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Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

1. product of h1(t) and h2(t)
2. sum of h1(t) and h2(t)
3. convolution of h1(t) and h2(t)
4. subtraction of h2(t) from h1(t)

Correct answer: convolution of h1(t) and h2(t)

Solution

When two linear time-invariant systems are connected in cascade, the overall impulse response is determined by the convolution of their individual impulse responses, which mathematically combines their effects on an input signal.

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