接求逆的方法降低了一个级别。

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  1. 1

    Melvin W L. A STAP overview. IEEE Aerosp Electron Syst Mag, 2004, 19: 19–35

    Article  Google Scholar 

  2. 2

    Ma L, Dickson K, McAllister J, et al. QR decomposition-based matrix inversion for high performance embedded MIMO receiver. IEEE Trans Signal Process, 2011, 59: 1859–1867

    Google Scholar 

  3. 3

    Cao J, Wang X. New recursive algorithm for matrix inversion. J Syst Eng Electron, 2008, 19: 381–384

    Article  MATH  Google Scholar 

  4. 4

    Beau S, Marcos S. Range dependent clutter rejection using range-recursive space-time adaptive processing algorithms. Signal Process, 2010, 90: 57–68

    Article  MATH  Google Scholar 

  5. 5

    Yang X P, Liu Y X, Long T. A pulse-order recursive method for inverse matrix computation applied to space-time adaptive processing. Sci China Inf Sci, 2013, 56: 042312

    MathSciNet  Google Scholar 

  6. 6

    Fletcher R. Conjugate gradient methods for indefinite systems. In: Watson G A, ed. Numerical Analysis. Berlin/Heidelberg: Springer-Verlag, 1976. 73–89

    Google Scholar 

  7. 7

    Joly P, Meurant G. Complex conjugate gradient methods. Numer Math, 1993, 4: 379–406

    MathSciNet  MATH  Google Scholar 

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Correspondence to Ran Tao.

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Bai, G., Tao, R. & Wang, Y. Bi-conjugate gradient based computation of weight vector in space-time adaptive processing. Sci. China Inf. Sci. 59, 129301 (2016).

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  • 空时自适应信号处理
  • 杂波协方差矩阵
  • 杂波抑制
  • 权重向量
  • 双共轭梯度法