Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Chapter 3 / Sensors / Radar _ _ ~ P ~ P o, t o, m : = : = P P o, t o, m 3.8-6 ⎛ + N ⎜ ⎝ ⎛ + N ⎜ ⎝ 0 , 0 , c ⋅ 8 ⋅ c ⋅ 8 ⋅ RD RD t RD RD CP SN t CP SN T M ⎞ ⎟ ⎠ ⎞ ⎟ ⎠ Equation 3.8-13 Equation 3.8-14 The compressed pulse width (RDtCP) is a range dependent function modelled as a linear function in which the slope is determined by the maximum range (RDRMAX) commensurate with the detector output interface, 3.8.5.2 Range Rate RD t CP : = ⎛ ⎛ ⎜ 10 + 30 ⋅ ⎜ ⎝ ⎝ RG P o, t R MAX ⎞ ⎞ ⎟ ⎟ ⎟ ⋅10 ⎠ ⎠ −6 Equation 3.8-15 Range-rate measurements are corrupted by zero-mean Gaussian noise that is a function of the transmission frequency (λT) and the Signal-to-Noise Ratio (SNR) (RDSN). ~ P& ~ P& XT t XM m : = : = P& P& XT t XM m ⎛ + N ⎜ ⎝ ⎛ + N ⎜ ⎝ 0 , 0 , RD RD t t O O ⋅ ⋅ RD λ 8 ⋅ RD T λ 8 ⋅ RD T RD SN SN T M ⎞ ⎟ ⎠ Equation 3.8-16 ⎞ ⎟ ⎠ Equation 3.8-17 The radar illuminates a target long enough to coherently process a number of pulse returns which reduces eclipsing losses and measurement noise associated with a single pulse. This is the observation, or dwell time (RDtO), which is a function of the measured target range and squint angle, RD t O : = 0. 002 + 2 x10 −6 ⋅ Pˆ o, t + −6 ( + ⋅ P ) ˆ 0. 002 5 x10 o, t ξˆ T ⋅ π TD Equation 3.8-18
Chapter 3 / Sensors / Radar _ _ 3.8.5.3 Bearing and Elevation The target and missile angles with respect to the Alignment frame are the sum of the detector orientation and the position of the target with respect to the detector boresight, ~ T ~ T ~ M ~ M ( Ψ , Θ , Ψ , Θ ) ~ TD ~ T ~ TD ~ T ~ TD ~ M ~ TD ~ M ( Ψ + Ψ , Θ + Θ , Ψ + Ψ , Θ + Θ ) A TD A A A TD 3.8-7 A A A TD : = A TD Equation 3.8-19 The beam shape is circular and defined by its half power points (RDξBW) at ±2° about the beam centre. ⎛ ⎜ ⎜ ⎜ ⎝ ⎛ ⎜ ⎜ ⎜ ⎝ ~ Ψ T TD L ~ M Ψ ~ Θ TD T TD L ~ M Θ TD ⎞ ⎟ ⎟ ⎟ ⎠ ⎞ ⎟ ⎟ ⎟ ⎠ : = : = ⎛ ⎜ ~ Ψ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ ⎛ ⎜ ~ Θ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ T TD T TD ⎛ + N ⎜ 0 , ⎜ ⎝ RD ξBW 2 ⋅ RDSNT ⎞ ⎟ ⎠ + RDΨ ~ M ΨTD ⎛ + N ⎜ 0 , ⎜ ⎝ L RD ξBW 2 ⋅ RDSN M ⎞ ⎟ ⎠ + ⎛ + N ⎜ 0 , ⎜ ⎝ RDξ BW 2 ⋅ RDSNT ⎞ ⎟ + Θ ⎟ RD ⎠ L ~ ⎛ M Θ + ⎜ TD N 0 , ⎜ ⎝ RDξ BW 2 ⋅ RDSNM ⎞ ⎟ ⎠ + CN RD CN RD + Ψ + Θ CN CN RD RD Ψ + RNT RD Ψ + RD RNM Ψ G ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ Equation 3.8-20 Θ + RNT RD Θ + RD RNM Θ G ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ Equation 3.8-21 The angular errors comprise: • Zero-mean Gaussian noise dependent on beam-width (RDξBW) and the SNRs (RDSNT,RDSNM) for the target and the missile. • Correlated, zero-mean Gaussian noise (ΨCN,ΘCN) with a deviation of 3 mrad, representing planar array vibration common to both target and missile measurements. • Un-correlated, zero-mean Gaussian noise (ΨRNT,ΘRNM) with a deviation of 3 mrad that is different for the target and missile measurements representing processing and electronic effects. • Glint errors (RDΨG,RDΘG) defined in §3.8.7 that effect only the target measurements as it is assumed that the missile is fitted with a transponder.
