(a) Consider a system with impulse response given by h(t) = 3 x {u(t) – u(t – 2)}. An input signal x(t) = -2 x {u(t) – u(t – 3)} is applied to the system to produce the output y(t). (i) Sketch the waveforms of x(t) and h(t), respectively. (ii) Determine the system properties in terms of memory, causality and stability. (iii) Sketch the waveform of the output signal y(t).

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(a) Consider a system with impulse response given by
h(t) = 3 x {u(t) – u(t – 2)}.
An input signal x(t) = -2 x {u(t) – u(t – 3)} is applied to the system to
produce the output y(t).
(i)
Sketch the waveforms of x(t) and h(t), respectively.
(ii) Determine the system properties in terms of memory, causality and stability.
(iii) Sketch the waveform of the output signal y(t).
Transcribed Image Text:(a) Consider a system with impulse response given by h(t) = 3 x {u(t) – u(t – 2)}. An input signal x(t) = -2 x {u(t) – u(t – 3)} is applied to the system to produce the output y(t). (i) Sketch the waveforms of x(t) and h(t), respectively. (ii) Determine the system properties in terms of memory, causality and stability. (iii) Sketch the waveform of the output signal y(t).
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