GATE ECE 2013 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2013

MCQ (Single Correct Answer)

-0.6

Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. GATE ECE 2013 Communications - Random Signals and Noise Question 37 English

GATE ECE 2013 Communications - Random Signals and Noise Question 37 English

The optimum threshold to achieve minimum bit error rate (BER) is

$${1 \over 2}$$

$${4 \over 5}$$

$${3 \over 2}$$

GATE ECE 2013

MCQ (Single Correct Answer)

-0.6

Let U and V be two independent zero mean Gaussian random variables of variances $${{1 \over 4}}$$ and $${{1 \over 9}}$$ respectively. The probability $$P(\,3V\, \ge \,\,2U)$$ is

4/9

1/2

2/3

5/9

GATE ECE 2013

MCQ (Single Correct Answer)

-0.6

The signal flow graph for a system is given below. The transfer function $$\frac{Y(s)}{U(s)}$$ for this system is GATE ECE 2013 Control Systems - Signal Flow Graph and Block Diagram Question 14 English

GATE ECE 2013 Control Systems - Signal Flow Graph and Block Diagram Question 14 English

$$\frac{s+1}{5s^2+6s+2}$$

$$\frac{s+1}{s^2+6s+2}$$

$$\frac{s+1}{s^2+4s+2}$$

$$\frac{1}{5s^2+6s+2}$$

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

All the poles of the system must lie on the left side of the jω axis

Zeros of the system can lie anywhere in the s-plane

All the poles must lie within $$\left|s\right|\;=\;1$$

All the roots of the characteristic equation must be located on the left side of the jω axis

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