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CRANFIELD UNIVERSITY LEIGH MOODY SE
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ABSTRACT When considering advances
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Contents _ _ LIST OF CONTENTS 1 INT
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Contents _ _ 8.2 The Scope of Moder
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Contents _ _ 17.4 Inertial Velocity
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Tables _ _ LIST OF TABLES Table 1-1
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Figures _ _ LIST OF FIGURES Figure
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Figures _ _ Figure 5-1 : Centralise
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Figures _ _ Figure 19-3 : Air Densi
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Acronyms _ _ Acronyms And Abbreviat
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Acronyms _ _ HDOP - NAVSTAR GPS Hor
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Acronyms _ _ RCS - Radar Cross Sect
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Glossary _ _ GLOSSARY A challenge w
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Glossary _ _ 0.1 Predicate Calculus
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Glossary _ _ ]A,B] Real number rang
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Glossary _ _ 0.9 Matrix Operators [
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Glossary _ _ 0.14.2 Special Vectors
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Glossary _ _ P C a , b ≡ XC YC ZC
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Glossary _ _ V ≡ V : = V • V Th
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Glossary _ _ 0.16.4 Matrix Partitio
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Glossary _ _ Only the subset of qua
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Glossary _ _ 0.19 Systeme Internati
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1 Chapter 1 / Introduction _ _ Chap
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Chapter 1 / Introduction _ _ Wherea
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Chapter 1 / Introduction _ _ • Cr
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Chapter 1 / Introduction _ _ genera
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Chapter 1 / Introduction _ _ radar
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Chapter 1 / Introduction _ _ simple
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Chapter 1 / Introduction _ _ optimi
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Chapter 1 / Introduction _ _ 1.3.9
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2 Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ 2.
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Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ t
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Chapter 2 / Target Modelling _ _ P&
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Chapter 2 / Target Modelling _ _ GO
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Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ VX
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Chapter 2 / Target Modelling _ _ ma
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3 Chapter 3 / Sensors _ _ Chapter 3
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Chapter 3 / Sensors _ _ 3.1 Simulat
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Chapter 3 / Sensors _ _ Table 3-4 :
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Chapter 3 / Sensors _ _ Reference D
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Chapter 3 / Sensors _ _ 3.2-9 s s i
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Chapter 3 / Sensors _ _ 3.2-11 t o
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Chapter 3 / Sensors _ _ Figure 3-5
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Chapter 3 / Sensors _ _ Table 3-7 :
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Chapter 3 / Sensors _ _ IF ϕ LIM
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Chapter 3 / Sensors _ _ The phase e
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Chapter 3 / Sensors _ _ Taking expe
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Chapter 3 / Sensors _ _ Expressing
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Chapter 3 / Sensors _ _ INPUT; AA,
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Chapter 3 / Sensors / NAVSTAR GPS _
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Chapter 3 / Sensors / NAVSTAR GPS _
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Chapter 3 / Sensors / Helmet Mounte
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Chapter 3 / Sensors / Helmet Mounte
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Chapter 3 / Sensors / Air Data Syst
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Chapter 4 / Target Tracking _ _ 3.1
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Chapter 4 / Target Tracking _ _ Ine
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Chapter 4 / Target Tracking _ _ ran
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Chapter 5 / Missile State Observer
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5 Chapter 5 / Missile State Observe
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6 Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ 6.
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Chapter 6 / Missile Guidance _ _ As
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Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ CD
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Chapter 6 / Missile Guidance _ _ ge
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Chapter 6 / Missile Guidance _ _ ex
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Chapter 6 / Missile Guidance _ _ &
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Chapter 6 / Missile Guidance _ _ PN
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Chapter 6 / Missile Guidance _ _ of
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Chapter 6 / Missile Guidance _ _ NO
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Chapter 6 / Missile Guidance _ _ tr
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Chapter 6 / Missile Guidance _ _ η
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Chapter 6 / Missile Guidance _ _ Au
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Chapter 6 / Missile Guidance _ _ Fo
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Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ ar
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7 Chapter 7 / Missile Trajectory Op
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Chapter 7 / Missile Trajectory Opti
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8 Chapter 8 / Simulation _ _ Chapte
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Chapter 8 / Simulation _ _ 8.1 The
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Chapter 8 / Simulation _ _ 8.3 The
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Chapter 8 / Simulation _ _ Having p
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Chapter 8 / Simulation _ _ 8.5.1 Gl
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Chapter 8 / Simulation _ _ (1) CONS
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Chapter 8 / Simulation _ _ 8.6.2 Ou
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Chapter 8 / Simulation _ _ The file
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Chapter 8 / Simulation _ _ • The
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Chapter 8 / Simulation _ _ comprehe
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Chapter 8 / Simulation _ _ WIN_RATE
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Chapter 8 / Simulation _ _ for this
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Chapter 8 / Simulation _ _ with the
