a Matlab package for phased array beam shape inspection

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60 A FIGURES TO CHAPTERS 2–7 12×4 1.4×1.4 φ 0 =0.0° θ 0 =35.0° R = 360.0 km Wv = 23.3 km (3.70°) 60 |AF| 2 40 V offset (km) 20 0 −20 −40 0.02 0.02 0.1 0.5 0.02 0.02 0.1 0.02 −60 −50 0 50 H offset (km) Figure 28: TA: Receiver beam perpendicular cross section through the center of the common volume, at 300 km altitude above the VHF antenna, at the distance of 360 km from the test array. Beam elevation is 55 ◦ . The half-power beam width (red line) is 3.70 ◦ . 12×4 1.4×1.4 φ 0 =0.0° θ 0 =20.0° R = 635.0 km Wv = 35.7 km (3.23°) |AF| 2 60 0.02 V offset (km) 40 20 0 −20 −40 −60 0.02 0.1 0.02 0.5 0.02 0.02 0.1 0.5 0.1 0.1 0.02 0.02 0.5 0.02 0.02 −50 0 50 H offset (km) Figure 29: TA: Receiver beam perpendicular cross section through the center of a common volume at 600 km altitude. The beam elevation is 70 ◦ , and the range to the center of the common volume is 635 km. Beam elevation is 70 ◦ . The half-power beam width (red line) is 3.23 ◦ .
61 V eff for a long pulse (km 3 ) V eff for a 70 µs pulse (km 3 ) 200 150 100 50 V = 155 km 3 0 900 1000 1100 1200 1300 1400 1500 PPD (µs) 80 60 40 20 V = 67 km 3 0 900 1000 1100 1200 1300 1400 PPD (µs) Figure 30: TA: Filling of the common volume at about 120 km altitude. The top panel shows how the common volume fills as a function of the propagation time of a long, volume-filling, pulse. For instance, the signal that is received at about 1400 µs after the start of transmission, comes from the whole 155 km 3 common volume. The curve at the bottom panel gives the effective scattering volume as function of time for a 70 µs pulse. Such a pulse is never able to illuminate the whole volume, so the maximal scattering volume is less than the size of the common volume. The plots are produced by common volume.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 and 58: 57 ∆X z E p χ P Q ∆Z z r 2 R 2
Page 59: 0.02 59 12×4 1.4×1.4 φ 0 =0.0°
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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