Problem 4. Consider two waveforms yo[n] and 1 [n] and two waveform o[n] and ₁ [n] in £²(Z). Let ho[n] and

h₁ [n] be two filters such that ho[n] = [n] and h₁ [n] = ₁ [n], and go[n] and g₁ [n] two filters such that

go [n] = o[n] and gi[n] = ₁ [n].