EURASIP Journal on Wireless Communications and Networking

Table 2 Optimal performance obtained by OPMPD approach

From: Simple solution to the optimal deployment of cooperative nodes in two-dimensional TOA-based and AOA-based localization system

	Environment 1				Environment 2				Environment 3
(a) TOA-based
m	ℜ	β _O,m,T	\( G D O{P}_{\mathrm{C},\mathrm{TOA}}^m \)	Z _T	ℜ	β _O,m,T	\( G D O{P}_{\mathrm{C},\mathrm{TOA}}^m \)	Z _T	ℜ	β _O,m,T	\( G D O{P}_{\mathrm{C},\mathrm{TOA}}^m \)	Z _T
1	0	0.6283	0.7683	1	2.8794	2.9044	1.0308	6	1.6133	2.0051	0.7739	3
2	0.309	2.1991	0.7071		2.3794	2.9044	0.8010		0.9675	2.0051	0.7085
3	0	0.6283	0.6708		1.8794	2.9044	0.7004		0.3217	2.0051	0.6677
4	0.309	2.1991	0.6325		1.3794	2.9044	0.6425		−0.3241	0.4343	0.6332
5	0	0.6283	0.6055		0.8794	2.9044	0.6045		0.3217	2.0051	0.6037
6	0.309	2.1991	0.5774		0.3794	2.9044	0.5775		−0.3241	0.4343	0.5778
(b) AOA-based
m	ℜ	β _O,m,A	\( G D O{P}_{\mathrm{C},\mathrm{AOA}}^m \)	Z _A	ℜ	β _O,m,A	\( G D O{P}_{\mathrm{C},\mathrm{AOA}}^m \)	Z _A	ℜ	β _O,m,A	\( G D O{P}_{\mathrm{C},\mathrm{AOA}}^m \)	Z _A
1	0.0015	2.1057	26.3141	2	0.0002894	2.0944	45.8142	1	0.0024	1.7526	27.4448
2	0.0002527	2.1057	22.5644		−0.0009206	0.5236	26.8686		0.0002859	1.7526	22.7065
3	−0.000948	0.5349	19.2462		0.0002894	2.0944	22.8770		−0.0041	0.1868	14.8350
4	0.0002527	2.1057	17.5197		−0.0009206	0.5236	19.4544		0.0052	1.7526	13.9309
5	−0.000948	0.5349	15.9077		0.0002894	2.0944	17.6657		0.0037	1.7526	12.8015
6	0.0002527	2.1057	14.8611		−0.0009206	0.5236	16.0237		0.0008377	1.7526	11.6386

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