Analysis of A Measurement Model for Radar Electromagnetic Compatibility Li Yang
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1 06 ixth Iteratioal Coferece o Istruetatio & easureet Couter Couicatio ad Cotrol Aalysis of A easureet odel for Radar Electroagetic Coatibility i Yag Det. of Iforatio Ad Couicatio Egieerig Harbi Egieerig Uiversity Harbi Chia liy978@hotail.co Abstract-Aied at the electroagetic coatibility robles betwee sae frequecy radars o fleet battle shis the axiu radar rage is used to describe the EC degree betwee the sae frequecy or siilar frequecy radars i radar syste. The radar syste is divided ito Oai-directioal atea ad directioal atea radar to aalysis ad get the two radar electroagetic coatibility odels the the EC degree odel of etire radar syste. Quatitative aalysis of the siulatio is rereseted for the relatioshi betwee several iortat araeters ad EC degree. It is a iortat coleet of the radar deloyet otiizatio ethods which rovides a digital basis for aalyzig the radars axiu beefit whe coordiatig cobat. eywords-electroagetic coatibility ; shi-bore radar; otiizatio deloyet I. ITRODUCTIO Curretly i aval battlefield electroagetic eviroet becoes colex icreasigly electroic equiet coes uder various iterferece. Whe two or ore radars work i liited area at the sae tie they will iterfere with each other their erforace will deress. Therefore it is ecessary to look for a fast easureet of radar syste s electroagetic coatibility i the raidly chagig aval battlefield. I 97a ediu gai odel for rotatig radar ateas was established by.guccioe ad H.Ricker III []. This odel was icreased by usig the defiitio of the robability of Fag Xiao-xig Det. of Electroics ad Iforatio Jiagsu Uiversity of ciece ad Techology Zhejiag Chia fag_xiaoxig@6.co iterferece which is defied as the robability that the total IR is greater tha the detectio threshold [-3].Also a ethod to aalysis the iterferece betwee radars ad the coutatio of iterferece robability was roosed by HOU isheg []. However these two odels caot solve the roble of electroagetic coatibility easureet of radar syste. The easureet odel of stad-off jaer(oj) is aalyzed by Guiyua I which is a good referece for e [5].Obviously this odel is t the electroagetic coatibility(ec) odel of radar systetoo. I this aer a odel of radar syste EC is roosed for the hibore radar syste. ectio II resets the basic theory of this ethod ad the odel of Oi-directioal atea radars. The it gives the ethod of EC odel betwee differet categories radars radars. At last it itegrates the odels above ito the EC degree odel of etire radar syste. The ectio III illustrates ad validates the calculatios based o this odel. II. EC easureet odel of Radar yste Accordig to the tye of radar atea shiboard radars ca be divided ito two categories: directioal atea radar ad oi-directioal atea radar. The odel betwee oi-directioal atea radars ca be established first because of their sile bea. A. odel betwee Oi-directioal Atea /6 $ IEEE DOI 0.09/ICCC
2 Radars Whe there is o iterferece the radar axiu rage ca be writte as [6] : R G () ax ( ) 3 ( ) i where is the radar eak ower G radar atea gai radar wavelegh target cross sectio radar iiu detectio i sigal ower radar ower losses. Co-chael iterferece is uosed betwee uit full workig siultaeously oi-directioal atea radars. o we ca see the iterferece sigal ower received by radar ca be writte as ca be exressed as: r i i G i G (... i ) Rii ( ) ( )... () where i is eighborig radar i eak ower; Gi eighborig radar i atea gai G radar receivig atea gai radar i iterferece sigal olarizatio loss for radar Ri radar i to radar rage; i ower loss fro radar i to radar k. Ad the echo sigal ower received by radar ca be writte as: G (3) rs 3 ( ) R where R is radar to target rage. Uder iterferece i order to detect target it is ecessary for radar to achieve G i ig r i i ( ) Rii () rs G 3 ( ) R where is radar suressig coefficiet. If ( )i the axiu rage of radar is uaffected. If ( )i the axiu rage ca be give as: R G 3 ( ) ax ( ) G i ig i i ( ) Rii (5) The atteuatio coefficiet of radar axiu rage of radar ca be deduced as the ratio of R ax ad R ax which ca be as the degree of radar EC. i i i G i ig ( ) Rii ( ) i ( ) i (6) The the degree of the uit oi-directioal atea radar syste EC ca be described as: (7) where is the iortat factor of radar fro the requireets of fleet whe cobatig. B. odel betwee Oi-directioal Atea ad Directioal Atea Radars Whe a radar is aliged by a directioal atea radar its receiver frot-ed overload occurs. The degree of EC is cosidered to be 0. Take directioal atea radar ad oi-directioal atea radar for a exale ad iterferece situatio of radar to radar is firstly cosidered. A shere ca be draw with the globe radar ad the radius of the rage betwee radar ad.obviously Radar is o this shere. ca area of radar ca be described with horizotal scaig agle tiltig scaig agle horizotal bea width ad elevatio bea width.with the sae way the liit area of radar aliged radar is rereseted as show i Figure. 990
