GATE EE 2014 Set 1 | GATE EE Year Wise Previous Years Questions

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

-0.6

The function shown in the figure can be represented as GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 8 English

GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 8 English

$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-\left(\frac{t-2T}T\right)u\left(t-2T\right)$$

$$u\left(t\right)+\frac tTu\left(t-T\right)-\frac tTu\left(t-2T\right)$$

$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t\right)-\left(\frac{t-2T}T\right)u\left(t\right)$$

$$u\left(t\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-2\frac{\left(t-2T\right)}Tu\left(t-2T\right)$$

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

-0.3

x(t) is nonzero only for $$T_x\;<\;t\;<\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;<\;t\;<\;T_y^1$$ . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?

z(t) can be nonzero over an unbounded interval

z(t) is nonzero for $$t\;<\;T_x+T_y$$

z(t) is zero outside of $$T_x+T_y\;<\;t\;<\;T_x^1+T_y^1$$

z(t) is nonzero for $$t\;>\;T_x^1+T_y^1$$

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