1.27. In this chapter, we introduced a number of general properties of systems. In partic- 1.27. (a)

1.27. In this chapter, we introduced a number of general properties of systems. In partic- 1.27. (a) Linear, stable ular, a system may or may not be (1) Memoryless (2) Time invariant (3) Linear (4) Causal (5) Stable Determine which of these properties following continuous-time systems. Justify your answers. In each example, y(r) de- notes the system output and x(t) is the system input. (b) Memoryless, linear, causal, stable (c) Linear (d) Linear, causal, stable (e) Time invariant, linear, causal, stable. (f) Linear, stable. (g) Time invariant, linear, causal. hold and which do not hold for each of the 62 Signals and Systems Chap. 1 (a) y(t) x(t-2) + x(2-t) (b) y(t)-[cos(3)x(t) 0, t

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