I need to reproduce the paper result

when i apply m=4 delay timer consecutive samples less than 4 should be eliminated how to do that on matlab x(t) is actually random variable only takes 1(when alarm raises) 0 (when alarm clears)

this is what on the the paper

syms i;

t = 3:50;

for t=3:50

x(t)=rand(1,1)<=0.5;

if double(symsum(x,i,t-m+1,t))== m & x(t-1)==0

x(t)= 1;

elseif double(symsum(x,i,t-m+1,t))==0 & x(t-1)==1

x(t)= 0;

end

end

figure,stem(t,x(t))

xlabel('t')

ylabel('x(t)') this is the code i have trying to write but not complete

Answer 1

[Fifteen12]

I'm not sure what the difference between x_a and x_a,m is, but maybe this would work:

x = [1, 1, 1, 1, 1, 0];

m = 4;
t = 6;
sum_x = sum(x(max(0,t-m+1):t));

if sum_x == m && x(t-1) == 0
    x(t) = 1;
elseif sum_x == m && x(t-1) == 1
    x(t) = 0;
else
    x(t) = x(t-1);
end

disp(x(t))

     1

this assumes that x_a and x_a,m are the same list