Time/Frequency domain

We have two cognitive minds each with it’s own logical and perceptual processing, synchronous and modulated by intensity. (weighting)” – el Loco Gringo

“It is interesting to note that there is something in our head that knows how to walk, while we are not consciously aware of it. It is sobering to recognize that there is something in our head that that understands chaotic theory in 13 dimensions, AND CAN MANIPULATE IT, real time.” – el Loco Gringo

“So far all the discussion of sound has centered on its description as fluctuations in air pressure over time. The representation of sound in the time domain is important to understand, but in some ways it is also awkward. For instance, the frequency of a sound is one of its most important physical properties, but determining frequency from a waveform requires making measurements of time intervals and then doing arithmetic. Indeed, for many complex waveforms, where multiple sinusoids of various frequencies are simultaneously present, it is often unclear where the intervals to be measured begin and end. The frequency domain provides an alternative description of sound in which the time axis is replaced by a frequency axis. In the frequency domain, sounds are represented in a frequency by amplitude and/or phase diagram. “ – ASEL

“It’s only complicated if you’re thinking backwards” – el Loco Gringo

Do not go wobbly on me here. Do not allow your mind to boggle. Uncle Walter will make it all better. It is the concept which is important not the math. Indeed the math is irrelevant.

Top down thinking assumes that the time domain is reality and the frequency domain is imaginary. As there is much more information to be gained in the frequency domain it is easier to convert the time domain to the frequency domain, get the answer, (in the frequency domain the answer “just is”) and then convert it back. However, this logic tree is fallacious.

Bottom up thinking shows that the frequency domain is reality and the time domain is imaginary. Indeed, a mathematician capable of thinking in the frequency domain (should such a person be possible) might well wonder why in the world would anyone be interested in so limited a concept as an imaginary “time”. (As I wonder why people are so dumb) The reason of course is that in the time domain information can be categorized. Looking at the header time>frequency>time the calculations cancel out and we are left with frequency IE Reality. In fact, the concept of math is, in and of itself, an artifact, a method of categorizing, quantifying, putting things in baskets.

In fact, EVERYTHING we perceive is only an interpretation of what we see. The shadows Plato was talking about.

Sometimes when we can’t make sense out of something we assume that we are dumb. We do not think of the possibility that perhaps there is no sense there. This should set off a flag, but it doesn’t.

NOW is the time to set the algorithm. The “goal” you were looking for in your logic tree. NOW is the time to use top down thinking. NOW you can start with “The frequency domain is reality” and work downwards to see what that implies. (And the implications are staggering) NOW you can put things in baskets. NOW you can quantify, sort, collate, dissect and mangle the data. NOW you can use the scientific method. (not just yet tho)

As profound as this is, the concept of the ANN is profounder.

“A world of beautiful, loving, compassionate people” – Jill Bolte Taylor

That is my gift to humanity – el Loco Gringo

Time/Freq RideOnTheWildSide Vibroseis Visualizations TimeTranslator Spectrum Emergence Geophysics Nostalgia Great Mysterious

Time Translator

Time Translator

Of course, in keeping with the scientific method it is necessary to look at the math.   click the image to view full size.  Calculus doesn’t work in the frequency domain.  Click back arrow to return

“Time is just the mind’s way of keeping everything from happening at once” – el Loco Gringo

WOW!!! I am impressed. I fingered it out. The mind is doing a reverse 4 dimensional Fourier transform, converting the frequency domain (vector + amplitude) (what we see) to the time domain (time + amplitude) (what we perceive) IN REAL TIME (or maybe I should say real vector). This is INCREDIBLE!! The most powerful computer in the world can’t do this. We used to do forward and reverse 3 dimensional Fourier transforms. A one hour shoot would take a week on a Cray. The extra dimension would cause at least another order of magnitude increase. And that doesn’t even consider the complexity of the input. We were only doing it on sampled wavelets. I’m not sure it could be coded on a digital computer, but it shouldn’t be hard on an analog computer, but there’s no big ones. If this takes off buy some Computer Associates stock. Do you realize I’ve just explained the concept of the space/time (space/vector) continuum in ONE sentence? The human mind is POWERFUL beyond what anyone can imagine. Even me. This boggles my mind and I consider myself to have a high boggle threshold. The universe is indeed not only stranger than we imagine, but stranger than we can imagine.

I know just who I’ll tell. There is a mathematician who is devoting her career to finding what is wrong with the relativity equations. She is convinced that there is an error in the math. There isn’t (maybe) the error is in the input data. (in retrospect, it should be obvious, there are thousands of mathematicians and physicists working on the problem and all they can come up with are kluges.) I wish Einstein were still alive, or Wright. They would be delighted.

This is another of those flags. I’ve had this one since High School. The relativity theory didn’t sound exactly right. You asked where I was heading with the die. THIS was where, although I didn’t know it at the time. I was trying to get the concepts set in my mind. To wrap my head around the top down and bottom up discrepancies. This is the error in Einsteins equations.

Of course, if you’re operating in the frequency domain, you don’t need the equation. It just is.

Found Here;> http://www.numerix.co.uk/dspintro.html