A Generalized ANN Model for Analyzing and Synthesizing Rectangular, Circular, and Triangular Microstrip Antennas

Table 2

Training and testing patterns [2–14] for synthesis of MSAs.

(a)

Synthesis of rectangular MSAs [2–5]
Input parameters (5-dimensional)					𝑊𝑟 (cm)	𝐿𝑟 (cm)
𝑓𝑟 (GHz)	ℎ (cm)	𝜀𝑟	m	n
2.3100	0.3175	2.3300	1	0	5.7000	3.8000
2.8900	0.3175	2.3300	1	0	4.5500	3.0500
4.2400	0.3175	2.3300	1	0	2.9500	1.9500
5.8400	0.3175	2.3300	1	0	1.9500	1.3000
6.8000	0.3175	2.3300	1	0	1.7000^▲	1.1000^▲
7.7000	0.3175	2.3300	1	0	1.4000	0.9000
8.2700	0.3175	2.3300	1	0	1.2000	0.8000
9.1400	0.3175	2.3300	1	0	1.0500	0.7000
4.7300	0.9525	2.3300	1	0	1.7000	1.1000
7.8700	0.1524	2.3300	1	0	1.7000	1.1000
2.2280	0.1524	2.5000	1	0	4.1000	4.1400
2.2000	0.1524	2.5000	1	0	6.8580^▲	4.1400^▲
2.1810	0.1524	2.5000	1	0	10.800	4.1400
7.7400	0.0170	2.2200	1	0	0.8500	1.2900
8.4500	0.0170	2.2200	1	0	0.7900^▲	1.1850^▲
3.9700	0.0790	2.2200	1	0	2.0000	2.5000
7.7300	0.0790	2.5500	1	0	1.0630	1.1830
4.6000	0.1270	10.200	1	0	0.9100	1.0000
5.0600	0.1570	2.3300	1	0	1.7200	1.8600
4.8050	0.1570	2.3300	1	0	1.8100^▲	1.9600^▲
6.5600	0.1630	2.5500	1	0	1.2700	1.3500
5.6000	0.1630	2.5500	1	0	1.5000	1.6210
6.2000	0.2000	2.5500	1	0	1.3370^▲	1.4120^▲
7.0500	0.2420	2.5500	1	0	1.1200	1.2000
5.8000	0.2520	2.5500	1	0	1.4030	1.4850
5.2700	0.3000	2.5000	1	0	1.5300	1.6300
7.9900	0.3000	2.5000	1	0	0.9050	1.0180
6.5700	0.3000	2.5000	1	0	1.1700	1.2800
5.1000	0.4760	2.5500	1	0	1.3750^▲	1.5800^▲
8.0000	0.3300	2.5500	1	0	0.7760	1.0800
7.1340	0.4000	2.5500	1	0	0.7900	1.2550
6.0700	0.4500	2.5500	1	0	0.9870	1.4500
5.8200	0.4760	2.5500	1	0	1.0000^▲	1.5200^▲
6.3800	0.4760	2.5500	1	0	0.8140	1.4400
5.9900	0.5500	2.5500	1	0	0.7900	1.6200
4.6600	0.6260	2.5500	1	0	1.2000	1.9700
4.6000	0.8540	2.5500	1	0	0.7830	2.3000
3.5800	0.9520	2.5500	1	0	1.2560^▲	2.7560^▲
3.9800	0.9520	2.5500	1	0	0.9740	2.6200
3.9000	0.9520	2.5500	1	0	1.0200	2.6400
3.9800	1.0000	2.5500	1	0	0.8830	2.6760
3.9000	1.1000	2.5500	1	0	0.7770	2.8350
3.4700	1.2000	2.5500	1	0	0.9200	3.1300
3.2000	1.2810	2.5500	1	0	1.0300^▲	3.3800^▲
2.9800	1.2810	2.5500	1	0	1.2650	3.5000
3.1500	1.2810	2.5500	1	0	1.0800	3.4000

(b)

Synthesis of circular MSAs [6–12]
Input parameters (5-dimensional)					𝑅𝑐 (cm)
𝑓𝑐 (GHz)	h (cm)	𝜀𝑟	m	n
6.6340	0.1588	2.6500	1	1	0.7400
4.9450	0.2350	4.5500	1	1	0.7700
6.0740	0.1588	2.6500	1	1	0.8200
5.2240	0.1588	2.6500	1	1	0.9600^▲
3.7500	0.2350	4.5500	1	1	1.0400
4.7230	0.1588	2.6500	1	1	1.0700
4.4250	0.1588	2.6500	1	1	1.1500
4.0700	0.0794	2.5900	1	1	1.2700
2.0030	0.2350	4.5500	1	1	2.0000
1.3600	0.2350	4.5500	1	1	2.9900^▲
1.5700	0.1588	2.5000	1	1	3.4930
1.5100	0.3175	2.5000	1	1	3.4930
1.4430	0.1524	2.4900	1	1	3.8000
1.0300	0.2350	4.5500	1	1	3.9750
1.0990	0.3180	2.5200	1	1	4.8500
0.8250	0.2350	4.5500	1	1	4.9500
1.1280	0.1590	2.3200	1	1	5.0000
0.8350	0.0800	2.3200	1	1	6.8000
0.8290	0.1590	2.3200	1	1	6.8000^▲
0.8150	0.3180	2.3200	1	1	6.8000

(c)

Synthesis of triangular MSAs [13, 14]
Input parameters (5-dimensional)					𝑆𝑡 (cm)
𝑓𝑡 (GHz)	h (cm)	𝜀𝑟	m	n
1.5190	0.0700	10.5000	1	0	4.1000^▲
2.6370	0.0700	10.5000	1	1	4.1000
2.9950	0.0700	10.5000	2	0	4.1000
3.9730	0.0700	10.5000	2	1	4.1000
4.4390	0.0700	10.5000	3	0	4.1000
1.4890	0.0780	2.3200	1	0	8.7000
2.5960	0.0780	2.3200	1	1	8.7000
2.9690	0.0780	2.3200	2	0	8.7000
3.9680	0.0780	2.3200	2	1	8.7000^▲
4.4430	0.0780	2.3200	3	0	8.7000
1.2800	0.1590	2.3200	1	0	10.0000
2.2420	0.1590	2.3200	1	1	10.0000
2.5500	0.1590	2.3200	2	0	10.0000
3.4000	0.1590	2.3200	2	1	10.0000
3.8240	0.1590	2.3200	3	0	10.0000^▲

^▲Testing patterns.