1
GATE EE 2015 Set 1
+2
-0.6
Consider a discrete time signal given by
x[n]=(-0.25)nu[n]+(0.5)nu[-n-1]
The region of convergence of its Z-transform would be
A
the region inside the circle of radius 0.5 and centered at origin.
B
the region outside the circle of radius 0.25 and centered at origin.
C
the annular region between the two circles, both centered at origin and having radii 0.25 and 0.5.
D
the entire Z plane.
2
GATE EE 2014 Set 1
+2
-0.6
Let $$X\left(z\right)=\frac1{1-z^{-3}}$$ be the Z–transform of a causal signal x[n]. Then, the values of x and x are
A
0 and 0
B
0 and 1
C
1 and 0
D
1 and 1
3
GATE EE 2014 Set 2
+2
-0.6
A discrete system is represented by the difference equation $$\begin{bmatrix}X_1\left(k+1\right)\\X_2\left(k+2\right)\end{bmatrix}=\begin{bmatrix}a&a-1\\a+1&a\end{bmatrix}\begin{bmatrix}X_1\left(k\right)\\X_2\left(k\right)\end{bmatrix}$$\$ It has initial condition $$X_1\left(0\right)=1;\;X_2\left(0\right)=0$$. The pole location of the system for a = 1, are
A
$$1\pm j0$$
B
$$-1\pm j0$$
C
$$\pm1+j0$$
D
$$0\pm j1$$
4
GATE EE 2008
+2
-0.6
Given X(z)=$$\frac z{\left(z-a\right)^2}$$ with $$\left|z\right|$$ > a, the residue of X(z)zn-1 at z = a for n $$\geq$$ 0 will be
A
an-1
B
an
C
nan
D
nan-1
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
EXAM MAP
Joint Entrance Examination