- #1
Lindsayyyy
- 219
- 0
Hi everyone
I want to to calculate the convolution of the following two functions
[tex] h(t)=\left\{\begin{array}{ll} t, & 0 \leq t \leq 10 \\
0, & otherwise\end{array}\right. [/tex] and the function
[tex] x(t)=\left\{\begin{array}{ll} A, & 0 \leq t \leq 10 \\
0, & otherwise\end{array}\right. [/tex]
Convolution theorem
I tried to solve it, but I have problems with the constant A.
I wrote
[tex] h(t) * x(t) = \int_{0}^{10} h(\tau) *x(t-\tau) d\tau =\int_{0}^{10} \tau \cdot A d\tau[/tex]
I'm not sure about the last step, can anyone help me ?
Thanks for your help in advance
edit: actually I think the limits are wrong aswell? Because If I'd do it this way I get a number as a result and not a function. But I don't know what the limits should be then?!
Homework Statement
I want to to calculate the convolution of the following two functions
[tex] h(t)=\left\{\begin{array}{ll} t, & 0 \leq t \leq 10 \\
0, & otherwise\end{array}\right. [/tex] and the function
[tex] x(t)=\left\{\begin{array}{ll} A, & 0 \leq t \leq 10 \\
0, & otherwise\end{array}\right. [/tex]
Homework Equations
Convolution theorem
The Attempt at a Solution
I tried to solve it, but I have problems with the constant A.
I wrote
[tex] h(t) * x(t) = \int_{0}^{10} h(\tau) *x(t-\tau) d\tau =\int_{0}^{10} \tau \cdot A d\tau[/tex]
I'm not sure about the last step, can anyone help me ?
Thanks for your help in advance
edit: actually I think the limits are wrong aswell? Because If I'd do it this way I get a number as a result and not a function. But I don't know what the limits should be then?!