{"references": ["Hagit Messer and Yesheskel Bar-Ness, Snior Member, \"Time Delay\nEstimation\", IEEE Transaction on Acoustic, And Speech, Processing, Vol,\nAssp_ 35, NO.4, April 1987.", "Amer R. Zerek, Mahmud H. Alwaik, A. M. Edwila and A.A. Safar,\" Time\ndelay estimation algorithm of closed loop system using Mathcad package\",\nSecond International Conference on Information and Computing\nScience,Vo1, 22-5-2009.", "J. Gamba , \" Self- tuned LMS Algorithm for Sinusoidal Time Delay\nTracking\",International Journal of Signal Processing vol. 4, no. 1, pp.\n1304-4478, 2007.", "S. Haykin, Adaptive Filter Theory, Prentice-Hall, Englewood Cliffs,\nNJ,2002.", "M. Turki-Hadj Alouane, M. Jaidane-Saidane, \"A new nonstationary LMS\nalgorithm for tracking Markovian time varying systems\", Signal Processing\n86 (2006) 50-70.", "Donka Angelova , Lyudmila Mihaylova, \"Joint target tracking and\nclassification with particle filtering and mixture Kalman filtering using\nkinematic radar information\", Digital signal processing 16 (2006) 180-\n204.", "Chengjie Cai,Weixian Liu, Jeffrey Shiang Fu, Yilong Lu, \" A new\napproach for ground moving target indication in foliage environment\"\nSignal Processing 86 (2006) 84-97.", "Tat Chee Avenue, Kowloon,\" A Fast Algorithm for Nonstationary Delay\nEstimation\" June 19, 1998.", "Segio Sabatini , Marco Tarantino \" Multifunction Array Radar System\nDesign and Analysis\".\n[10] August W. Rihaczek, \"Principles of High-Resolution Radar\".\n[11] Yihua Yu , Qiansheng Cheng, \"Particle filters for maneuvering target\ntracking problem\", Digital signal processing 86 (2006) 195-203.\n[12] C. Hue, J.L Carde, p perez, \"Sequential Monte Carlo Methods for multiple\ntarget tracking and data fusion\", IEEE Trans. Signal Process. 50 (2)\n(February 2002).\n[13] Emmanuel C. Ifeachor and Barrie W. Jevies, \"Digital Signal\nProcessing\" ADDISON- WESLEY 1993K.\n[14] N.R Yousef, A.H. Sayed, \"Ability of adaptive filters to track carrier offsets\nan channel non stationarities\", IEEE Tran. Signal Process. 50 (7) (July\n2002) 1438-1544.\n[15] M. W Long, \"Radar Reflectivity of Land and sea\", 3rd ed. (Artech House,\n2001).\n[16] S. Challa, G. pulford, \"Joint target tracking and classification using radar\nand ESM sensors\", IEEE Trans. Aerospace Electron. Syst 37 (3) (2001)\n1039-1055.\n[17] Y. Boers, J. Driessen, \"Interacting multiple model practicle filter\", IEEE\nProc. Radar Sonar Navig.149 (5) (2003) 344-349.\n[18] S. challa, N. Bergman, \"Target tracking incorporating flight envelope\ninformation\", in Proc. Of the Third Int. Conf. on Information Fusion, Paris,\nFrance (July 2000)."]}

This paper deals with tracking and estimating time delay between two signals. The simulation of this algorithm accomplished by using Mathcad package is carried out. The algorithm we will present adaptively controls and tracking the delay, so as to minimize the mean square of this error. Thus the algorithm in this case has task not only of seeking the minimum point of error but also of tracking the change of position, leading to a significant improving of performance. The flowchart of the algorithm is presented as well as several tests of different cases are carried out.