3. [10 points] Choose all the correct statements: or a given LTI system, the out

Question

3. [10 points] Choose all the correct statements: or a given LTI system, the output y(t) can be decomposed into zero-input response v(t) and are independent each other. a. F zero-state response y.,,() . The zero-input response and zero-state response b. The output y(t) of an LTI system due to an input (t), calculated through the c. The BIBO stability of an LTI system can be determined if the system impulse response convolution integralh(t)x(t), is zero-state response of the system. h(t) is known d. The transfer function H (s)-h(r)e®dr can be used to analyze both linear and nonlinear systems e. The impulse response of an LTI system h(t) is a linear combination of the system characteristic modes.

Explanation / Answer

All are correct except option c because BIBO stability can also determine with known difference equation or input output relation. So, For BIBO stable needing only impulse is wrong statement.

So, options a, b d, e are correct.

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