1
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
In a BPSK signal detector, the local oscillator has a fixed phase error of 200. This phase error deteriorates the SNR at the output by a factor of
A
$$\cos {20^0}$$
B
$${\cos ^2}{20^0}$$
C
$$\cos {70^0}$$
D
$${\cos ^2}{70^0}$$
2
GATE ECE 1990
Subjective
+10
-0
A system is characterized by the following state-space equations: GATE ECE 1990 Control Systems - State Space Analysis Question 7 English

a) Find the transfer function of the system

b) Compute the state-transition matrix/p>

a) Solve the state equation for a unit-step input under zero initial conditions

3
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a simple RC network functioning as a controller is: $${G_c}(s) = {{s + {z_1}} \over {s + {p_1}}}$$

The condition for the RC network to act as a phase lead controller is:

A
$${p_1} < {z_1}$$
B
$${p_1} = 0$$
C
$${p_1} = {z_1}$$
D
$${p_1} > {z_1}$$
4
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
An electromechanical closed-loop control system has the following characteristic equation $$s^3+6Ks^2+\left(K+2\right)s+8\;=\;0$$, where K is the forward gain of the system.The condition for closed loop stability is
A
K = 0.528
B
K = 2
C
K = 0
D
K = -2.258
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