i need to sketch y[n] where * denotes the convolution operator and delta is the unit impulse. I know how to sketch x[n-1] and delta[n-2] but i have problems with the convolution. In my script i only found this formula for convolution with delta pulses.
\begin{aligned} z[n] * \delta[n-n0] & = z[n-n0] \\ \end{aligned}But it doesn't help me at all...
\begin{aligned} x[n] & = (\frac{1}{2})^n (u[n+1]-u[n-3]) \\ y[n] & = x[n-1] * \delta[n-2] \end{aligned}Maybe someone can help me. ;-)
And is there an easy way to prove my sketches?
Wolfram Alpha doesn't work i think.