Some things can not be made simpler than:
. . . "You should make things as simple as possible, but no simpler" - Albert Einstien
He knew that breaking somethings down to less than their component parts simply (pun) makes them fall apart.
I tried to make my discussion as simple as I could.
. . . "You should make things as simple as possible, but no simpler" - Albert Einstien
He knew that breaking somethings down to less than their component parts simply (pun) makes them fall apart.
I tried to make my discussion as simple as I could.
So long as that change of the wave is harmonic, then you would see those results...
I'm trying to see if I can find similar "harmonic distortion" in areas besides electronics.
Mathematicians want a lunch of caviar, pate de fois gras and champagne.
Engineers make do with Diet Coke and a cheeseburger. They don't stop, they wolf it down while they do something.
Physicists... Aaaaah.... for lunch we pause and enjoy our Cold Beer and Cheez Whiz ( the one with aged cheddar and bacon ) on whole wheat crackers and some sliced cucumbers. And then we resonate in the direction of the mathematicians and engineers while we pull each other's fingers. 😛
Last edited:
I regret I used such a word.... yikes.... I tried to make it simple.. I never expected the.....
.
Fibonaci makes for a great password.... ooops! It is an elegant sequence.
In the case of the Golden Mean... or the sea shell, it sort of makes sense why it would follow such a pattern. The process of making the shell is based on history: that is, the mechanism used to build the next "rung" on the shell is based on the size of the previous two rungs.... hence something like Fibonacci might just appear. I think processes that have history like that would follow a general solution something like: N(i) = F ( N(i-1), N(i-2)... N(i-n) ) where ( n>0 and n<i )
I remember this from a physics journal back in the late 70s:
I can’t remeber which book i read, google turns up more than one, but the subject of the equivalencies makes a facinating read.
dave
dave
Speaking of numbers . . .
Pi is a number that makes the Eveready Bunny look like he is taking a short walk.
Pi has an infinite series of numbers describing it.
But, there are simple approximations:
3 1/7 is close to pi, error is less than 0.05%. That is really close.
Root (10) = 3.162277660. . . another infinite number series, is close to pi, error is less than 0.7%.
That is pretty close too.
The above errors are swallowed up by most slide rule in-accuracies.
Pi is a number that makes the Eveready Bunny look like he is taking a short walk.
Pi has an infinite series of numbers describing it.
But, there are simple approximations:
3 1/7 is close to pi, error is less than 0.05%. That is really close.
Root (10) = 3.162277660. . . another infinite number series, is close to pi, error is less than 0.7%.
That is pretty close too.
The above errors are swallowed up by most slide rule in-accuracies.
Particualily in rooma it has, but it turns out the only thing that it brings is irrationality. And a human pleasing set of proportions.
Now the golden ratio and the fibonzchi sequence…
dave
Now the golden ratio and the fibonzchi sequence…
dave
One of the most common "things to do" in Physics is to do coordinate transformations so problems can be solved in their natural coordinate system.
Note: lots of matrices to do this...
Anyhow, I wonder if we chose the wrong coordinate system to measure our environment. Maybe we should have Pi fingers on each hand.
I was very good with martices when i was getting my math degree. Lovely things.
Working in the right coordinate system is key to solving many problems.
dave
Wel,,, QED...
Cardinal Fang, you could be nice.... I explained WHY I used that word because it resonates with the vernacular and it does explains a frequency plot full of harmonics ( harmonic resonances if you will ).... but it's people like you who took it so literally that make life miserable for the rest of us.
Sometimes I wish I had a hook like they had in the Gong Show... when someone goes like the Energizer Bunny, incongruously, and irrationally, resonating on the same fundamental argument over and over and over, you just hit the gong.... ( filling the hall with a sonorous, authoritative, soul filling rich resonant tone that tolerates no further inharmonious mischief ) and pull them off the stage. And then move on to the next act, hopefully a lady less clad and a bit more entertaining.
BTW, speaking of the vernacular:
resonate
rĕz′ə-nāt″
intransitive verb
- To exhibit or produce resonance or resonant effects.
- To evoke a feeling of shared emotion or belief.
- To correspond closely or harmoniously.
Last edited:
Yeah, those terms out of the diagonal can turn a simple solution into a couple of hours of equations.
The
The 1kHz spike is the signal into the amp input. It's supposed to be high. If the amp was perfect, nothing else would be there but the 1kHz. All the other stuff are harmonics produced by electronic circuitry in the amp, not present in the input signal. If the input signal was directly graphed, without going through the amp, only the 1kHz would be visible, unless you really dropped the floor on the graph, or if you had a noisy signal generator.
Ok, back to the OP's question of what is THD? (Total Harmonic Distortion).
It is the sum of all the harmonics, as that sum relates to the strength of the fundamental.
It is most often expressed in percent.
On the graph in question, the 1 kHz "spike" is the strength of the fundamental.
If you see other spikes at 2kHz, or 3kHz, etc., those are the harmonics.
Sum up the harmonic strengths, and compare to the fundamental strengths.
Forget about the math that it takes to do the proper sum, and then compare to the fundamental, etc.
That is not a simple addition of dB that the graph units are in (dB).
You wanted simple, so do not do the math, leave it to others to do that for you.
Different strengths of the harmonics versus the fundamental, whether they are from a musical instrument, or from an amplifier, or a loudspeakers changes the sound that you hear.
Simple?
Yes?
No?
It is the sum of all the harmonics, as that sum relates to the strength of the fundamental.
It is most often expressed in percent.
On the graph in question, the 1 kHz "spike" is the strength of the fundamental.
If you see other spikes at 2kHz, or 3kHz, etc., those are the harmonics.
Sum up the harmonic strengths, and compare to the fundamental strengths.
Forget about the math that it takes to do the proper sum, and then compare to the fundamental, etc.
That is not a simple addition of dB that the graph units are in (dB).
You wanted simple, so do not do the math, leave it to others to do that for you.
Different strengths of the harmonics versus the fundamental, whether they are from a musical instrument, or from an amplifier, or a loudspeakers changes the sound that you hear.
Simple?
Yes?
No?
Last edited: