Determine whether each of the following statements concerninglti systems is true or false. justify your answers.
(a) if h(t) is the impulse response of an lti system and h(t)is periodic and non zero, then the system is unstable
(b) the inverse of a causal lti system is always causal
(c) if |h[n]| is less than or equal to k for each n, where kis a given number, then the lti system with h[n] as its impulseresponse is stable.
(d) if a discrete time lti system has an impulse response h[n]of finite duration, the system is stable
(e) if an lti system is causal then it is stable
(f) the cascade of a non causal lti system with a causal oneis necesssarily non causal
(g) a continuous time lti system is stable iff its stepresonse s(t) is absolutely integratable.
(h) a discrete time lti system is causal iff its step responses[n] is zero for n< 0