a Matlab package for phased array beam shape inspection
a Matlab package for phased array beam shape inspection a Matlab package for phased array beam shape inspection
40 A FIGURES TO CHAPTERS 2–7 I R r Figure 6: TX equivalent circuit.
41 A + Z 2 I A Z 1 B + Z 3 V V (B) A A − B − (a) A + V (A) B V Z 1 Z 2 B + Z 3 I B A − B − (b) Figure 7: Reciprocity in electronic circuitry. Assume that in panel (a), a current I A = I 0 is applied to port A of a two-port circuit, and that it causes the voltage V (B) A = U 0 in port B. Then assume that the current generator and the voltmeter are interchanged, to get the situation shown in panel (b). Assume that the generator is adjusted so that it produces the same current I 0 to port B, I B = I 0 . Then the statement of reciprocity is that the voltage meter at port A will read U 0 , V (A) B = U 0 . For the specific circuitry shown here, this can be verified by direct computation of the voltage, which in both cases gives U 0 = Z AB I 0 , where Z AB = Z 1 Z 3 /(Z 1 + Z 2 + Z 3 ). The internal currents and voltages in cases (a) and (b) are different—for instance, the currents through Z 2 and Z 3 are equal in case (a) and non-equal in case (b)—but the coupling between the ports is the same; in both cases, it is quantified by the same linear relationship involving the impedance Z AB .
- 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: 39 (a) (b) (c) (d) Figure 5: Random
- 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 and 60: 0.02 59 12×4 1.4×1.4 φ 0 =0.0°
- 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
40 A FIGURES TO CHAPTERS 2–7<br />
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Figure 6: TX equivalent circuit.
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