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How to create a nested for loop to create a mesh plot

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Adam
Adam on 17 Apr 2013
I am trying to finish this problem for a beginner class, so it can't have too difficult of code and I can't seem to figure out what is asked and how to make it happen.
Question: Using a nested for loop,multiply the vector y1 with the decay e-at,for 1<t<100 and a=1,and create the array z. Plot z using the command “mesh”. Find the minimum value of a, for which all the values of z at time 100 are approximately zero.
My Answer So Far:
clear all;
clc;
for i=1:501;
x(i)=(i-1)*(20/500)-10;
end;
y1=sin(2.*x)+sin(x);
if y1(y1<-1);
y1(y1<-1)=0;
end;
if y1(y1>1);
y1(y1>1)=0;
end;
plot(x,y1);
a=1;
for m=1:100;
for t=1:m;
f(t)= exp(-a*t);
end;
z(y1)=y1.*f;
end;
This comes back with:
"Subscript indices must either be real positive integers or logicals.
Error in SinLoopIfThen (line 20)
z(y1)=y1.*f;
Am I even understanding the question and if so how can I fix it?

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Answers (2)

Desiree Phillips
Desiree Phillips on 17 Apr 2013
The error comes up because your passing y1 to z as if it were an index (which must be a "real positive integer or logical"- a single constant) but it is a vector. Maybe
z(m) = y1.*f;
is what you meant. Going over all of your code, I think Matrix Indexing would be a great link for you to go over. There's a couple of things you can do to reduce the lines of code as well:
Matlab supports indexing using logical statements (e.g.: y1>1 - refer to link above), so the if statements aren't needed. Therefore,
if y1(y1<-1);
y1(y1<-1)=0;
end;
if y1(y1>1);
y1(y1>1)=0;
end;
can be reduced to
y1(y1<-1)=0;
y1(y1>1)=0;
As for the question you are trying to solve, checking the Mesh Plot page, you can see that mesh(z) has the requirement that z be a matrix.
The question seems to be asking you to make a z matrix where each row (or column) of z is the product of y1 and e^(-at) for each time t.
Is what you posted the exact wording of the question? It seems a bit confusing. Can you post the whole thing (sorry if its lengthy)?

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Ahmed A. Selman
Ahmed A. Selman on 17 Apr 2013
I'm not sure what are your conditions (in the if statements), but you used (y1) as a matrix index which cannot be made unless (y1) varies as 1, 2, 3.. (positive real integer, and larger than zero). But I think the following is what you're looking for:
clear all
clc
a=1;
z=zeros(501,100);
f=zeros(1,100);
x=zeros(1,501);
for i=1:501
x(i)=(i-1)*(20/500)-10;
y1=sin(2.*x)+sin(x);
if y1(y1<-1)
y1(y1<-1)=0;
end
if y1(y1>1)
y1(y1>1)=0;
end
for t=1:100
f(t)= exp(-a*t);
end
z(i,:)=y1(i)*f;
f=zeros(1,100); % resetting f
end
plot(x,y1);
figure
mesh(z)
xlabel('time');ylabel('Signal');zlabel('Amplitude');
title('Damping some signal with exponential decay function','fontWeight','bold');
And, theoretically, the value of (a) that makes (z at t=100) become zero is (infinity), since
exp(-a*t) = zero
if and only if (-at) goes to (- infinity), and since (t) is finite (t=100), so (a) must be as mentioned (I think you meant the largest value of variable a instead of the smallest). But you can assign large value to (a) that makes Matlab unable to recognize it from absolute zero, as
a=7.4200
then
min(min(z(:,100))) = -4.0019e-322
at a=7.5000, Matlab finds that the minimum is exactly 0.

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