Question

2. Suppose $X(j\omega)$ is 1 for $-6 < \omega < 6$ and zero elsewhere. Let $x(t)$ and $X(j\omega)$ make a Fourier transform pair. (a) What is $x(t)$? (b) Sketch the Fourier transform of $x(t)\cos(10t)$. (c) Sketch the Fourier transform of $x(t)e^{-j10t}$.

          2. Suppose $X(j\omega)$ is 1 for $-6 < \omega < 6$ and zero elsewhere. Let $x(t)$ and $X(j\omega)$ make a Fourier transform pair.
(a) What is $x(t)$?
(b) Sketch the Fourier transform of $x(t)\cos(10t)$.
(c) Sketch the Fourier transform of $x(t)e^{-j10t}$.

2. Suppose X(jω) is 1 for -6 < ω < 6 and zero elsewhere. Let x(t) and X(jω) make a Fourier transform pair.
(a) What is x(t)?
(b) Sketch the Fourier transform of x(t)cos(10t).
(c) Sketch the Fourier transform of x(t)e^-j10t.

Added by Cheryl M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

08/01/2023

Step 1

Since x(jω) is a rectangular function in the frequency domain, x(t) will be a sinc function in the time domain. Show more…

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Suppose x(jomega ) is 1 for -6<omega <6 and zero elsewhere. Let x(t) and x(jomega ) make a Fourier transform pair. (a) What is x(t) ? (b) Sketch the Fourier transform of x(t)cos(10t). (c) Sketch the Fourier transform of x(t)e^(-j10t). 2. Suppose X(jw) is 1 for -6 < w < 6 and zero elsewhere. Let x(t) and X(jw) make a Fourier transform pair. (a) What is x(t)? (b) Sketch the Fourier transform of x(t) cos(10t)