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Volume 29 Issue 3
Jan.  2011
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Shao Chao, Lu Guang-yue . Alternating Separation Algorithm and Its Cramer-Rao Bound[J]. Journal of Electronics & Information Technology, 2007, 29(3): 582-584. doi: 10.3724/SP.J.1146.2005.00756
Citation: Shao Chao, Lu Guang-yue . Alternating Separation Algorithm and Its Cramer-Rao Bound[J]. Journal of Electronics & Information Technology, 2007, 29(3): 582-584. doi: 10.3724/SP.J.1146.2005.00756

Alternating Separation Algorithm and Its Cramer-Rao Bound

doi: 10.3724/SP.J.1146.2005.00756
  • Received Date: 2005-06-27
  • Rev Recd Date: 2005-12-08
  • Publish Date: 2007-03-19
  • This paper provides the Cramer-Rao lower bound of alternating separation algorithm. In the Cramer-Rao bound, the #61485; inversion of a definite matrix must be established, which extends the theory of Cramer-Rao bound. In additional, this Cramer-Rao bound displays the multiple signal effect in the parameter estimated process. By discussion the Cramer-Rao lower bound of Alternating Separation algorithm, some properties of the signal separation operator matrix are given.
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  • [1] Kay S M. Fundamentals of Statistical Signal Processing. vol. I: Estimation Theory. Prentice Hall PTR, 1993. [2] Dogandzic A and Nehorai A. Cramer-Rao bounds for estimating range, velocity, and direction with an active array[J].IEEE Trans. on SP.2001, 49(6):1122-1137 [3] Francos J M. Cramer-Rao bound on the estimation accuracy of complex-valued homogeneous Gaussian random fields[J].IEEE Trans. on SP.2002, 50(3):710-724 [4] Stoica P and Nehorai A. MUSIC, maximum likelihood, and Cramer-Rao bound[J].IEEE Trans. on ASSP.1989, 37(5):720-741 [5] Friedlander B and Porat B. The exact Cramer-Rao bound for Gaussian autoregressive processes. IEEE Trans. on AES, 1989, 25(1): 3-8. [6] Shao Chao, Lu Guangyue, and Bao Zheng. The matrix form of alternating separation algorithm. ICSP04, Beijing, China, 2004, vol(I): 69-72. [7] Shao Chao, Lu Guangyue, and Bao Zheng. A novel direction of arrival estimator[J].Journal of Electronics (China.2004, 21(2):97-103 [8] Shao Chao, Lu Guangyue, and Bao Zheng. Some properties of AS,AP and ASAP algorithm[J].Science in China (F.2004, 47(4):409-420 [9] 王松桂, 杨振海. 广义逆矩阵及其应用. 北京: 北京工业大学出版社, 1996.
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