MATLAB: How to plot a piecewise summation.

series

Would anyone be able to help me to plot this equation in MATLAB?

Best Answer

Something like this?

tau = 1;
t = 0:0.1:10;
n = ceil(t/tau);
for i = 1:numel(n)
    
     S = 0;
     for k = 1:n(i)
        S = S + (-1)^k*(t(i) - (k-1)*tau)^k/factorial(k); 
     end
     u(i) = 1 + S;
end
plot(t,u),grid
xlabel('t'),ylabel('u')

Related Solutions

MATLAB: How can I plot a summation correctly

n = 10;
k = 0:n;
S = cumsum(1./(k.^2+1));
plot(k,S)

MATLAB: Need help programming a few tricky calculations!!

Here is one way to do the function, assuming you are looking for a numerical output, and that you pass it t as well as n:

n = ... % choose your number
t = ... % ditto
output = fn(n,t);
function f = fn(n,t)
         c = (-1)^(n-1)*t^(2-2*n)/(1-t^-4);
         S = 0;
         for k = 0:n-1
             tm = t^(-4*n*k);
             P = 1;
             for i = 0:k
                 P = P*(1-t^(4*i-4*n));
             end
             S = S + tm*P;
         end
         f = c*S;     
end

Best Answer

Related Solutions

MATLAB: How can I plot a summation correctly

MATLAB: Need help programming a few tricky calculations!!

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