1
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
A signal x(t) has a Fourier transform X ($$\omega $$). If x(t) is a real and odd function of t, then X($$\omega $$) is
A
a real and even function of $$\omega $$
B
an imaginary and odd function of $$\omega $$
C
an imaginary and even function of $$\omega $$
D
a real and odd function of $$\omega $$
2
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
$$If\,\,L\left[ {f\left( t \right)} \right]\, = \,F\left( s \right),$$ then $$L\left[ {f\left( {t - T} \right)} \right]$$ is equal to
A
$${e^{sT}}F\left( s \right)\,$$
B
$${e^{ - sT}}\,F\left( s \right)\,\,$$
C
$${{F\left( s \right)} \over {1 + {e^{sT}}}}\,$$
D
$${{F\left( s \right)} \over {1 - {e^{ - sT}}}}$$
3
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
The z-transform F(z) of the function f(nT) = $${a^{nT}}$$ is
A
$${z \over {z - {a^T}}}$$
B
$${z \over {z + {a^T}}}$$
C
$${z \over {z - {a^{ - T}}}}$$
D
$${z \over {z + {a^{ - T}}}}$$
4
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
The z-transform of a signal is given by c(z)=$${1 \over 4}{{{z^{ - 1}}(1 - {z^{ - 4}})} \over {{{(1 - {z^{ - 1}})}^2}}}$$. Its final value is
A
1/4
B
zero
C
1.0
D
infinity
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12