1
GATE ECE 2014 Set 3
Numerical
+2
-0
In a PCA system, the signal $$m(t) = \{ \sin (100\,\pi \,t)\, + \cos (100\,\pi \,t\} $$ V is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size 0.75 V. The minimum data rate of the PCM system in bits per second is________________
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2
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider an FM signal $$f\left(t\right)\;=\;\cos\left[2{\mathrm{πf}}_\mathrm c\mathrm t\;+\;{\mathrm\beta}_1\sin\;2{\mathrm{πf}}_1\mathrm t\;+\;{\mathrm\beta}_2\sin\;2{\mathrm{πf}}_2\mathrm t\right]$$ . The maximum deviation of the instantaneous frequency from the carrier frequency fc is
A
$$\beta_1f_1+\;\beta_2f_2$$
B
$$\beta_1f_2+\;\beta_2f_1$$
C
$$\beta_1+\;\beta_2$$
D
$$f_1+\;f_2$$
3
GATE ECE 2014 Set 3
Numerical
+1
-0
The input $$-3\mathrm e^{2\mathrm t}\;\mathrm u\left(\mathrm t\right)$$, where u(t) is the unit step function, is applied to a system with transfer function $$\frac{s-2}{s+3}$$. If the initial value of the output is -2, then the value of the output at steady state is __________.
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4
GATE ECE 2014 Set 3
Numerical
+2
-0
The steady state error of the system shown in the figure for a unit step input is _______. GATE ECE 2014 Set 3 Control Systems - Time Response Analysis Question 35 English
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