Signals and Systems

EXERCISES

 

Q1. For each of the following signals

(i) x(t) = e^–3t (ii) x(t) = 3 e^j5πt and (iii) x(t) = u(t+ 1)

Verify the following:

1. Causal or non-causal
2. Even or odd
3. Periodic or non-periodic
4. Energy or power signal
5. Continuous or piecewise continuous
6. Deterministic or random

[Ans.(i) (a) Non-causal, (b) Neither even nor odd, (c) Non-Periodic, (d) Neither energy nor power, (e) Continuous signal, (f) Deterministic signal (ii) (a) Non-Causal, (b) Neither even nor odd, (c) Periodic, (d) Power signal, (e) Continuous, (f) Deterministic signal. (iii) (a) Non-Causal, (b) Neither even nor odd, (c) Non-Periodic, (d) Power signal, (e) Piecewise continuous signal, (f) Deterministic signal]

Q2. Determine whether the system is (a) Linear, (b) Causal, (c) Dynamic ...