GATE ECE 2006 | Fourier Transform Question 14 | Signals and Systems

Let x(t) $$ \leftrightarrow $$ X($$(j\omega )$$ BE Fourier transform pair. The Fourier Transform of the signal x(5t - 3) in terms of X($$(j\omega )$$ is given as

$${1 \over 5}{e^{ - {{j3\omega } \over 5}}}X\left( {{{j\omega } \over 5}} \right)$$

$${1 \over 5}{e^{{{j3\omega } \over 5}}}X\left( {{{j\omega } \over 5}} \right)$$

$${1 \over 5}{e^{ - j3\omega }}X\left( {{{j\omega } \over 5}} \right)$$

$${1 \over 5}{e^{j3\omega }}X\left( {{{j\omega } \over 5}} \right)$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.3

The Fourier transform of a conjugate symmetric function is always

imaginary

conjugate anti-symmetric

real

conjugate symmetric

GATE ECE 2002

MCQ (Single Correct Answer)

-0.3

The Fourier transform F $$\left\{ {{e^{ - t}}u(t)} \right\}$$ is equal to $${1 \over {1 + j2\pi f}}$$. Therefore, $$F\left\{ {{1 \over {1 + j2\pi t}}} \right\}$$ is

$${e^f}u(f)$$

$${e^{ - f}}$$ u(f)

$${e^f}u(f)$$

$${e^{ - f}}$$u(-f)

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

If a signal f(t) has energy E, the energy of the signal f(2t) is equal to

E/2

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GATE ECE Subjects

Signals and Systems

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics