Research Article
A Generalized ANN Model for Analyzing and Synthesizing Rectangular, Circular, and Triangular Microstrip Antennas
Table 1
Training and testing patterns [
2–
14] for analysis of MSAs.
(a) |
| Analysis of rectangular MSAs [2–5] |
Input parameters (6-dimensional) | (GHz) | (cm) | (cm) | h (cm) | | m | n |
| 5.7000 | 3.8000 | 0.3175 | 2.3300 | 1 | 0 | 2.3100 | 4.5500 | 3.0500 | 0.3175 | 2.3300 | 1 | 0 | 2.8900 | 2.9500 | 1.9500 | 0.3175 | 2.3300 | 1 | 0 | 4.2400 | 1.9500 | 1.3000 | 0.3175 | 2.3300 | 1 | 0 | 5.8400 | 1.7000 | 1.1000 | 0.3175 | 2.3300 | 1 | 0 | 6.8000▲ | 1.4000 | 0.9000 | 0.3175 | 2.3300 | 1 | 0 | 7.7000 | 1.2000 | 0.8000 | 0.3175 | 2.3300 | 1 | 0 | 8.2700 | 1.0500 | 0.7000 | 0.3175 | 2.3300 | 1 | 0 | 9.1400 | 1.7000 | 1.1000 | 0.9525 | 2.3300 | 1 | 0 | 4.7300 | 1.7000 | 1.1000 | 0.1524 | 2.3300 | 1 | 0 | 7.8700 | 4.1000 | 4.1400 | 0.1524 | 2.5000 | 1 | 0 | 2.2280 | 6.8580 | 4.1400 | 0.1524 | 2.5000 | 1 | 0 | 2.2000▲ | 10.800 | 4.1400 | 0.1524 | 2.5000 | 1 | 0 | 2.1810 | 0.8500 | 1.2900 | 0.0170 | 2.2200 | 1 | 0 | 7.7400 | 0.7900 | 1.1850 | 0.0170 | 2.2200 | 1 | 0 | 8.4500▲ | 2.0000 | 2.5000 | 0.0790 | 2.2200 | 1 | 0 | 3.9700 | 1.0630 | 1.1830 | 0.0790 | 2.5500 | 1 | 0 | 7.7300 | 0.9100 | 1.0000 | 0.1270 | 10.200 | 1 | 0 | 4.6000 | 1.7200 | 1.8600 | 0.1570 | 2.3300 | 1 | 0 | 5.0600 | 1.8100 | 1.9600 | 0.1570 | 2.3300 | 1 | 0 | 4.8050▲ | 1.2700 | 1.3500 | 0.1630 | 2.5500 | 1 | 0 | 6.5600 | 1.5000 | 1.6210 | 0.1630 | 2.5500 | 1 | 0 | 5.6000 | 1.3370 | 1.4120 | 0.2000 | 2.5500 | 1 | 0 | 6.2000▲ | 1.1200 | 1.2000 | 0.2420 | 2.5500 | 1 | 0 | 7.0500 | 1.4030 | 1.4850 | 0.2520 | 2.5500 | 1 | 0 | 5.8000 | 1.5300 | 1.6300 | 0.3000 | 2.5000 | 1 | 0 | 5.2700 | 0.9050 | 1.0180 | 0.3000 | 2.5000 | 1 | 0 | 7.9900 | 1.1700 | 1.2800 | 0.3000 | 2.5000 | 1 | 0 | 6.5700 | 1.3750 | 1.5800 | 0.4760 | 2.5500 | 1 | 0 | 5.1000▲ | 0.7760 | 1.0800 | 0.3300 | 2.5500 | 1 | 0 | 8.0000 | 0.7900 | 1.2550 | 0.4000 | 2.5500 | 1 | 0 | 7.1340 | 0.9870 | 1.4500 | 0.4500 | 2.5500 | 1 | 0 | 6.0700 | 1.0000 | 1.5200 | 0.4760 | 2.5500 | 1 | 0 | 5.8200▲ | 0.8140 | 1.4400 | 0.4760 | 2.5500 | 1 | 0 | 6.3800 | 0.7900 | 1.6200 | 0.5500 | 2.5500 | 1 | 0 | 5.9900 | 1.2000 | 1.9700 | 0.6260 | 2.5500 | 1 | 0 | 4.6600 | 0.7830 | 2.3000 | 0.8540 | 2.5500 | 1 | 0 | 4.6000 | 1.2560 | 2.7560 | 0.9520 | 2.5500 | 1 | 0 | 3.5800▲ | 0.9740 | 2.6200 | 0.9520 | 