Question

(a) $X(\omega) = 10\pi\delta \left(\omega - \frac{\pi}{4}\right) + 10\pi\delta \left(\omega + \frac{\pi}{4}\right)$. \\ $R/10 \cos\left(\frac{\pi}{4}k\right)$. \\ (b) $X(\omega) = \begin{cases} j & 0 < \omega < \pi \\ -j & -\pi < \omega < 0 \end{cases}$ \\ $R/ \frac{-1}{\pi} + \frac{\cos n\pi}{n\pi}$. \\ (c) $X(\omega) = 7e^{-j2\omega} + 4e^{-j\omega} + 6$ \\ $R/ \{6, 4, 7\}$.

          (a) $X(\omega) = 10\pi\delta \left(\omega - \frac{\pi}{4}\right) + 10\pi\delta \left(\omega + \frac{\pi}{4}\right)$. \\
$R/10 \cos\left(\frac{\pi}{4}k\right)$. \\
(b) $X(\omega) = \begin{cases} j & 0 < \omega < \pi \\ -j & -\pi < \omega < 0 \end{cases}$ \\
$R/ \frac{-1}{\pi} + \frac{\cos n\pi}{n\pi}$. \\
(c) $X(\omega) = 7e^{-j2\omega} + 4e^{-j\omega} + 6$ \\
$R/ \{6, 4, 7\}$.

Show more…

$(a) X(ω) = 10πδ(ω - (π)/(4)) + 10πδ(ω + (π)/(4)). R/10 cos((π)/(4)k). (b) X(ω) = j 0 < ω < π -j -π < ω < 0 R/ (-1)/(π) + (cos nπ)/(nπ). (c) X(ω) = 7e^-j2ω + 4e^-jω + 6 R/ {6, 4, 7}.$

Added by Laura H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

02/27/2023

Step 1

Aliasing occurs when the sampling frequency is not high enough to accurately represent the original signal. To avoid aliasing, the sampling frequency must be at least twice the maximum frequency component of the signal. Show more…

Show all steps

lock

Thanks for your feedback!

Texts: 1. Determine the frequency at which the signal must be sampled xt = cos(2πt) sin(5πt) to ensure that aliasing does not occur. 2. If a signal can be sampled at a rate of 250 samples per second, what is the maximum frequency that the signal can contain to be reconstructed unambiguously? 3. Given the following expression X(ω), which was obtained by transforming discrete-time Fourier of x(n), determine the corresponding signal x(n). 4. Determine DFT({cos πk}). 5. Determine the discrete inverse Fourier transform of X(k) = {1, 2, 3, 2}, with N = 4. (a) X(w) = 10T&(w-) + 10T&(w+). R/10cos(k) I>3>0 -J 0>m>- R/ ni+ cosnr. nT 9+ ml_2+ mzl_2L = (m)X (O). R/{6, 4, 7}.

Play audio

Feedback

Powered by NumerAI

Sri K and 57 other subject Physics 102 Electricity and Magnetism educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later