Hi m h,
In order to achieve this, you can follow the below steps:
1. Generate random positions for N users within the square range [-10,10] using the rand() function.
N = 10; % Number of users
range = [-10, 10]; % Square boundary
% Generate random positions in 2D space
X_N = range(1) + (range(2) - range(1)) * rand(N,1);
Y_N = range(1) + (range(2) - range(1)) * rand(N,1);
2. Randomly select r users from N to determine which users will have nearby companions.
r = 5; % Number of nearby users
selected_idx = randperm(N, r); % Select r random indices
3. Generate a random angle for each r user to ensure random placement around its paired N user.
angles = 2 * pi * rand(r,1); % Generate random angles between 0 and 2π
4. Place each r user at a specific distance using cos(angle) and sin(angle)
specific_distance = 2; % fixed distance
X_r = X_N(selected_idx) + specific_distance * cos(angles); % Shift X
Y_r = Y_N(selected_idx) + specific_distance * sin(angles); % Shift Y
5. Check minimum distance constraint from all N users to avoid overlap. (You can update this constraint based on the requirement)
for i = 1:r
for j = 1:N
if j ~= selected_idx(i)
dist = sqrt((X_r(i) - X_N(j))^2 + (Y_r(i) - Y_N(j))^2);
if dist < specific_distance % If too close, regenerate position
angle = 2 * pi * rand();
X_r(i) = X_N(selected_idx(i)) + specific_distance * cos(angle);
Y_r(i) = Y_N(selected_idx(i)) + specific_distance * sin(angle);
end
end
end
end
6. Plot both N and r users distinctly
figure; hold on;
scatter(X_N, Y_N, 50, 'b', 'filled'); % N users (blue)
scatter(X_r, Y_r, 50, 'r', 'filled'); % r users (red)
legend('N Users', 'r Users (Fixed Distance)');
xlabel('X');
ylabel('Y');
title('Randomly Distributed Users with specific Distance');
grid on;
hold off;
I hope this helps!
