# Tracking Positioning Algorithm for Direction of Arrival Based on Direction Lock Loop

^{1}

^{2}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. System Modeling

## 3. DOA Estimation Algorithm Based on the DILL

^{2}is the noise covariance. Therefore, the sampled signal of the K user can be expressed by:

## 4. UKF filtering processing

## 5. Simulation results and performance comparison

## 6. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

- Le Bihan, N.; Miron, S.; Mars, J.I. MUSIC algorithm for vector-sensors array using biquaternions. IEEE Trans. Signal Process.
**2007**, 55, 4523–4533. [Google Scholar] [CrossRef] - Badeau, R.; Richard, G.; David, B. Performance of ESPRIT for estimating mixtures of complex exponentials modulated by polynomials. IEEE Trans. Signal Process.
**2008**, 56, 492–504. [Google Scholar] [CrossRef] - Wei, Y.-S.; Tan, J.-B.; Guo, R. Parallel computing algorithm for MUSIC spatial spectrum estimation. Syst. Eng. Electron.
**2012**, 34, 12–16. [Google Scholar] - Zhao, X.-H.; Yang, J.; Zhao, X.-L. Research of the Increase of Smart Antenna DOA Estimate Veracity. Chin. J. Sens. Actuators
**2007**, 20, 132–137. [Google Scholar] - Seo, D.Y.; Min, S.Y.; Lee, K.B.; Lee, Y.-H. Coherent DiLL for Direction of Arrival Estimation. 2002 6th Int. Conf. Signal Process.
**2002**, 1, 334–337. [Google Scholar] - Deng, H.-B.; Zhang, L.; Wu, Y.; Zhou, J.; Liu, F. Research on track estimation based on Kalman filtering algorithm. Transducer Microsyst. Technol.
**2012**, 31, 4–7. [Google Scholar] - Song, T.L.; Speyer, J.L. A stochastic analysis of a modified gain extended Kalman filter with applications to estimation with bearings only measurements. IEEE Trans. Autom. Control
**1985**, 30, 940–949. [Google Scholar] [CrossRef] - Zhang, P.; Huang, C.; Qiao, X. Study on SINS/GPS Deeply Integrated Navigation Based on Adaptive Extended Kalman Filter. Chin. J. Sens. Actuators
**2010**, 23, 408–412. [Google Scholar] - Liu, X.; Song, C.; Hu, L.; Zhong, Z. A Locating and Tracking Algorithm Based on UKF. J. Detect. Control
**2012**, 34, 71–75. [Google Scholar] - Julier, S.J.; Uhlmann, J.K. Unscented filtering and nonlinear estimation. Proc. IEEE
**2004**, 92, 401–422. [Google Scholar] [CrossRef] - Min, S.Y.; Seo, D.Y.; Lee, K.B.; Kwon, H.M.; Lee, Y.-H. Direction-of-arrival tracking scheme for DS/CDMA systems: Direction lock loop. IEEE Trans. Wireless Commun.
**2004**, 3, 191–202. [Google Scholar] [CrossRef] - Min, S.Y.; Lee, K.B.; Lee, Y.-H. Direction of arrival estimation algorithm: Direction lock loop. In Proceedings of CDMA International Conference, Seoul, Korea, 21 May 2002.
- Liberti, J.C.; Rappaport, T.S. Smart Antenna in Wireless Communication: IS-95 and Third Generation CDMA Application, 1st ed.; Mechanical Industry Press: Beijing, China, 2002. [Google Scholar]
- Wang, A.-D.; Qiu, Y.-Y.; Yu, Y.-P.; Li, S.-J. Tracking algorithm for multiple spatial targets based on direction lock loop. J. Zhejiang Univ. (Eng. Sci.)
**2011**, 45, 1052–1056. [Google Scholar]

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## Share and Cite

**MDPI and ACS Style**

Cheng, X.-Z.; Zhu, D.-R.; Zhang, S.; He, P.
Tracking Positioning Algorithm for Direction of Arrival Based on Direction Lock Loop. *Future Internet* **2015**, *7*, 214-224.
https://doi.org/10.3390/fi7030214

**AMA Style**

Cheng X-Z, Zhu D-R, Zhang S, He P.
Tracking Positioning Algorithm for Direction of Arrival Based on Direction Lock Loop. *Future Internet*. 2015; 7(3):214-224.
https://doi.org/10.3390/fi7030214

**Chicago/Turabian Style**

Cheng, Xiu-Zhi, Da-Rong Zhu, Shen Zhang, and Ping He.
2015. "Tracking Positioning Algorithm for Direction of Arrival Based on Direction Lock Loop" *Future Internet* 7, no. 3: 214-224.
https://doi.org/10.3390/fi7030214