1
GATE ECE 1997
MCQ (More than One Correct Answer)
+2
-0.6
In the circuil of Fig. the equivalent impedance seen across terminals A. B is
A
(16/3) $$\Omega$$
B
(8/3) $$\Omega$$
C
(8/3 + 12 j ) $$\Omega$$
D
None of the above
2
GATE ECE 1997
+1
-0.3
The function f(t) has the Fourier Transform g($$\omega$$). The Fourier Transform of $$g(t) = \left( {\int\limits_{ - \infty }^\infty {g(t){e^{ - j\omega t}}} } \right)\,is$$\$
A
$${1 \over {2\pi }}f(\omega )$$
B
$${1 \over {2\pi }}f( - \omega )$$
C
$$2\pi \,f( - \omega )$$
D
none of the above
3
GATE ECE 1997
+2
-0.6
The power spectral density of a deterministic signal is given by $${\left[ {\sin (f)/f} \right]^2}$$, where 'f' is frequency. The autocorrelation function of this signal in the time domain is
A
a rectangular pulse
B
a delta function
C
a sine pulse
D
a triangular pulse
4
GATE ECE 1997
+2
-0.6
If the Fourier Transfrom of a deterministic signal g(t) is G (f), then

Item-1
(1) The Fourier transform of g (t - 2) is
(2) The Fourier transform of g (t/2) is

Item - 2
(A) G(f) $$e^{-j\left(4\mathrm{πf}\right)}$$
(B) G(2f)
(C) 2G(2f)
(D) G(f-2)

Match each of the items 1, 2 on the left with the most appropriate item A, B, C or D on the right.
A
(1 - A), (2 - C)
B
(I - B), (2 - C)
C
(1 - D), (2 - C)
D
(1 - A), (2 - D)
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