I'm having problem to adjust the range of the time to be from 0 to 10 , it shows me error in the vectors must be the same length and i don't know how to use the length function in matlab

T = 0.01;

time=[0:T:10];

h = exp(-time) - exp(-3*time);

x=(heaviside(-(-time+1))- heaviside(-(-time+4)));

y= conv(h,x)*T;

plot(y);

[Haidar AL Hassan]

the range of the x axis should be 0 to 100 but when i plotted it showed me to 1000 however when i put in plotting function the time as plot(time, y) it shows me error

Answer 1

[Mark Sherstan]

The error is coming from using conv. As per MATLAB documentation it states:

>> help conv
 conv Convolution and polynomial multiplication.
    C = conv(A, B) convolves vectors A and B.  The resulting vector is
    length MAX([LENGTH(A)+LENGTH(B)-1,LENGTH(A),LENGTH(B)]). If A and B are
    vectors of polynomial coefficients, convolving them is equivalent to
    multiplying the two polynomials.

Therefore you are getting a vector of length(A) + length(B) - 1. This yields a vector of length 1x2001. Instead use element wise multiplication as follows:

T = 0.01;
time = [0:T:10];
h = exp(-time) - exp(-3*time);  
x = (heaviside(-(-time+1))- heaviside(-(-time+4)));

y = (h.*x)*T;
plot(time,y);

This will yield a 1x1001 vector that can be plotted as required. To use the length function simply call length(), where the variable whos length you want to know goes between the brackets.