2.5500 | 1 | 0 | 3.9800 | 1.0200 | 2.6400 | 0.9520 | 2.5500 | 1 | 0 | 3.9000 | 0.8830 | 2.6760 | 1.0000 | 2.5500 | 1 | 0 | 3.9800 | 0.7770 | 2.8350 | 1.1000 | 2.5500 | 1 | 0 | 3.9000 | 0.9200 | 3.1300 | 1.2000 | 2.5500 | 1 | 0 | 3.4700 | 1.0300 | 3.3800 | 1.2810 | 2.5500 | 1 | 0 | 3.2000▲ | 1.2650 | 3.5000 | 1.2810 | 2.5500 | 1 | 0 | 2.9800 | 1.0800 | 3.4000 | 1.2810 | 2.5500 | 1 | 0 | 3.1500 |
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|
(b) |
| Analysis of circular MSAs [6–12] |
Input parameters (5-dimensional) | (GHz) | (cm) | h (cm) | | m | n |
| 0.7400 | 0.1588 | 2.6500 | 1 | 1 | 6.6340 | 0.7700 | 0.2350 | 4.5500 | 1 | 1 | 4.9450 | 0.8200 | 0.1588 | 2.6500 | 1 | 1 | 6.0740 | 0.9600 | 0.1588 | 2.6500 | 1 | 1 | 5.2240▲ | 1.0400 | 0.2350 | 4.5500 | 1 | 1 | 3.7500 | 1.0700 | 0.1588 | 2.6500 | 1 | 1 | 4.7230 | 1.1500 | 0.1588 | 2.6500 | 1 | 1 | 4.4250 | 1.2700 | 0.0794 | 2.5900 | 1 | 1 | 4.0700 | 2.0000 | 0.2350 | 4.5500 | 1 | 1 | 2.0030 | 2.9900 | 0.2350 | 4.5500 | 1 | 1 | 1.3600▲ | 3.4930 | 0.1588 | 2.5000 | 1 | 1 | 1.5700 | 3.4930 | 0.3175 | 2.5000 | 1 | 1 | 1.5100 | 3.8000 | 0.1524 | 2.4900 | 1 | 1 | 1.4430 | 3.9750 | 0.2350 | 4.5500 | 1 | 1 | 1.0300 | 4.8500 | 0.3180 | 2.5200 | 1 | 1 | 1.0990 | 4.9500 | 0.2350 | 4.5500 | 1 | 1 | 0.8250 | 5.0000 | 0.1590 | 2.3200 | 1 | 1 | 1.1280 | 6.8000 | 0.0800 | 2.3200 | 1 | 1 | 0.8350 | 6.8000 | 0.1590 | 2.3200 | 1 | 1 | 0.8290▲ | 6.8000 | 0.3180 | 2.3200 | 1 | 1 | 0.8150 |
|
|
(c) |
| Analysis of triangular MSAs [13, 14] | Input parameters (5-dimensional) | (GHz) | (cm) | h (cm) | | m | n |
| 4.1000 | 0.0700 | 10.5000 | 1 | 0 | 1.5190▲ | 4.1000 | 0.0700 | 10.5000 | 1 | 1 | 2.6370 | 4.1000 | 0.0700 | 10.5000 | 2 | 0 | 2.9950 | 4.1000 | 0.0700 | 10.5000 | 2 | 1 | 3.9730 | 4.1000 | 0.0700 | 10.5000 | 3 | 0 | 4.4390 | 8.7000 | 0.0780 | 2.3200 | 1 | 0 | 1.4890 | 8.7000 | 0.0780 | 2.3200 | 1 | 1 | 2.5960 | 8.7000 | 0.0780 | 2.3200 | 2 | 0 | 2.9690 | 8.7000 | 0.0780 | 2.3200 | 2 | 1 | 3.9680▲ | 8.7000 | 0.0780 | 2.3200 | 3 | 0 | 4.4430 | 10.0000 | 0.1590 | 2.3200 | 1 | 0 | 1.2800 | 10.0000 | 0.1590 | 2.3200 | 1 | 1 | 2.2420 | 10.0000 | 0.1590 | 2.3200 | 2 | 0 | 2.5500 | 10.0000 | 0.1590 | 2.3200 | 2 | 1 | 3.4000 | 10.0000 | 0.1590 | 2.3200 | 3 | 0 | 3.8240▲ |
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▲Testing patterns.
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