Performance of TOA and FOA-based localization for Cospas-Sarsat search and rescue signals

This work studies the performance of position estimation for distress beacons using time of arrival and frequency of arrival measurements. The analysis is conducted for emergency signals modeled as pulses with sigmoidal transitions. This model has shown interesting properties for Cospas-Sarsat search and rescue signals. The modified Cramér-Rao bounds of the symbol width, time of arrival, frequency of arrival, and position of this model are presented. Simulations conducted with realistic signals indicate good agreement between these bounds and the mean square errors of the estimated parameters.

[1]  Robert Boorstyn,et al.  Single tone parameter estimation from discrete-time observations , 1974, IEEE Trans. Inf. Theory.

[2]  Philippe Loubaton,et al.  Blind equalization - case of an unknown symbol period , 2003, IEEE Trans. Signal Process..

[3]  Jean-Yves Tourneret,et al.  Modified cramer-rao lower bounds for TOA and symbol width estimation. An application to search and rescue signals , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  K.Venkatesh Prasad,et al.  Fundamentals of statistical signal processing: Estimation theory: by Steven M. KAY; Prentice Hall signal processing series; Prentice Hall; Englewood Cliffs, NJ, USA; 1993; xii + 595 pp.; $65; ISBN: 0-13-345711-7 , 1994 .

[5]  Umberto Mengali,et al.  The modified Cramer-Rao bound and its application to synchronization problems , 1994, IEEE Trans. Commun..

[6]  John G. Proakis,et al.  Digital Communications , 1983 .

[7]  Michael J. Rycroft,et al.  Understanding GPS. Principles and Applications , 1997 .

[8]  Pau Closas,et al.  Ieee Transactions on Signal Processing Cramér-rao Bound Analysis of Positioning Approaches in Gnss Receivers , 2022 .

[9]  Kun Wang,et al.  Research on FOA and TOA Estimation Algorithm of Galileo SAR Signal , 2010, 2010 2nd International Conference on Information Engineering and Computer Science.

[10]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

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