A Method for Synthesis of Frequency-Time Radio Images in Non-Radiating Radars

• Published in: Radiophysics and quantum electronics 2015-11, Vol.58 (6), p.418-427
• Main Authors: Chernyatyev, Yu. N., Donets, I. V., Onishchenko, V. S., Reizenkind, Y. A., Shevchenko, V. N.
• Format: Article
• Language: English
• Subjects: Analysis; Astronomy; Astrophysics and Astroparticles; Frequency shift; Hadrons; Heavy Ions; Lasers; Mathematical analysis; Mathematical and Computational Physics; Methods; Minimization; Nuclear Physics; Observations and Techniques; Optical Devices; Optics; Optimization; Photonics; Physics; Physics and Astronomy; Quantum Optics; Radar; Radar systems; Radio; Theoretical; Vectors (mathematics)
• ISSN: 0033-8443; 1573-9120
• DOI: 10.1007/s11141-015-9616-z

We propose a modification of the known method used to synthesize frequency time radio images in non-radiating radars and based on minimization of the r.m.s. deviation of the observation data vector from its linear model with an additional limitation imposed on the L 1 norm of the vector of the evaluated amplitudes of two-dimensional signal distribution in the range of delays and Doppler frequencies. The essence of the modification is that instead of solving the problem of conditional minimization at a full array in the “time delay—Doppler frequency shift” coordinates, this problem is solved sequentially for the zeroth and a preset frequency shift. In combination with additional computational tricks, the proposed modification allows one to increase the computational efficiency of image formation by three orders of magnitude.