GATE ECE 2003 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

A DSB-SC signal is to be generated with a carrier frequency f_c = 1MHz using a nonlinear device with the input-output characteristic $$v_0=a_0v_i\;+\;a_1v_i^3$$.where a₀ and a₁ are constants. The output of the nonlinear device can be filtered by an appropriate band-pass filter. Let $$v_0=A_c'\;\cos\left(2{\mathrm{πf}}_\mathrm c'\mathrm t\right)\;+\;m\left(t\right)$$ where m(t) is the message signal. Then the value of $$f_c'$$ (in MHz) is

1.0

0.333

0.5

3.0

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

The signal flow graph of a system is shown in figure. The transfer function $$\frac{C(s)}{R(s)}$$ of the system is GATE ECE 2003 Control Systems - Signal Flow Graph and Block Diagram Question 16 English

GATE ECE 2003 Control Systems - Signal Flow Graph and Block Diagram Question 16 English

$$\frac{6}{s^2+29s+6}$$

$$\frac{6s}{s^2+29s+6}$$

$$\frac{s(s+2)}{s^2+29s+6}$$

$$\frac{s(s+27)}{s^2+29s+6}$$

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the system should be

4 e^{$$j4\pi f$$}

2 e^{$$-j8\pi f$$}

4 e^{$$-j4\pi f$$}

2 e^{$$j8\pi f$$}

GATE ECE 2003

MCQ (Single Correct Answer)

-0.6

The approximate Bode magnitude plot of a minimum-phase system is shown in figure. The transfer function of the system is GATE ECE 2003 Control Systems - Frequency Response Analysis Question 38 English

GATE ECE 2003 Control Systems - Frequency Response Analysis Question 38 English

$${10^8}{{{{\left( {s + 0.1} \right)}^3}} \over {{{\left( {s + 10} \right)}^2}\left( {s + 100} \right)}}$$

$${10^7}{{{{\left( {s + 0.1} \right)}^3}} \over {{{\left( {s + 10} \right)}}\left( {s + 100} \right)}}$$

$${10^8}{{{{\left( {s + 0.1} \right)}^2}} \over {{{\left( {s + 10} \right)}^2}\left( {s + 100} \right)}}$$

$${10^9}{{{{\left( {s + 0.1} \right)}^3}} \over {\left( {s + 10} \right){{\left( {s + 100} \right)}^2}}}$$

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