Question

Propose two of your own random number generation schemes. Please generate 100 random numbers ?? (? = 1,2, … ,100) for each scheme and show the results on the same plot for comparison (i.e., x-axis of the plot will show the index ? and y-axis will show the generated random numbers ??. You can use different colors and/or symbols to distinguish one sequence from the other). Discuss which scheme will be preferred.

Answer 1

%%Matlab code for Random number generation
clear all
close all

%Linear congruential generator
a=343234;
b=432523;
m=999999;

x=1;
for i=1:100
    y1(i)=mod(a*x+b,m);
    x=y1(i);
end
xx=1:100;
plot(xx,y1,'bo','linewidth',2)

%Middle square method
seed=213456;

for i=1:100
  
    x=seed^2;
    y=num2str(x);
    ln=length(y);
    if ln<=12
        y(ln+1:12)=num2str(0);
    end
    y2(i)=str2num(y(4:9));
    seed=y2(i);
end
hold on
plot(xx,y2,'r*','linewidth',2)

xlabel('i')
ylabel('y(i)')
title('Random number with two different methods')
legend('Linear congruential','Middle square method')

%%%%%%%%%%%%%%%%%% End of Code %%%%%%%%%%%%%%%%%%