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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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 |
format | Article |
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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.</description><identifier>ISSN: 0033-8443</identifier><identifier>EISSN: 1573-9120</identifier><identifier>DOI: 10.1007/s11141-015-9616-z</identifier><identifier>CODEN: RPQEAC</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>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)</subject><ispartof>Radiophysics and quantum electronics, 2015-11, Vol.58 (6), p.418-427</ispartof><rights>Springer Science+Business Media New York 2015</rights><rights>COPYRIGHT 2015 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c410t-8aea87f8f68162d73228a98353b06257eee89e4bd53a1935bc7e64c61ef19c5f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11141-015-9616-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11141-015-9616-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Chernyatyev, Yu. N.</creatorcontrib><creatorcontrib>Donets, I. V.</creatorcontrib><creatorcontrib>Onishchenko, V. S.</creatorcontrib><creatorcontrib>Reizenkind, Y. A.</creatorcontrib><creatorcontrib>Shevchenko, V. N.</creatorcontrib><title>A Method for Synthesis of Frequency-Time Radio Images in Non-Radiating Radars</title><title>Radiophysics and quantum electronics</title><addtitle>Radiophys Quantum El</addtitle><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
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In combination with additional computational tricks, the proposed modification allows one to increase the computational efficiency of image formation by three orders of magnitude.</description><subject>Analysis</subject><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Frequency shift</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Lasers</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Physics</subject><subject>Methods</subject><subject>Minimization</subject><subject>Nuclear Physics</subject><subject>Observations and Techniques</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Optimization</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Optics</subject><subject>Radar</subject><subject>Radar systems</subject><subject>Radio</subject><subject>Theoretical</subject><subject>Vectors (mathematics)</subject><issn>0033-8443</issn><issn>1573-9120</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kU1rGzEQhkVpIG6SH5CboJdelGhWu1rt0ZgmDcQt5OMsZO3IlvFKqbQ-OL--WraHUgg6CGaeZxjmJeQa-A1w3t5mAKiBcWhYJ0Gy909kAU0rWAcV_0wWnAvBVF2Lc_Il5z3nxarVgqyXdI3jLvbUxUSfT2HcYfaZRkfvEv4-YrAn9uIHpE-m95E-DGaLmfpAf8bAppoZfdhOXZPyJTlz5pDx6u9_QV7vvr-sfrDHX_cPq-UjszXwkSmDRrVOOalAVn0rqkqZTolGbLismhYRVYf1pm-EgU40G9uirK0EdNDZxokL8m2e-5Zi2TGPevDZ4uFgAsZj1tAqCUqUwxT063_oPh5TKNsVqqmEmq5UqJuZ2poDah9cHJOx5fU4eBsDOl_qy1rIbho7CTALNsWcEzr9lvxg0kkD11Miek5El0T0lIh-L041O7mwYYvpn1U-lP4AISGMGg</recordid><startdate>20151101</startdate><enddate>20151101</enddate><creator>Chernyatyev, Yu. 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1
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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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