1
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+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[2] and x[3] are
A
0 and 0
B
0 and 1
C
1 and 0
D
1 and 1
2
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
x(t) is nonzero only for $$T_x\;<\;t\;<\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;<\;t\;<\;T_y^1$$ . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?
A
z(t) can be nonzero over an unbounded interval
B
z(t) is nonzero for $$t\;<\;T_x+T_y$$
C
z(t) is zero outside of $$T_x+T_y\;<\;t\;<\;T_x^1+T_y^1$$
D
z(t) is nonzero for $$t\;>\;T_x^1+T_y^1$$