3 W:liit area aliged Radar U:ca Area of Radar V:All Area aliged Fig..Aliget rage Rederig The black dot i Fig. is the ositio of the radar ad W the sallest circle is liit bea aliget area at oe tie. Traslatig W alog black sots the full rage V is obtaied; U is the directioal atea radar swee rage. The aliget robability ca be defied as: U V (8) U where U R ( ) ( ) ; V R si si R for ad is very sall.if U ad V the ca also be rereseted as: U V U V U V U U as (9) U U U V V V The we ca get thatthe size of has othig to do with the distace betwee the radars. We assue that oi-directioal atea radar ca be iterfered by directioal atea radars. The aliget robability of directioal atea radar i to oi-directioal atea radar : U V i i (0) U The o-aliget robability of radar ca be got as: () i i othe EC degree of oi-directioal atea radar iterfered by directioal atea radars ca be rereseted as: ( )i () i G i ig ( ) i i ( ) Rii I tur the aliget robability of a oi-directioal atea radar to directioal atea radar is the sae as. C. odel of Directioal Atea Radars Whe the two directioal atea radar ai lobe bea ca be aliged with each other We eed to avoid aliget fro other radar ad aligig other radar. ca area of directioal atea radar ca be described with horizotal scaig agle tiltig scaig agle horizotal bea width ad elevatio bea width.also directioal atea radar is ad.the aliget robability of radarto radar ca be rereseted as [] : h (3) Where horizotal aziuth aliget robability: () h itch aziuth aliget robability: (5) o the directioal atea radar ad directioal atea radars assued to alig with each other. The o-aliget robability of radar ad other directioal atea radars is writte as: ( ) (6) j j where j the aliget robability radar j to radar ; j the aliget robability radar to radar j; j the aliget robability whe radar ad j alig with each. The EC degree of directioal atea radars ca be rereseted as: j j 99
4 T i i G i ig ( ) Rii D. odel of Radar syste ( ) i ( ) i (7) EC odel of radar systes ca be established with alicatio of sectio A-C. oi-directioal atea radars directioal atea radars i which directioal atea radars ca alig with each are suosed to work i a siilar frequecy. The the total EC degree of this syste ca be give as: k k k (8) where is the iortat factor of oi-directioal atea radar k the iortat factor of directioal atea radar k ad. III. Aalysis of EC easureet odel I order to aalyze the relatioshi betwee the degree of EC ad the several iortat araeters i this odel which is give i Table easilyall radars are laced o the sae horizotal lae. Table ai techical araeters of the radar G db f first olariz i Radar ai W Hz sidelobe ode atio (db) lobe (dbw) ( ) ( ) ( ) ( ) Radar A H Radar B H Radar C H Radar D H coariso of curves i Fig. betwee oi-directioal atea radar B ad A is A. Relatioshi Betwee EC Degree ad Radar Distaces R The relatioshi betwee the degree of EC ad distaces betwee radars i Table ca be described as Figure. u Radar B to A 0. Radar D to A Radar C to A 0. Radar A to D Radar C to D R/ Fig.. Relatioshi betwee EC ad radar distace Obviously the greater the distace is the better the degree of EC.Also fro the uch ore oor tha betwee other radars. of radar C to A is a little better tha radar D to A because Radar A is etirely i the scaig rage of radar D but out of the scaig rage of radar C. B. Relatioshi betwee total EC degree of radar syste ad radar iiu detectio sigal ower i The iortace coefficiets of radar A C D of are suosed to be ad 0.5.Whe radar iiu detectio sigal ower i of radar A C ad D is take as a ukow quatity resectivelythe other araeters are used i Table. 99
5 Φ i of radar D i of radar C i of radar A i/db Fig.3.Relatioshi betwee radar sesitivity ad total EC Fig.3 describes the relatioshi betwee radar sesitivity ad total EC.As ca be see fro it the iiu detectable sigal saller is the higher the sesitivity ad the saller EC degree of the etire radar syste. C. Relatioshi betwee total EC degree of radar syste ad radar suressio coefficiet The iortace coefficiets of radar A C ad D are suosed to be ad 0.5.Also the araeters are used i Table while radar suressio coefficiet of radar A C ad D is take as a ukow quatity resectively. The Fig. is got to describe the relatioshi betwee radar suressio coefficiet ad total EC. Φ 5 3 of radar D of radar C of radar A the iiu iact of followed by radar C radar D axiu. IV. COCUIO This aer use the loss of radar axiu rage size to aalyze the EC degree of radar syste with the sae or siilar frequecy. Quatitative aalysis of the siulatio is rereseted for the relatioshi betwee several iortat araeters ad EC degree. It is a iortat coleet of the radar deloyet otiizatio ethods by usig this odel with article swar otiizatio. REFERECE [].Guccioe ad H.Ricker IIIA edia odel for Rotatig Radar Ateas ECAC-T-7-07 DoD ECAC Aaolis D Feb.97. [] Terry. Forea Atea coulig odel for radar electroagetic coatibility aalysisieee Trasactio o EC vol ja.989. [3]. ewhouse Radar EC Aalysis Hadbook ECAC-HDB--066 DoD ECAC Aaolis D et. 98. [] HOU ishegthe aalysis of iterferece betwee radars ad the coutatio of iterferece robability Radar ad Coutereasure.6-8 ajigchia. Feb [5] Guiyua IHou ZHAGXiog YIHaili TIAtudy o easureet odel for Radar Electroagetic Coatibility AalysisICT 00 roceedigs ay 00. [6] Basse R. ahafzaatef Z. Elsherbei.ATAB iulatios for Radar ystes Desig[].Chaa&Hall/CRC Fig..Relatioshi betwee radar suressio coefficiet ad total EC As ca be see fro the fig. the greater the radar suressio coefficiet is the greater EC degree of the etire radar syste. Ad suressio coefficiet of radar A icrease i 993
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