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QUESTION: 1

If f(t) is an even function, then what is its fourier transform F (jω)?

Solution:

QUESTION: 2

If the fourier transform of f(t) is f(jω), then what is the fourier transform of f(-t) ?

Solution:

QUESTION: 3

The fourier transform of real value time signal has

Solution:

QUESTION: 4

The signal x(t) is a real and odd function of ‘t’ the x(ω) is

Solution:

QUESTION: 5

A linear system has the transfer function When it is subjected to an input white noise process with a constant spectral dencity ‘A’ the spectral density of the output will be

Solution:

QUESTION: 6

The auto -correlation of a wide sense stationary random process is given by e^{-2|τ|}. The peak valve of the spectral density is

Solution:

QUESTION: 7

Which one of the following is the correct fourier transform of the unit step signal?

u(t) = 1 for t __>__ 0

= 0 for t __<__ 0

Solution:

QUESTION: 8

The fourier transform of a conjugate symmetric function is always

Solution:

QUESTION: 9

The inverse fourier transform of sgn(f)

Solution:

then

∴

∴

QUESTION: 10

Fourier transform f(jω) of an arbitrary signal has the property

Solution:

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