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

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 evalu...

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Veröffentlicht in:Radiophysics and quantum electronics 2015-11, Vol.58 (6), p.418-427
Hauptverfasser: Chernyatyev, Yu. N., Donets, I. V., Onishchenko, V. S., Reizenkind, Y. A., Shevchenko, V. N.
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container_end_page 427
container_issue 6
container_start_page 418
container_title Radiophysics and quantum electronics
container_volume 58
creator Chernyatyev, Yu. N.
Donets, I. V.
Onishchenko, V. S.
Reizenkind, Y. A.
Shevchenko, V. N.
description 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.
doi_str_mv 10.1007/s11141-015-9616-z
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source SpringerNature Journals
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)
title A Method for Synthesis of Frequency-Time Radio Images in Non-Radiating Radars
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