Chapter 1 Problems solution 1. 27 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. a)y()=x(-2)+x(2-t) Linear, Time-varying, with memory, not causal, stable (b)y()=(cos 3t)x() Linear, Time-varying, memoryless, causal, stable ()y()= Linear, Time-varying, with memory, not causal, not stableChapter 1 Problems Solution 1.27 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. (a). y(t)= x(t −2)+ x(2−t) Linear , Time-varying , with memory , not causal , stable (b) y(t) = (cos3t)x(t) Linear , Time-varying , memoryless , causal , stable ( ) y(t) x( )d t − = 2 c Linear , Time-varying , with memory , not causal , not stable