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
68 B POINTING GEOMETRY ABISKO Lat=68.36 Lon=18.80 Hgt=0.00 Tromso vertical (−), field−aligned 184.9, 77.4 (−−), and CP2 (.) 100 100 Elevation (°) 50 Azimuth (°) 50 Range (km) 0 0 100 200 300 CV altitude (km) 400 300 200 100 0 100 200 300 CV altitude (km) Intersection angle (°) 0 0 100 200 300 CV altitude (km) 150 100 Figure 41: Pointing directions from Abisko. 50 0 0 100 200 300 CV altitude (km)
69 C. Matlab functions There are two types of m-files in the e3ant directory: m-files that produce plots, and m-files that don’t. The plotting files have simple headers and do not usually allow parameter input on the command line. Instead, they require that the input parameters be hardcoded in the files themselves. Plotting normally requires so much parameters and fine-tuning that putting all that info into call parameter list is impractical. Thus, the files must be manipulated, but I have made an effort to indicate what can be safely modified. The other group of m-files perform some clearly defined computation and have normal parametrized headers, and the normal Matlab help should work usefully in their case. Plotting functions • beamshape2d — Plot beam’s 2D cross section. • beamsteering — Plot beam direction as a function of phasing angle. • common volume — Compute and plot the size of the effective scattering volume. • planearray — Plot array gain in V-plane at any azimuth. • planearray-jitter — Plot beam shape jitter distributions. • plot maxgain — Plot maximum available gain (the element’s gain) and the vertical beamwidth as function of elevation. • simplebeam — Plot the cos n (θ/2) gain pattern. • sitegeom1 — Plot a sites’s pointing directions for certain Tromsø beam directions. Computation-only functions • arraygain Compute array factor and element gain in arbitrary directions. • beamwidth Compute vertical beam width of an array. • grating dir Compute an array’s grating beam directions. • powerint Computes an array’s directivity and power integral. • simplegain Compute an element’s normalized gain assuming cos n (θ/2) shape. • simple vhfbeam Gaussian approximation to VHF antenna beam shape. • testarray snr Compute the expected SNR for the test array.
- 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 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: 67 KIRUNA Lat=67.86 Lon=20.44 Hgt=0
68 B POINTING GEOMETRY<br />
ABISKO Lat=68.36 Lon=18.80 Hgt=0.00<br />
Tromso vertical (−), field−aligned 184.9, 77.4 (−−), and CP2 (.)<br />
100<br />
100<br />
Elevation (°)<br />
50<br />
Azimuth (°)<br />
50<br />
Range (km)<br />
0<br />
0 100 200 300<br />
CV altitude (km)<br />
400<br />
300<br />
200<br />
100<br />
0 100 200 300<br />
CV altitude (km)<br />
Intersection angle (°)<br />
0<br />
0 100 200 300<br />
CV altitude (km)<br />
150<br />
100<br />
Figure 41: Pointing directions from Abisko.<br />
50<br />
0<br />
0 100 200 300<br />
CV altitude (km)
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