Question

Signals and Systems

1. A continuous time system is given inputs x1(t), r2 (t), and x3(t), from which the outputs yi (t), y2(t), and y3( arise, respectively, where 1(t)u(t) u(t-1) i(t)2u(t) -e20-u(t - 1) 2(t)u(t) - u(t- 3 T3 0 otherwise sin(5t) te,1 y3(t) 0 otherwise e-5t (u(t)-a(t-1)) ya(t) = (a) Is this system causal? Prove your answer. (b) Is this system linear? Prove your answer. c) Is this system time-invariant? Prove your answer.

Answer 1

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