Abstract—The problem of localization in sensor networks, based on both the time delays in signal reception and signal attenuation is considered in this paper. This approach would enhance the localization performance compared to when only phase shifts resulted by time delays or only attenuation information are used. Considering an attenuation model for the signal and taking into account the signal reception delays, a cost function minimization problem is formed. Due to the convergence speed, stability and the advantage of using trust region methods, a Levenberg-Marquardt algorithm is used to find the location of signal sources. Implementation details of the algorithm such as closed form equations to calculate the Jacobian at every iteration are also provided in this paper. At the end, some simulation results would demonstrate the validity of our proposed method

Index Terms—Levenberg marquardt algorithm, localization, wireless sensors

H. Aghasi was with Sharif University of Technology, Tehran, Iran. He is now with ECE department of Cornell University, Ithaca, NY, USA. (e-mail:ha275@cornell.edu)
M. Hashemi., was with Sharif University of Technology, Tehran, Iran. He is now with ECE department of Boston University, Boston, MA 02215USA (e-mail: mhashemi@bu.edu).
B. Hossein Khalaj is with the Electrical Engineering Department, Sharif University of Technology, Tehran, Iran (e-mail: khalaj@sharif.edu).

Cite:H. Aghasi, M. Hashemi, and B. Hossein Khalaj, "A Source Localization Based on Signal Attenuation and Time Delay Estimation in Sensor Networks," International Journal of Computer and Electrical Engineering vol. 4, no. 3, pp. 423-427, 2012.