Design of Fully Digital Controlled Shaped Beam Synthesis Using Differential Evolution Algorithm

Table 2

Computed 4-bit amplitudes and 5-bit phases for Case  I of the design problem.

Algorithm	Ring number	Excitation	Elements
			1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
DE	2	Phase	−180.00	−180.00	33.75	−180.00	−180.00	180.00	−90.00	−56.25	180.00	−45.00	−180.00	−180.00	−33.75	180.00	168.75	180.00	−146.25	−22.50	−146.25	−45.00
		Amp	0.0625	0.0625	0.0625	0.3125	0.8125	1.0000	0.1875	0.7500	0.1250	0.7500	0.1250	0.0625	0.0625	0.1250	0.9375	1.0000	1.0000	0.8125	0.1250	0.6875
	1	Phase	−101.25	180.00	168.75	−146.25	180.00	180.00	180.00	180.00	157.50	180.00	—	—	—	—	—	—	—	—	—	—
		Amp	0.0625	1.0000	1.0000	0.0625	1.0000	0.0625	1.0000	1.0000	0.1875	0.0625	—	—	—	—	—	—	—	—	—	—
PSO	2	Phase	−135.00	180.00	−22.50	−135.00	−22.50	−33.75	−33.75	−45.00	56.25	−90.00	−135.00	56.25	−90.00	−22.50	−11.25	11.25	−90.00	146.25	−22.50	157.50
		Amp	0.1875	0.6875	0.6875	0.0625	0.5000	0.9375	0.4375	0.3750	0.5000	0.6250	0.5000	0.5000	0.3750	0.7500	1.0000	0.6875	0.1250	0.2500	0.1875	0.4375
	1	Phase	−45.00	−22.50	22.50	33.75	−11.25	112.50	11.25	11.25	45.00	−180.00	—	—	—	—	—	—	—	—	—	—
		Amp	0.9375	0.6875	0.8750	0.5000	0.4375	0.3750	0.2500	0.3750	0.6875	0.7500	—	—	—	—	—	—	—	—	—	—
GA	2	Phase	101.25	−90.00	135.00	−67.50	−45.00	−45.00	−33.75	−56.25	11.25	−11.25	180.00	112.50	−33.75	11.25	−11.25	−22.50	−112.50	56.25	−123.75	−112.50
		Amp	1.0000	0.2500	0.5000	0.9375	0.8125	0.6875	0.6875	0.2500	0.3125	0.1250	0.5625	0.1250	0.8125	0.5625	0.8125	0.3750	0.5000	0.2500	0.3125	0.6250
	1	Phase	−11.2500	11.25	−11.2500	146.25	45.00	−67.50	11.25	11.25	56.25	180.00	—	—	—	—	—	—	—	—	—	—
		Amp	0.6875	0.3125	0.8125	0.0625	0.1875	0.8125	0.9375	0.2500	0.6875	0.5000	—	—	—	—	—	—	—	—	—	—