GATE ECE 2004 | Discrete Time Signal Z Transform Question 28 | Signals and Systems

The z transform of a system is
H(z) = $${z \over {z - 0.2}}$$ .
If the ROC is $$\left| {z\,} \right|$$ < 0.2, then the impulse response of the system is

$${(0.2)^n}\,u\left[ n \right]$$

$${(0.2)^n}\,u\left[ { - n - 1} \right]$$

$$ - {(0.2)^n}\,u\left[ n \right]$$

$$ - {(0.2)^n}\,u\left[ { - n - 1} \right]$$

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

The region of convergence of the z- transform of a unit step function is

$$\left| {z\,} \right| > 1$$

$$\left| {z\,} \right| < 1$$

(Real part of z )> 0

(Real part of z )< 0

GATE ECE 1999

MCQ (Single Correct Answer)

-0.3

The z-transform F(z) of the function f(nT) = $${a^{nT}}$$ is

$${z \over {z - {a^T}}}$$

$${z \over {z + {a^T}}}$$

$${z \over {z - {a^{ - T}}}}$$

$${z \over {z + {a^{ - T}}}}$$

GATE ECE 1998

MCQ (Single Correct Answer)

-0.3

The z - transform of the time function $$\sum\limits_{k = 0}^\infty {\delta \left( {n - k} \right)} $$ is

$$(z - 1)/z$$

$$z/{(z - 1)^2}$$

$$z/(z - 1)$$

$${(z - 1)^2}/z$$

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