While the log scale shows the relative importance of each frequency, if you're looking for where the "main action" is, the straight linear (no pun intended) scale is more useful.
I’m a high school math/engineering teacher. You my friend have inspired me with this great video. I have one too many colleagues that have hit the comfort zone in their career and they would never come out with something as detailed as this video. Keep up the good work and whether it be in 5, 10, 20 years…consider becoming a lecturer if you’re not already. It’s quite fulfilling and you could some amazing things.
What I can't figure is how this type of spectra is measured in a turbulent flow, This spectra is for a single point? If so, is this spectra representative of the whole flow turbulence?
You are right, if S(k) is the complex valued Fourier transform, then the power spectrum is P(k) = |S(k)|^2 (or just about, I recommend reading on the difference between energy spectral density and power spectral density for a more precise definition). Briefly, its called a power spectrum because it is a physical interpretation of this mathematical transformation: the average power of a measured signal is equal to the integral of the magnitude squared Fourier transform, and consequently the value of the spectrum at any frequency can be thought of as the power density at that frequency.
While the log scale shows the relative importance of each frequency, if you're looking for where the "main action" is, the straight linear (no pun intended) scale is more useful.
I’m a high school math/engineering teacher. You my friend have inspired me with this great video. I have one too many colleagues that have hit the comfort zone in their career and they would never come out with something as detailed as this video. Keep up the good work and whether it be in 5, 10, 20 years…consider becoming a lecturer if you’re not already. It’s quite fulfilling and you could some amazing things.
this is phenomenal! thanks for the log part!
What I can't figure is how this type of spectra is measured in a turbulent flow, This spectra is for a single point? If so, is this spectra representative of the whole flow turbulence?
Whats the difference of power and fft method? This extraction is same as fft result
The use of animation is amazing !
At 23sec he loses train of logic
ok
This only work in certain limited predetermined range by FCC but China or Russia system it would not work with this theory therefore it is useless
An amazing video! I was looking for something exactly like this! How did you make this animation?
Straight to the point, easy to understand, fantastic visuals. 12/10 👏👏👏
How can I know the sin waves that composite the signal? please answer me
Fourier Analysis.
It looks a simple Fourier Spectrum. Why do you call it "Power" Spectrum?
You are right, if S(k) is the complex valued Fourier transform, then the power spectrum is P(k) = |S(k)|^2 (or just about, I recommend reading on the difference between energy spectral density and power spectral density for a more precise definition). Briefly, its called a power spectrum because it is a physical interpretation of this mathematical transformation: the average power of a measured signal is equal to the integral of the magnitude squared Fourier transform, and consequently the value of the spectrum at any frequency can be thought of as the power density at that frequency.
Because different terminology exists between different fields (for better or worse).
Hi. Is power spectrum the same as spatial analysis or spectral analysis?
spectral
Excellent illustration, thanks!
I referenced your video in my undergrad research paper in case some readers needed to know this.
If heaven actually exists and you need to justify your entry, play them this video.
lol😂
Dude u a legend
The most efficient 40 secondes of my life ^^
Great! Then what would be the power spectral density? Thank you.
The terms "power spectrum" and "power spectral density" are often used interchangeably
this dude uploaded one epic video and disappeared
I would love to see more from this big brain guy.
Either the world wasn’t ready for this man or BigEducation felt threatened and had their way with him. Gotta keep tenure, you know
I hope he's OK.
good one
Now THIS is how you make an informative video. Straightforward, very clear, and makes great use of animations!
Dude, this is so good!