Determination of Electromagnetic Emitter Position from Passive Radar Bearings as Linear Least Squares Problem

• Authors: A. Kawalec , M. Kojdecki , B. Wajszczyk
• Languages of publication: EN

Abstracts

EN

Mathematical formulation of an inverse problem of radiolocation is discussed. Determination of electromagnetic emitter position from passive radar bearings is transformed into a linear least squares problem and equivalent system of normal equations. Eventually spatial localisation of emitter is reduced to solving system of linear algebraic equations with entries of coefficient matrix and free term depending on bearings in a nonlinear way. Regularisation algorithm is proposed.

Keywords

EN

41.20.Jb; 03.50.De

Discipline

• 41.20.Jb: Electromagnetic wave propagation; radiowave propagation(for light propagation, see 42.25.Bs; for electromagnetic waves in plasma, see 52.35.Hr; for atmospheric, ionospheric, and magnetospheric propagation, see 92.60.Ta, 94.20.Bb, and 94.30.Tz, respectively; see also 94.05.Pt Wave/wave, wave/particle interactions, in space plasma physics)
• 03.50.De: Classical electromagnetism, Maxwell equations(for applied classical electromagnetism, see 41.20.-q)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 6
• Pages: 1171-1173

Dates

published

2010-12

Contributors

author

A. Kawalec

• Institute of Radio-Electronics, Military University of Technology, Warsaw, Poland

author

M. Kojdecki

• Institute of Mathematics and Cryptology, Military University of Technology, Warsaw, Poland

author

B. Wajszczyk

• Institute of Mathematics and Cryptology, Military University of Technology, Warsaw, Poland

References

• 1. B. Wajszczyk, Ph.D. Thesis, Military University of Technology, Warsaw 2005
• 2. A. Kawalec, M.A. Kojdecki, B. Wajszczyk, in: Proc. 16th Int. Conf. on Microwaves, Radar and Wireless Communications, Kraków (Poland), 2006, p. 1176
• 3. B. Pustelny, T. Pustelny, Acta Phys. Pol. A 116, 383 (2009)
• 4. A. Kawalec, M.A. Kojdecki, B. Wajszczyk, in: Proc. 9th Int. Radar Symp. IRS 2008, Wrocław (Poland), 2008, p. 357
• 5. A. Björck, Numerical Methods for Least Squares Problems, SIAM, Philadelphia 1996
• 6. T. Pustelny, A. Opilski, B. Pustelny, Acta Phys. Pol. A 114, A-181 (2009)
• 7. A.N. Tikhonov, A.V. Goncharsky, V.V. Stepanov, A.G. Yagola, Numerical Methods for the Solution of Ill-Posed Problems, Kluwer Academic, Dordrecht 1995

Identifiers

DOI

10.12693/APhysPolA.118.1171