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Table 1 Fractal characteristics of 2D and 3D lattice structures

From: Source positioning in a large-scale tiny-sensor network of arbitrary topology

Fractal parameters

Values

p occ(2)

0.41

0.42

0.45

0.50

0.60

0.90

 cμ(2)

0.5736

0.8393

1.4337

1.5947

1.4389

1.0169

 dμ(2)

1.3469

1.2631

1.1116

1.0410

1.0041

1.0007

 cσ(2)

0.1252

0.2560

1.1821

1.9558

1.6301

0.2291

 dσ(2)

1.3921

1.2470

0.8479

0.6343

0.5178

0.5022

p occ(3)

0.10

0.12

0.14

0.17

0.20

0.30

 cμ(3)

0.1245

1.3137

1.5666

1.4140

1.2569

1.0556

 dμ(3)

1.7956

1.1650

1.0508

1.0116

1.0041

1.0004

 cσ(3)

0.0153

1.7925

2.7176

1.9873

1.1938

0.3684

 dσ(3)

2.0603

0.8296

0.5788

0.5038

0.5033

0.5025