Deploy Sensor Nodes Inside a Circle with n_sectors

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Eman Bany Salameh 2018-4-13

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https://ww2.mathworks.cn/matlabcentral/answers/394772-deploy-sensor-nodes-inside-a-circle-with-n_sectors

评论： Tamoor Shafique 2020-9-1

I want to randomly deploy N sensor nodes inside circle with radius R=500, that is divided evenly into n_sectrors. Also I want the distance between any two adjacent nodes not exceed 50m. How can I do this?

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Walter Roberson 2018-4-13

What shape are the sectors?

Is N, number of sensor nodes, the same as n for n_sectrors -- that is, is exactly one node to go into each sector?

When you say "adjacent nodes" do you mean "nearest neighbour", or do you mean "adjacent sectors" ?

If the requirement is for adjacent sectors, then you are biasing the nodes to be near the center of the circle. For example with 8 nodes, the widest separation for adjacent nodes would be if you were to construct a regular octagon with edge length 50. According to https://rechneronline.de/pi/octagon.php that would fit within a circumcircle of radius 65.328, using up only about 1/57th of the available area of the circle of radius 500.

Eman Bany Salameh 2018-4-14

编辑：Eman Bany Salameh 2018-4-14

like this but the difference is the number of nodes in each sector must be N/8 and the adjacent nodes means "nearest neighbor" and should not exceed d distance

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Answer 1

Walter Roberson 2018-4-15

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https://ww2.mathworks.cn/matlabcentral/answers/394772-deploy-sensor-nodes-inside-a-circle-with-n_sectors#answer_315262

There is a discussion with code at https://www.mathworks.com/matlabcentral/answers/324920-scatter-randomized-points-with-circles in which the points are placed with a minimum distance; you could reverse the test to get maximum distance.