Given that x1(t) = ek1tu(t) and x2(t) = e-k2tu(t). Which one of the following gives their convolution?
A. $$\frac{{\left[ {{e^{{k_1}t}} - {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_1} + {k_2}} \right]}}$$
B. $$\frac{{\left[ {{e^{{k_1}t}} - {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_2} - {k_1}} \right]}}$$
C. $$\frac{{\left[ {{e^{{k_1}t}} + {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_2} + {k_1}} \right]}}$$
D. $$\frac{{\left[ {{e^{{k_1}t}} + {e^{ - {k_2}t}}} \right]}}{{\left[ {{k_2} - {k_1}} \right]}}$$
Answer: Option A
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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