True or False

If False explain why

a) b) c) d) e) The impulse response h(t) of a system is the response of the system to the input signal x(t)-u(t). If the system is linear and time invariant (LTI) and does not have memory, h(t)-6(t) For an LTI system to be BIBO stable. J-00h(t)ldt has to be finite (bounded) A causal LTI system has h(t) with nonzero values for negative time The output of a system is the convolution of any input signal x(t) and its impulse response h(t) only if the system is LTI. f) The impulse response of two LTI systems in a cascade configuration is the product of their individual g) The impulse response of two LTI systems in a parallel configuration is the convolution of their individual h) Eigenfunctions or basis functions (signals) are input signals that they propagate through an LTI system impulse responses responses. without change of their shape, that is, possibly delayed and attenuated/amplified (but their shape remain the same). An example of such a signal is the general complex exponential signal of angular frequency co, amplitude A, and initial phase , that is: AeHwot+P)