I'm given with an output sequence $y(n)$ and impulse response of the system $h(n)$. I have to obtain the input sequence $x(n)$.
My idea is $$y(n) = x(n)\ast h(n)$$
Taking z-transform on both sides and then it becomes $$Y(z)=X(z)H(z)$$
Here after I don't know how to get $X(z)$. I'm not sure whether I could do simple division with $Y(z)$ and $H(z)$
The given sequences are
$$y(n)=\{8,22,11,31,4,12\}$$
$$h(n)=\{2,5,0,4\}$$
Please give me an idea to proceed further. Thankyou :)