1
GATE ECE 1992
MCQ (Single Correct Answer)
+2
-0.6
If G(f) represents the Fourier transform of a signal g (t) which is real and odd symmetric in time, then
A
G(t) is complex
B
G(t) is imaginary
C
G(t) is real
D
G(t) is real and non- negative
2
GATE ECE 1992
MCQ (Single Correct Answer)
+2
-0.6
A linear discrete - time system has the characteristic equation, $${z^3} - 0.81\,\,z = 0.$$ The system
A
is stable.
B
is marginally stable.
C
is unstable.
D
stability cannot be assessed from the given information.
3
GATE ECE 1992
Subjective
+4
-0
A low pass signal x(t) has a spectrum given by $$X(f) = \left\{ {\matrix{ {1 - \left| f \right|/2000,} & {for\,\,\left| f \right|\, \le \,2000\,Hz} \cr {0,} & {elsewhere} \cr } } \right.$$
Assuming that x(t) is ideally sampled at a sampling frequency of 3 kHz, sketch
(i) x(f), and
(ii) the spectrum of the sampled signal for $${\,\left| f \right|\, \le \,\,3\,kHz}$$.
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