1. Discuss the stability (asymptotic, marginal, and BIBO) of a Kth-order, causal, nonrecursive LTID system described by Eq. (5.4). 2. In Sec. 5.7.1, we showed that for BIBO stability in an LTID...

1. Discuss the stability (asymptotic, marginal, and BIBO) of a Kth-order, causal, nonrecursive LTID system described by Eq. (5.4).

2. In Sec. 5.7.1, we showed that for BIBO stability in an LTID system, it is sufficient for its impulse response to satisfy Eq. (5.36). Show that this is also a necessary condition for the system to be BIBO stable. In other words, show that if Eq. (5.36) is not satisfied, there exists a bounded input that produces unbounded output.