4. Consider a cascaded system where two LTI filters are connected in series, i.e. the input x[n] goes through the first
Posted: Sun May 15, 2022 11:54 am
4. Consider a cascaded system where two LTI filters are connected in series, i.e. the input x[n] goes through the first filter, with the impulse response of h1[n], and y1[n] comes out, then yl[n] is the input to the second filter, with the impulse response of h2[n], and produces y2[n]. If the impulse resonses are h1[n] = {1, 0, 2} and h2[n] = {2, 1}, then reduce these two filters into a single filter with the impulse response of h[n]. Compute h[n].