Two systems have impulse responses, h1[n] = (0.9)nu[n] and h2[n] = ?[n] ? (0.9)nu[n]. When these two systems are connected in parallel what is the response y[n] of the overall system to the excitation x[n] = u[n]?
What will be an ideal response?
y[n] = u[n]
When connected in parallel the overall system impulse response is the sum of the two individual system impulse responses which is h[n] = ?[n] . Therefore the response of the overall system to a unit sequence is the unit sequence and y[n] = u[n].
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