GATE EE 2021 | GATE EE Year Wise Previous Years Questions

GATE EE 2021

Numerical

-0

Consider a continuous time signal $x(t)$ defined by $x(t)=0$ for $|t|>1$ and $x(t)=1-|t|$ for $|t| \leq 1$ Let the Fourier transform of $x(t)$ be defined as $X(\omega)=\int_{-\infty}^{\infty} x(t) e^{-j \omega t} d t$. The maximum magnitude of $X(\omega)$ is $\_\_\_\_$ .

Your input ____

GATE EE 2021

MCQ (Single Correct Answer)

-0.33

If the input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\max [0, x(t)]$, then the system is

Linear and time-variant

Linear and time-invariant

Non-linear and time-variant

Non-linear and time-invariant

GATE EE 2021

MCQ (Single Correct Answer)

-0.33

Two discrete-time linear time-invariant systems with impulse responses $h_1\lfloor n\rfloor=\delta\lfloor n-1\rfloor+\delta\lfloor n+1\rfloor$ and $h_2[n]=\delta[n]+\delta[n-1]$ are connected in cascade. Where $\delta[n]$ in the Kronecker delta. The impulse response of the cascade system

$\delta[n-2]+\delta[n+1]$

$\delta[n-1] \delta[n]+\delta[n+1] \delta[n-1]$

$\delta[n-2]+\delta[n-1]+\delta[n]+\delta[n+1]$

$\delta[n] \delta[n-1]+\delta[n-2] \delta[n+1]$

GATE EE 2021

MCQ (Single Correct Answer)

-0.33

For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is

396

324

216

144

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