(ELI5) What is the Gibb's Phenomenon and how does it work?

I asked one of my electrical engineer friends about it and all he said was that it was "natures way of dealing with theoretical models that rely on infinity". Can someone demystify the Gibb's Phenomenon for me? I would appreciate it.

Also, I've read that the phenomenon is also responsible for subtractive EQ moves causing boosts in other frequencies. For example, if you normalize or limit something like pink noise to 0dB, and then apply a subtractive EQ cut after the limiter in the signal chain, the gain will increase. Could someone explain this as well? Thank you!

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ELI5:What is Gibbs Phenomenon

Can someone please explain to me Gibbs Phenomenon barney style. thank you.

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πŸ‘€︎ u/CombatJelly
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DAC Volume at 100% and Gibbs Phenomenon Question

Always and forever I hear people recommend setting your external DAC to 100% in Windows for "bit-perfect" sound or whatever. I've always subscribed to this logic as well and it makes sense.

I've never really seen or heard a counter-opinion to this except for in our own wiki

On page 13, it briefly talks about Gibbs phenomenon and why you shouldn't set your DAC at 100%, but rather just below to reduce THD+N. A brief excerpt

>Gibbs phenomenon, and why you should not run your PC at 100% volume - Gibbs phenomenon Gibbs phenomenon affects all Digital Audio Converters (DACs), which as you have read is a device which converts digital data to analog, whether it be built in to your PC, or even an external DAC. Even one click (1% windows volume) is sufficient to prevent this. Let’s take a look at what these optimal settings will look like on a Windows 7 machine. I have chosen 98% to prevent the aforementioned phenomenon. According to JDS Labs testing β€œEvery DAC we've measured performs dramatically worse at full-scale, 100% volume. Decrease your software volume slider by -0.1dB (a single notch will do) for optimal THD+N performance.”

Can anyone expand on this? What are the consequences, does it really matter on modern DACs...etc?

I also found this discussion from a couple months ago that implies this is maybe incorrect? https://www.reddit.com/r/headphones/comments/3905de/can_we_talk_about_gibbs_phenomenon/

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[Partial Differential Calculus/Advanced Calculus] Gibb's Phenomenon regarding Fourier Series?

Please help...so confused as to what is it. Read through my calc text book and i can't wrap my head around what it means to overshoot at a jump continuity and doesn't die out.
Been stuck on this for a few hours. Thanks in advance! help me math wizards...my gpa is at stake here TT.TT

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Gibbs Phenomenon - missing step in analysis [Trig.]

Hi there, I'm working on a Fourier Series piece of work and I'm having trouble figuring out a key step

If anybody could shed a bit more insight on this I'd be very grateful :)

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Additive synthesis of a square wave, illustrating Fourier series expansion and Gibbs phenomenon.
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Does this graph from the WKB method make sense?

I have an electron in a gaussian well so the energy ends up being

V(r) = -5e^(-r^2/2)

I did the wkb approximation and got 14 energy levels, I took the 7th one to see what it looked like and wound up with this. (something to note is I'm working in nanometers and r^2 is being divided by r_0^2=1nm^2. Also, the reduced plank constant was divided by 10^(-18) to match units)

Does this answer make sense? The peak at the turning point makes me kinda worried. Thanks in advance!

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