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A direct position determination algorithm for constant modulus signals with single moving observer
Received date: 2015-06-11
Revised date: 2015-12-19
Online published: 2015-12-28
Supported by
National Natural Science Foundation of China (61201381)
Compared with the conventional two-step (including direction finding and position estimation) localization mode, the direct position determination (DPD) algorithm presented by Weiss et al have more advantages, such as higher estimation accuracy, strong resolution capability, no data association issue, etc. Based on the idea behind this novel localization mechanism, a new DPD algorithm for constant modulus (also called phase-modulated) signals with a moving antenna array is presented in this paper. First, the DPD optimization model is constructed based on maximum likelihood (ML) criterion as well as the constant modulus property of phase-modulated source. Then, an effective alternating iteration algorithm is devised according to the algebraic property of the cost function, which can provide the optimal numerical solution of the ML estimator. In addition, the Cramér-Rao bound (CRB) on the position estimation variance for constant modulus signals is also derived, which can be used as the theoretical lower bound for target position estimation. Simulation results demonstrate that compared to the existing DPD algorithm with single moving observer and the conventional two-step localization algorithm, the DPD estimation accuracy can be considerably improved if the constant modulus characteristic is incorporated into the localization algorithm.
WANG Ding , ZHANG Gang , SHEN Caiyao , ZHANG Jie . A direct position determination algorithm for constant modulus signals with single moving observer[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016 , 37(5) : 1622 -1633 . DOI: 10.7527/S1000-6893.2015.0347
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