Random uniform distribution of nodes within a radius

Hello,

I am evaluating a localization technique and need to set up a detection range such that a sensor will be in the middle with a max radius of 20m out.

I have a set of N nodes. And I'd like them to be distributed uniformly and randomly within an area (on x,y plane (z component set to 0)) with a radius of 20m.

I know the rand function is used to generate random uniform numbers, but how do I ensure that the positions generated stay within the detection range of 20m radius

Answer 1

[Dana]

I had a previous answer here but it occurred to me afterwards that the result wouldn't actually be uniform within the disk. Here's the correct way to do it. The following code draws 1,000,000 points uniformly from the disk with radius 20 and plots a histogram so you can visually verify uniformity.

n = 1000000;
maxR = 20;

Th = 2*pi*rand(n,1);
R2 = maxR^2*rand(n,1);
x = sqrt(R2).*cos(Th);
y = sqrt(R2).*sin(Th);

figure
histogram2(x,y)

Answer 2

[SUMITHRA SOFIA]

if u distribute like this how will u automatically place the sensor node in centre , do u retrive any data from the plot u generate