If two LTI systems with impulse response h1 (t) and h2 (t) and are connected in parallel then output is given by ______

Electronics and Communication Engineering (ECE) : Signals and Systems - Quiz(MCQ)

y(t) = x(t) * (h1(t) h2(t))

y(t) = x(t) + (h1(t) + h2(t))

y(t) = x(t) *(h1(t) + h2(t))

y(t) = (x(t) * h1(t)) + h2(t)

Correct Answer : Option (C) : y(t) = x(t) *(h1(t) + h2(t))

Explanation : The equivalent impulse response of two systems connected in parallel is the sum of individual impulse responses. It is represented as
y(t) = x(t) * h1(t) + x(t) * h2(t) = x(t) * (h1(t) + h2(t)).

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