a Matlab package for phased array beam shape inspection

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58 A FIGURES TO CHAPTERS 2–7 ARRAY Mx=12 My=4 Dx=1.40 Dy=1.40 ELEMENT φ=0° θ=35° W=52° Ge=11.5 dBi BEAM W(0°)=3.03° Gref=28.3 dBi D(16.7°)=28.8 D(35.0°)=28.1 0 D / G ref (dB) −2 −4 −6 −8 Vertical width (°) −10 20 15 10 5 0 −10 0 10 20 30 40 50 60 70 80 90 Zenith angle (°) −10 0 10 20 30 40 50 60 70 80 90 Zenith angle (°) Figure 26: TA: Directivity as a function of the beam’s zenith angle. The plot is produced by plot maxgain.m, based on Eq. (71) and the simplified element gain of Eq. (73), with assumed element directivity G e = 11.5 dBi, and element zenith angle θ = 35 ◦ . The dark portion of the curve corresponds to directivity that is at most 3 dB below the reference directivity G ref = 48 × G e = 28.3 dBi. The bottom panel gives the half power beam width in the vertical plane. The markers in the top panel are at zenith angles 13.0 ◦ , 20.0 ◦ , 35.0 ◦ and 60.1 ◦ , corresponding to common volume altitudes 1000 km, 600 km, 300 km and 120 km. The directivities in these directions are 26.1 dBi, 28.7 dBi, 28.1 dBi and 25.4 dBi. The plot was produced by plot maxgain.m.
0.02 59 12×4 1.4×1.4 φ 0 =0.0° θ 0 =60.0° R = 233.0 km Wv = 24.8 km (6.09°) 40 0.02 |AF| 2 30 0.02 V offset (km) 20 10 0 −10 0.1 0.02 0.1 0.5 0.02 0.5 0.1 0.02 −20 −30 0.02 0.1 −40 −40 −20 0 20 40 H offset (km) 0.02 Figure 27: TA: Receiver beam perpendicular cross section through the center of the common volume, at 120 km altitude above the VHF antenna, at the distance of 233 km from the test array. Beam elevation is 30 ◦ . The contours give the relative gain g = |AF| 2 , normalized to unity at the beam center. The half-power vertical beam width (red line) is 6.1 ◦ . The plot was produced by beamshape2d.m.
Page 1 and 2:
E3ANT A Matlab Package for Phased A
Page 3 and 4:
List of Figures 1. Beam steering. .
Page 5 and 6:
5 2. Time steering and phase steeri
Page 7 and 8: 2.2 Monochromatic signals—time-st
Page 9 and 10: 3.1 Transmission 9 lobes have equal
Page 11 and 12: 3.2 Reception 11 current I goes via
Page 13 and 14: 3.2 Reception 13 equations. But fir
Page 15 and 16: 15 “losing sensitivity” (due) t
Page 17 and 18: 4.2 Array factor as 2-D discrete Fo
Page 19 and 20: 4.6 Parseval’s theorem 19 closed
Page 21 and 22: 4.9 The power integral for an array
Page 23 and 24: 4.12 Computing the antenna directiv
Page 25 and 26: 4.14 2-D beam cross section 25 or m
Page 27 and 28: 5.1 Timing accuracy versus pointing
Page 29 and 30: 6.1 Method 29 excitation amplitudes
Page 31 and 32: 31 electric field and the scatterin
Page 33 and 34: 33 Table 1: Predicting SNR for the
Page 35 and 36: 35 s(t, r; û) E p û û 0 0 R m
Page 37 and 38: 37 D=1.0; θ 0 = 60, θ g = −8, 6
Page 39 and 40: 39 (a) (b) (c) (d) Figure 5: Random
Page 41 and 42: 41 A + Z 2 I A Z 1 B + Z 3 V V (B)
Page 43 and 44: 43 E 0 E m û d m P xy ∆ m P u Fi
Page 45 and 46: 45 80 60 40 20 θ 0 (°) 0 −20
Page 47 and 48: 47 10 Beam width (°) 9 8 7 6 5 4 M
Page 49 and 50: 49 Y X Figure 17: A 3D view of an a
Page 51 and 52: 51 45 40 Directivity (dBi) 35 30 25
Page 53 and 54: 53 ARRAY 50×20 1.50×1.50 δx=0.0
Page 55 and 56: 55 ARRAY 50×20 1.50×1.50 δx=0.0
Page 57: 57 ∆X z E p χ P Q ∆Z z r 2 R 2
Page 61 and 62: 61 V eff for a long pulse (km 3 ) V
Page 63 and 64: 63 V eff for a long pulse (km 3 ) V
Page 65 and 66: 65 B. Pointing geometry The functio
Page 67 and 68: 67 KIRUNA Lat=67.86 Lon=20.44 Hgt=0
Page 69: 69 C. Matlab functions There are tw
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a Matlab package for phased array beam shape inspection

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