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)						𝑓𝑟 (GHz)
𝑊𝑟 (cm)	𝐿𝑟 (cm)	h (cm)	𝜀𝑟	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

(b)

Analysis of circular MSAs [6–12]
Input parameters (5-dimensional)					𝑓𝑐 (GHz)
𝑅𝑐 (cm)	h (cm)	𝜀𝑟	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)					𝑓𝑡 (GHz)
𝑆𝑡 (cm)	h (cm)	𝜀𝑟	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^▲

^▲Testing patterns.