Q4. A linear time-invariant system is described by a linear constant-coefficient difference equation with initial rest conditions. The output when is input is the unit step is called step response and is given by the formula: yln] = [$)" – (-)"1 u[n – 2] (a) Find a formula for the impulse response of the system. (b) Determine the difference equation of the system. (c) Determine an input so that the output would be the unit-step signal.

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Q4. A linear time-invariant system is described by a linear constant-coefficient difference
equation with initial rest conditions. The output when is input is the unit step is called
step response and is given by the formula:
yln] = [$" - (-)"1 un – 2]
(a) Find a formula for the impulse response of the system.
(b) Determine the difference equation of the system.
(c) Determine an input so that the output would be the unit-step signal.
Transcribed Image Text:Q4. A linear time-invariant system is described by a linear constant-coefficient difference equation with initial rest conditions. The output when is input is the unit step is called step response and is given by the formula: yln] = [$" - (-)"1 un – 2] (a) Find a formula for the impulse response of the system. (b) Determine the difference equation of the system. (c) Determine an input so that the output would be the unit-step signal.
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