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Based on our experiment we concluded that for four sensor nodes, the optimal distance that results in the minimum overlap area (without any blind spots) is achieved when k is equal to 0.785 (¥ð/4). Following this conclusion, distance d between C1 and C2 is therefore equal to (¥ð/2)r. In adherence to this conclusion, once the sensor nodes are distributed in random scattered method, they need to be autonomously relocated by satisfying the following parameter values with k = ¥ð/4:
d: ¡®d1¡¯ = ¥ð/2 r ≈ 1.57r
d = d = d = d = ¡î(r^2 k^2+(r+¡î(r^2-r^2 k^2 ))^2 ) =r¡î(2+2¡î(1-k^2 )) =
r(¡î(1+k)+¡î(1-k)) ≈ 1.80r
¥è1 = 2cos-1(k) ≈ 1.334 rad. ≈ 76.48¨¬.
¥è2 = 2cos-1((¡î(1+k)+¡î(1-k))/2) ≈ 0.903 rad. ≈ 51.73¨¬
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IEEE/ICACT20210142 Slide.17
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