How to identify biggest location plot of random plotting

I have a random plot and distance calculation. How can I identfy and inform the nodes which has a largest plot data to create one node in the middle of the group.

I know the distance of the node from A to BS. But I cant figure how to tell other node of A which location has many nodes and create 1 middle node but still close to BS.

I tried using range, min and max but the result only show which is far or close to the BS.

n = 50;              
A =rand (n,2)*5;      
BS = [2.5 2.5];
Dist  = sqrt(sum((BS - A) .^ 2, 2));
plot(A(:,1), A(:,2), '.'); hold on                          %random plot
plot(BS(:,1), BS(:,2), '*','MarkerSize',10); 

Answer 1

[KSSV]

You need to sort the distance and pick the required number of points you want, to get the points from A close to BS.

n = 50;              
A =rand (n,2)*5;      
BS = [2.5 2.5];
Dist  = sqrt(sum((BS - A) .^ 2, 2));
% Sort the Distance to get nodes closer to BS
[val,idx] = sort(Dist) ; 
% pick first ten points from A close to BS
P = A(idx(1:10),:) ;
% get mean 
Q = mean(P,2) ; 
% plot 
plot(A(:,1), A(:,2), '.r'); hold on                          %random plot
plot(BS(1), BS(2), '*b','MarkerSize',10); 
plot(P(:,1), P(:,2), 'ok');
plot(Q(1),Q(2),'*r')

You can also have a look on inbuilt finction knnsearch which is exclusively made to get the nearest neighbors.

[wan asma]

I also used knnsearch but only get 1 point. And also use rangesearch and dsearchn but did not get desired output.

From the code, do you have a way to cover the area at the end where the node plotted? I need to create 1 node among them to be able communicate with BS point. Because I need to cover each node by make a group for them and select one node to communicate to BS point.

Thank you

[KSSV]

For knnsearch you need to specify the number of points you want, default is one thats why, you got only one point. Can you elaborate more on what you expect?

[wan asma]

yes. I need to produce a random node(A) and 1 fix point(BS). After that, I need to find 1 node among the random plot which can form a group of node and located near to point BS. As the random plot are randomly plot, it may produce more than 1 group of node.

[wan asma]

Thank you for your tips knnsearch. Thankyou.