Consider an unknown causal discrete-tima LTI system h(n) as shown in Figure 1(a). If an input x[n] is applied to the system, its responsa y[n] is available in terms of pole-zero map. An input signal x[n] = -E) u[n] -2"u[-n - 1] is appliad to this system and the system response y[n] for the input x[n] is shown in figure 1(b). Determine the impulse response of the system. Also, comment an the stability of the causal LTI system. x[n] LTI ayatem h[n] Figure 1(a) 2 zeroe 2 -0.5 O representa the zero X representa the pole Figure 1(0)

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Consider an unknown causal discrete-tima LTI system h(n) as shown in Figure 1(a). If an input
x[n] is applied to the system, its responsa y[n] is available in terms of pole-zero map. An input
signal x[n] = -E) u[n] -2"u[-n - 1] is appliad to this system and the system
responsa y(n] for the input x[n] is shown in figure 1(b). Determine the impulse response of
the system. Also, comment an the stability of the causal LTI system.
x[n]
LTI ayatem
h[n]
Figure 1(a)
2 zeroe
2
-0.5
O representa the zero
X representa the pole
Figure 1(0)
Transcribed Image Text:Consider an unknown causal discrete-tima LTI system h(n) as shown in Figure 1(a). If an input x[n] is applied to the system, its responsa y[n] is available in terms of pole-zero map. An input signal x[n] = -E) u[n] -2"u[-n - 1] is appliad to this system and the system responsa y(n] for the input x[n] is shown in figure 1(b). Determine the impulse response of the system. Also, comment an the stability of the causal LTI system. x[n] LTI ayatem h[n] Figure 1(a) 2 zeroe 2 -0.5 O representa the zero X representa the pole Figure 1(0)
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