The z-transform of a system is H(z) =zz – 0·2If the ROC

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The z-transform of a system is
H(z) = z
z – 0·2

If the ROC is |z| < 0.2, then the impulse response of the system is—

1. (0.2)ⁿ u[n]
2. (0.2)ⁿ u[– n – 1]
3. – (0.2)ⁿ u[n]
4. – (0.2)ⁿ u[– n – 1]

Correct Option: D

Given

H(z) =	z	, \|z\| < 0·2
	z – 0·2

then
h(n) = – (0·2)ⁿ u[– n – 1]
Since, the given z-transform is left-hand sided.