1
GATE ECE 1997
Subjective
+5
-0
Consider the circuit given in fig. using an ideal operational Amplifier.

The characteristics of the diode are given by the relation I = Is $$\left[ {{e^{{{qV} \over {KT}}}} - 1} \right],$$

Where V is the forward voltage across the diode
(a)Express V0 as a function of Vi assuming Vi> 0.
(b)If R = 100K$$\Omega$$ , Is = 1$$\mu$$A and $${{KT} \over q}\,\, = \,\,25mV$$

2
GATE ECE 1997
+1
-0.3
The line code that has zero dc component for pulse transmission of random binary data is
A
B
C
Alternate Mark Inversion (AMI)
D
None of the above.
3
GATE ECE 1997
+1
-0.3
A deterministic signal has the power spectrum given in figure. The minimum sampling rate needed to completely represent this signal is
A
1 KHz
B
2 KHz
C
3 KHz
D
None of the above
4
GATE ECE 1997
+1
-0.3
A probability density function is given by $$p(x) = \,K\,\,\exp \,\,( - \,{x^2}/2),\,\, - \,\infty \, < \,x < \,\infty$$.

The value of K should be

A
$$1/\sqrt {2\,\pi }$$
B
$$\sqrt {2\,/\pi }$$
C
$$1/2\sqrt \pi$$
D
$$1/\pi \sqrt 2$$
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