A Novel Long‐Time Accumulation Method for Double‐Satellite TDOA/FDOA Interference Localization

In double-satellite interference localization system, the position of the interference source is computed by estimating the time difference of arrival (TDOA) and the frequency difference of arrival (FDOA) between the signals retransmitted by two satellites. The traditional cross ambiguity function (CAF)-based TDOA/FDOA estimation method requires the constant TDOA/FDOA between the two received signals, which can be satisfied only when the signal length is short. Therefore, the CAF estimation method cannot be applied in long-time accumulation (LTA). To solve this problem, a novel LTA method is proposed based on signal segmentation. In the proposed method, the two received signals are first divided into several short signal segments. Subsequently, the TDOA, the initial FDOA, and the FDOA change rate of each signal segment are estimated by a modified CAF method. After compensating the FDOA difference between the signal segments, the results are spliced again to form a complete signal without FDOA variation. Consequently, the signal energy can be concentrated and the estimation accuracy of FDOA can be improved. Experimental results of real data demonstrate that greater signal-to-noise ratio (SNR) gain is achieved by the proposed method, compared to the traditional CAF-based method.

[1]  Rongrong Sun,et al.  Fourth-Order Ambiguity Function Based on the Fractional Fourier Transform , 2008, 2008 Congress on Image and Signal Processing.

[2]  Peter Spellucci,et al.  An SQP method for general nonlinear programs using only equality constrained subproblems , 1998, Math. Program..

[3]  M. Fowler,et al.  Signal models for TDOA/FDOA estimation , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[4]  David M. Lin,et al.  A Weak Signal Tracking Technique for a Stand-Alone Software GPS Receiver , 2002 .

[5]  Zijing Zhang,et al.  TDOA/FDOA estimation method based on dechirp , 2016, IET Signal Process..

[6]  Luo Jingqing,et al.  Joint FDOA and TDOA location algorithm and performance analysis of dual-satellite formations , 2010, 2010 2nd International Conference on Signal Processing Systems.

[7]  Dae Hee Youn,et al.  Comparison of Two Adaptive Methods for Time Delay Estimation , 1984, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Yougen Xu,et al.  TDOA/FDOA joint estimation in a correlated noise environment , 2005, 2005 IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications.

[9]  Zhen Huang,et al.  Coherent TDOA/FDOA estimation method for frequency-hopping signal , 2016, 2016 8th International Conference on Wireless Communications & Signal Processing (WCSP).

[10]  Mati Wax The joint estimation of differential delay, Doppler, and phase , 1982, IEEE Trans. Inf. Theory.

[11]  Robert A. Malaney Nuisance Parameters and Location Accuracy in Log-Normal Fading Models , 2007, IEEE Transactions on Wireless Communications.

[12]  C. Knapp,et al.  Time delay estimation in the presence of relative motion , 1977 .

[13]  Andrew G. Dempster,et al.  Dilution of precision in angle-of-arrival positioning systems , 2006 .

[14]  Oscar Isoz,et al.  Interference from terrestrial sources and its impact on the GRAS GPS radio occultation receiver , 2014 .

[15]  Jian Hui Wang,et al.  One intelligent algorithm for estimation of TDOA and FDOA , 2014, 2014 IEEE 7th Joint International Information Technology and Artificial Intelligence Conference.

[16]  Gengxin Zhang,et al.  An efficient algorithm for TDOA/FDOA estimation based on approximate coherent accumulative of short-time CAF , 2011, 2011 International Conference on Wireless Communications and Signal Processing (WCSP).

[17]  J. Mason,et al.  Algebraic two-satellite TOA/FOA position solution on an ellipsoidal Earth , 2004 .

[18]  S. Stein Algorithms for ambiguity function processing , 1981 .

[19]  D. P. Haworth,et al.  Interference localization for EUTELSAT satellites-the first european transmitter location system , 1997, Int. J. Satell. Commun. Netw..

[20]  Darko Musicki,et al.  Geolocation using TDOA and FDOA measurements , 2008, 2008 11th International Conference on Information Fusion.

[21]  Darko Musicki,et al.  Mobile Emitter Geolocation and Tracking Using TDOA and FDOA Measurements , 2010, IEEE Transactions on Signal Processing.

[22]  Symeon Chatzinotas,et al.  Frequency of arrival-based interference localization using a single satellite , 2016, 2016 8th Advanced Satellite Multimedia Systems Conference and the 14th Signal Processing for Space Communications Workshop (ASMS/SPSC).

[23]  Matthew Trinkle,et al.  A Modelled Eigenstructure Based Antenna Array Calibration Algorithm for GPS , 2010 .

[24]  K. C. Ho,et al.  An accurate algebraic solution for moving source location using TDOA and FDOA measurements , 2004, IEEE Transactions on Signal Processing.

[25]  Seymour Stein Differential delay/Doppler ML estimation with unknown signals , 1993, IEEE Trans. Signal Process..

[26]  C.L. Nikias,et al.  Complex ambiguity function based on fourth-order statistics for joint estimation of frequency-delay and time-delay of arrival , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[27]  Heng-Ming Tai,et al.  Fast and accurate single frequency estimator , 2004 .

[28]  Y. Kalkan,et al.  Frequency‐based target localization methods for widely separated MIMO radar , 2014 .

[29]  Scott P. Belanger Multipath TDOA and FDOA estimation using the EM algorithm , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[30]  Steven Kay,et al.  A Fast and Accurate Single Frequency Estimator , 2022 .

[31]  Georgios B. Giannakis,et al.  Differential delay-doppler estimation using second and higher-order ambiguity functions , 1993 .

[32]  Jinyu Xiong,et al.  The observability analysis of aerial moving target location based on dual-satellite geolocation system , 2012, 2012 International Conference on Computer Science and Information Processing (CSIP).

[33]  Martin Coleman Technology & thinking to combat satellite interference! , 2015 .

[34]  W.W. Smith,et al.  A satellite interference location system using differential time and phase measurement techniques , 1991, IEEE Aerospace and Electronic Systems Magazine.

[35]  Andrew G. Dempster,et al.  Interference Localization for Satellite Navigation Systems , 2016, Proceedings of the IEEE.

[36]  D. C. Rife,et al.  Use of the discrete fourier transform in the measurement of frequencies and levels of tones , 1970, Bell Syst. Tech. J..

[37]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[38]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .