Research on Millimeter Wave Fuze Echo Signal-to-Noise Ratio under. Projectile Motion

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1 3rd Iteratioal Coferece o Material, Mechaical ad Maufacturig Egieerig (IC3ME 15) Research o Millieter Wave Fue Echo Sigal-to-Noise Ratio uder Projectile Motio Jie Zhou 1,a*,Shuo Wu,b,Haibi Wu 3,c 1,,3 Ar fficer Acade,Hefei,Ahui,331,Chia a @.co, b @.co, c @.co Kewords:illieter wave fue; SNR; rojectile otio odel; target scatterig characteristics Abstract: I order to calculate the illieter wave roiit fue echo sigal to oise ratio accuratel,aales the factors that ifluece the otio of the rojectile fue echo sigal to oise ratio of fue ad target distace, fuse ad target graig agle ad target to the scatterig characteristics ad other factors with the rojectile otio of fue echo sigal to oise ratio ifluece. Fiall, ake the siulatio aalsis. The siulatio results show that the rojectile otio of fue echo sigal-to-oise ratio ifluece ust be cosidered i desig of fue otial sigal rocessor. Itroductio Active illieter wave fue usig radar sste,through the trasittig atea sed active illieter wave sigal to the target, receivig atea receive target s echo sigal, which is rocessed b the sigal rocessor ad geerate fue iitiatio istructios. Thus, echo sigal ualit directl ifluece fue detoatig erforace i aalsis ad evaluatio of fue echo sigal ualit ad sigal to oise ratio is a ke ide. Relevat data show that [1], the echo sigal to oise ratio ail deeds o the distace of fue ad target, the fue lauch sigal ad target of the graig agle ad target to scatterig characteristics ad other factors. Projectile toward its target, these factors chage i tie, whe the stud of fue echo sigal to oise ratio, we ust stud of rojectile otio whe the factors of fue echo sigal to oise. Fue echo SNR aalsis with rojectile otio The fue atea cofiguratio ad bea oitig I order to icrease the fue target detectio distace, usuall the fue atea cofiguratio o the head of the bod, eissio atea bea ceter ad rojectile ais cosistet, secific cofiguratio effects such as show i Fig 1, which, is fue atea bea ceter ad groud graig agle, is fue bea width, θ is fue icidet agles. θ Fig.1. Scheatic diagra of the fue atea cofiguratio ad bea oitig 15. The authors - Published b Atlatis Press 1494

2 Aale fue graig agle with the oveet of rojectile I order to facilitate the research, the rules i Fig (a), to the ajor ais of the ellise coectio with shaft vertical rojectio of degrees,fue with the rojectile otio rocess, fue atea bea rojectio chage. Ais of rojectile agle with the groud, due to atea bea ceter ad the bod ais coicidece, therefore, fue atea bea ceter ad groud graig agle for. (a)rojectio degrees (b)rojectio 9 degrees (c)arbitrar agle rojectio Fig.. Scheatic diagra of the fue bea rojectio The fue atea bea ad groud rojectio ca be divided ito the followig three coditios: 1The rojectio of degrees,coosed of fue atea bea lae ad ais agle is,as show i Fig (a). The rojectio of 9 degrees, +,,the aiu graig agle is +, as show i Fig (b). 3Arbitrar rojectio agle, the oit to o lae rojectio, rojectio oit,the largest graig agle is,as show i Fig (c). Backscatterig coefficiet with graig agle variatio aalsis of Fue This art of scholars hoe ad abroad to establish a target odel of backscatterig characteristics. I cotrast, the calculatio Ulab odel has higher recisio tha the Kulei odel. (1)Ulab terrai scatterig coefficiets odel F.T.Ulab ad M.C.Dobso aaled a lot of groud about the scatterig test data,ut forward the average backward scatterig coefficiet of eirical odel [5] : P1 P P3θ P4 P5θ P6 + e( ) + cos( + ) (1) I the forula,θ is the fue icidet agle (rad), P1 ~ P 6 are araeters, ca be obtaied b fittig the eerietal data. ()Kulei terrai scatterig coefficiets odel The roosed Kulei odel is suitable for freuec i the rage of 3~1GH, the eirical odel is as follows [5] : A + A log( ψ /) + A log( f /1) ()

3 I the forula, f is fue freuec(gh), ψ is graig agle(degree), A1 ~ A 3 are araeters,with differet goals ad differet groud, i which the coefficiet of ceet floor, height less tha.5 grasslad as show i table 1. Table 1 odel araeters Kulei eeriece Target te A 1 A A 3 Ceet floor The grass height is less tha Echo SNR calculatio The fue use ulse Doler radar sste, the ulse radar euatio is the followig for [] : (3) ( S / N) P G λ D av PD 3 4 ( 4π ) Pi,iR L (4) Accordig to the target RCS aalsis: R r da si θ s Cobied forula (4) ad (5): PG D r ( S / N) λ (4 π) si (6) av PD s 3 3 Pi,iRL θ I forula, P av is the average sedig ower of fue, G is fue atea gai, λ is fue wavelegth,r is distace to target, is the radar scatterig coefficiet, is fue bea width, r s is the fue of the radial distace resolutio,θ is fue icidet agles, euiet allowace. (5) L is su of Fue loss ad D PD s T TT g (7) Aog the, T g is the distace gate, T s is effective ulse width for the echo. The sesitivit of the receiver Pi,i KTBNF, K is Pohl Seida costat, T is the sste teerature, B N is the euivalet oise badwidth, F is oise coefficiet. 1496

4 Siulatio aalsis Projectile otio siulatio The siulatio araeter settigs: rojectile velocit 95/s, eissio agle of 15 degrees, the iitial distace of i X ais ad the iitial distace of i Y ais.the agle betwee the ais of rojectile fue ad the groud, the fue ad the groud radial distace is siulated,the siulatio results are show i Fig 3. (a)the descedig ais of rojectile ad the groud agle (b)the fue ad radial distace fro the groud Fig.3. the rojectile otio siulatio a Graig agle siulatio of Fue The siulatio araeter settigs: fue bea width o,fue siulatio with the graig agle of rojectile otio are show i Fig 4. Fig 4 graig agle fue siulatio a Fue echo SNR siulatio Set the ai siulatio araeters: Pav 5W,G 14dB,λ 5,, r s 3, L 8dB,T 3K,K J/K,F6dB, N i Fig 5. B 5MH Siulatio results is show 1497

5 (a)the ceet groud Ulab odel siulatio a (b)the grass Kulei odel siulatio a Fig.5. siulatio of fue echo sigal-to-oise Coclusio The eissio of the distace for the fue ad target, the fue target sigal ad the graig agle ad the target to the scatterig characteristics ad other factors of fue echo sigal to oise ratio were theoretical research, ad a siulatio aalsis was carried out. Siulatio results show that i the stud of fue echo sigal to oise ratio, ot ol to cosider the ifluece of the above factors, but also cosider the iact of differet features of fue echo sigal to oise ratio. Refereces [1] Zhao Huichag. Radio fue desig ricile ad ethod [M]. Beijig: Natioal Defese Idustr Press, 1.3 [] Cui Zhahog, Sog Shihe, Xu Lii. The ricile of roiit fue (Third Editio( [M]. Beijig: Beijig Istitute of Techolog ress, 9.8 [3] Sog Piji. The eterior ballistics of gus ad rockets [M]. Beijig: Weao Idustr Press, [4] Liu Yii, Liu Yuwe. The eterior ballistics [M]. Beijig: tide ress, [5] Zhou Weii. Millieter wave radar clutter characteristics aalsis ad research of [D]. Najig Uiversit of Sciece ad Techolog aster thesis,

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