Reference no: EM13264935

Signals and Systems 2nd edition Oppenheim, we introduced a number of general properties of systems. In particular, a system may or may not be

1) Memoryless

2) Time invariant

3) Linear

4) Causal

5) Stable

Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) denotes the system output and x(t) is the system input.

a) y(t) = x(t-2) + x(2-t)

b) y(t) = cos(3*t)*x(t)

c) y(t) = integral(x(t)*dt,t,-infinity,2*t)

d) y(t) = ( 0 t< 0 , x(t) + x(t-2) t>=0 )

e) y(t) = ( 0 x(t)< 0 , x(t) + x(t-2) x(t)>=0 )

f) y(t) = x(t/3)

g) y(t) = d/dt*(x(t))