# 1. Show that an ideal integrator is an LTI system. 2. Obtain the impulse response and the transfer..

1. Show that an ideal integrator is an LTI system. 2. Obtain the impulse response and the transfer function H( f ) of the following system. Plot its magnitude response. 3. Find the impulse responses of the systems given in Problems 2(a) and 2(b). 4. The input x(t) and the corresponding output y(t) of a causal LTI system T are as shown in Fig. P-3.2. Find the impulse response function h(t) of the system. 5. When the input to an LTI system is a unit step function, the output is a bounded signal. Which of the following inferences is correct? (a) The system is not necessarily stable. (b) The

1. Show that an ideal integrator is an LTI system. 2. Obtain the impulse response and the transfer function H( f ) of the following system. Plot its magnitude response. 3. Find the impulse responses of the systems given in Problems 2(a) and 2(b). 4. The input x(t) and the corresponding output y(t) of a causal LTI system T are as shown in Fig. P-3.2. Find the impulse response function h(t) of the system. 5. When the input to an LTI system is a unit step function, the output is a bounded signal. Which of the following inferences is correct? (a) The system is not necessarily stable. (b) The system is not definitely stable. (c) The system is definitely unstable. (d) None of the above.

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