A linear system relates its input, x[n], to its output, y[n], through the expression: y[n] = ay[n – 1] - ky[n – 2] + e[n

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A linear system relates its input, x[n], to its output, y[n], through the expression: y[n] = ay[n – 1] - ky[n – 2] + e[n

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A Linear System Relates Its Input X N To Its Output Y N Through The Expression Y N Ay N 1 Ky N 2 E N 1
A Linear System Relates Its Input X N To Its Output Y N Through The Expression Y N Ay N 1 Ky N 2 E N 1 (30 KiB) Viewed 23 times
A linear system relates its input, x[n], to its output, y[n], through the expression: y[n] = ay[n – 1] - ky[n – 2] + e[n] - 4rn – 1] (i) State, with justification, whether this system is causal or non-causal. (1) (ii) Find the transfer function for this system and discuss for what values of a the system is stable. (3) (iii) For a = 1 find the final value of the system for the unit step input. (1) (iv) If a = /, find the impulse response h[n], using Z-transform analysis. (3)
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