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Chapter 8 / Simulation _ _ Figure 8
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Chapter 8 / Simulation _ _ Table 8-
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Chapter 8 / Simulation _ _ 8.8 Disc
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9 Chapter 9 / Performance _ _ Chapt
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Chapter 9 / Performance _ _ 9.1 Air
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Chapter 9 / Performance _ _ XM ( >
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Chapter 9 / Performance _ _ 9.3 PN
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Chapter 9 / Performance _ _ The eff
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Chapter 9 / Performance _ _ VXMVOM
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Chapter 9 / Performance _ _ VXMVOM
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Chapter 9 / Performance _ _ 9.4 CLO
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Chapter 9 / Performance _ _ AR_BOM
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Chapter 9 / Performance Chapter 9 /
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Initially the position error falls
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values of CN are not always a relia
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crude initialisation introduces err
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9.5.3 Singer Filter Tuning The Sing
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9.6.2 CLOS Study The CLOS study sho
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Chapter 10 / Conclusions _ _ 10-2
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Chapter 10 / Conclusions _ _ 10.3 T
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Chapter 10 / Conclusions _ _ 10.7 M
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Chapter 11 / Future Research _ _ 11
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Chapter 11 / Future Research _ _
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Chapter 11 / Future Research _ _ To
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References _ _ B.4 BAZARAA M.S., SH
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References _ _ F.1 FOX J.E., “A C
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References _ _ H.5 #HULL D.G., RADK
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References _ _ L.2 LOOZE D.P., HSU
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References _ _ N.4 NABAA N., BISHOP
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References _ _ R.3 RUSNACK I., “O
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References _ _ S.15 SINGER R.A.,
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References _ _ Y.2 YUAN P., CHERN J
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Bibliography _ _ B.13 BABA Y., YAMA
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Bibliography _ _ B.40 BECKER J.C.,
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Bibliography _ _ C.33 CORTINA E., O
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Bibliography _ _ E.8 ERSHOV A.A.,
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Bibliography _ _ G.34 GUTMAN P., VE
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Bibliography _ _ H.35 HUSSAIN A.M.,
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Bibliography _ _ K.14 KATZIR S., CL
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Bibliography _ _ L.19 LEFAS C.C,
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Bibliography _ _ M.16 MAYNE D.Q., P
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Bibliography _ _ P.1 PAINTER J.H.,
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Bibliography _ _ R.32 RONG LI X., Z
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Bibliography _ _ S.47 SPEYER J.L.,
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Bibliography _ _ V.5 VIAN J.L., MOO
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Bibliography _ _ W.29 WATSON G.A.,
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Appendix A / Geometric Points _ _ 1
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Appendix A / Geometric Points _ _ 1
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Appendix B / Frames of Reference _
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Appendix C / Axis Transforms _ _ 16
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Appendix C / Axis Transforms _ _ YP
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Appendix C / Axis Transforms _ _ B
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Appendix C / Axis Transforms _ _ YB
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Appendix C / Axis Transforms _ _ Us
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Appendix C / Axis Transforms _ _ No
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Appendix C / Axis Transforms _ _ B
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Appendix C / Axis Transforms _ _
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Appendix D / Point Mass Dynamics _
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Appendix E / Earth Geometry _ _ 18-
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Appendix E / Earth Geometry _ _ ELL
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Appendix E / Earth Geometry _ _ (dx
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Appendix E / Earth Geometry _ _ Int
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Appendix E / Earth Geometry _ _ 18.
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Appendix E / Earth Geometry _ _ 19-
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Appendix E / Earth Geometry _ _ P S
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Appendix E / Earth Geometry _ _ 19.
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Appendix E / Earth Geometry _ _ ∂
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Appendix G / Gravity _ _ 20-2
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Appendix G / Gravity _ _ g : = g +
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Appendix G / Gravity _ _ d −6 2
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Appendix G / Gravity _ _ 20-8
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Appendix H / Steady State Tracking
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Appendix I / Utilities _ _ 22.1-2
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Appendix I / Utilities _ _ Cartesia
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Appendix I / Utilities _ _ Matrix P
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Appendix I / Utilities _ _ 22.1-8
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Appendix I / Utilities / General Ut
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Appendix I / Utilities / WGS 84 Tar
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Appendix I / Utilities / Axis Trans
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Appendix I / Utilities / Point Mass
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Appendix I / Utilities / Earth, Atm
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Appendix I / Utilities / Earth, Atm
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Appendix I / Utilities / Digital Ma
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Appendix I / Utilities / Digital Fi
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Appendix I / Utilities / Matrices _
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Appendix I / Utilities / Quaternion
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Appendix I / Utilities / Trigonomet
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Appendix I / Utilities / Vectors _
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Appendix I / Utilities / Covariance
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