Deploy Sensor Nodes Inside a Circle with n_sectors

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?

[Walter Roberson]

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]

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

Answer 1

[Walter Roberson]

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.

Answer 2

[Tamoor Shafique]

Could this sectoring work be done in a 3D WSN deployment? is there any code for Balanced load distribution in 3D WSN deployment

[Walter Roberson]

https://www.mathworks.com/help/matlab/math/numbers-placed-randomly-within-volume-of-sphere.html

[Tamoor Shafique]

Dear Walter,

Thank you very much that was very helpful. has anyone tried to balance load in a 3D WSN converge cast communication? I have seen a lot of work in square and rectangular and circular networks but I cannot find any for 3D. I was wondering has it been done or is there nothing different for 3D?

[Walter Roberson]

I have no idea. It is not a topic that I have looked at.

[Tamoor Shafique]

Thanks for your response anyway