GATE EE 2023 | Continuous and Discrete Time Signals Question 6 | Signals and Systems

GATE EE 2023

Numerical

-0

The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the nearest integer).

$$x[n] = 1 + 3\sin \left( {{{15\pi } \over 8}n + {{3\pi } \over 4}} \right) - 5\sin \left( {{\pi \over 3}n - {\pi \over 4}} \right)$$

Your input ____

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 2007

MCQ (Single Correct Answer)

-0.6

If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution, then the function u(t+1)*r(t-2) is given by

(1/2)(t-1)(t-2)

(1/2)(t-1)²u(t-1)

none of the above

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