MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

A signal xt h...

Question

A signal x(t) has a Fourier transform X $(ω)$ . If x (t) is a real and odd function of t, then X $(ω)$ is

Open in App

Solution

Example: Asin $ω_{0} t = x (t)$

(Real and Odd function)

$X (ω) = A j π [δ (ω + ω_{o}) - δ (ω - ω_{o})]$

(imaginary and odd function of $ω$ )

Suggest Corrections

thumbs-up

1

Similar questions

Q. A signal x(t) has Fourier transform of

X (ω)

. Which of the following is the Fourier transform of y(t) = x(-3t -4) in terms of

X (ω)

Q. The real vlaued continuous time function x(t) has Fourier transform

X (ω)

A signal y(t) has Fourier transform

Y (ω)

, the magnitude response of

Y (ω)

is same as that of magnitude response of

X (ω)

, but phase response of

Y (ω)

Then relationship between y(t) and x(t ) is

Q. A signal x(t) having Fourier transform X

(ω)

X (ω)

\frac{1}{(2 + j ω)^{2}}

, another signal y(t) having Fourier transform

Y (ω)

y (t) = \frac{16}{t} x (t) .

Then value of Y(2) is_____

Q. Consider the signal x(t) =

⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} e^{- t}, t \geq 0 0, t < 0 \end{matrix}

x (ω

) denote the Fourier transform of this signal.
The integral

\frac{1}{2 π} \infty \int - \infty X (ω) d ω

Q. Let x(t) be a signal with Fourier transform

X (ω)

. Meeting following conditions

1.

x (t)

x (t) = 0 f o r t \leq 0

\frac{1}{2 π} \int_{- \infty}^{\infty}

R e {X (ω)}

e^{j ω t} d ω = | t | e^{- | t |}

Re{p} means real part of complex quantity p. The expression for x(t) is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Some Functions and Their Graphs

Watch in App

Join BYJU'S Learning Program

CrossIcon