Produce a sketch of the magnitude fourier spectrum describing band-limited white noise with a magnitude of 15 m/s2 and a frequency bandwidth of 1 Hz to 50 Hz superimposed with a harmonic of 50 m/s2 at 35 Hz.
Added by Di H.
Step 1
First, we need to create a sketch of the magnitude Fourier spectrum. The x-axis will represent the frequency (in Hz), and the y-axis will represent the magnitude (in m/s²). Show more…
Show all steps
Your feedback will help us improve your experience
Hubert Agamasu and 100 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Give the Fourier coefficients $a_{0}, a_{n},$ and $b_{n}$ of the waveform in Fig. $16.47 .$ Plot the amplitude and phase spectra.
Find the Fourier series expansion of the backward sawtooth waveform of Fig. $16.48 .$ Obtain the amplitude and phase spectra.
Write an expression for the transform $A(\omega)$ of the harmonic pulse of Fig. $P .7 .54 .$ Check that sinc $u$ is $50 \%$ or greater for values of $u$ roughly less than $\pi / 2 .$ With that in mind, show that $\Delta v \Delta t \approx 1$, where $\Delta v$ is the bandwidth of the transform at half its maximum amplitude. Verify that $\Delta v \Delta t \approx 1$ at half the maximum value of the power spectrum as well. The purpose here is to get some sense of the kind of approximations used in the discussion.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Watch the video solution with this free unlock.
EMAIL
PASSWORD