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Transducer Directly Outputs Something Halfway Between Displacement & Velocity

Started by Bret Cahill March 4, 2011
This particular output is already possible -- the units would be meter/
second^1/2 -- simply by taking the -1/2 order derivative of a
speedometer or by taking the +1/2 order derivative of the output of a
displacement transducer.

The question here is, can you build a transducer that outputs this
quantity directly?

A half-way-between-charge-and-current sensor may also be possible.

Supposing partial transducers turned out to be cheaper, had better
linearity or were enough smaller so that it was cost effective to
replace conventional sensors with even with the additional necessary
step of taking fractional derivatives or fractional anti-derivatives?


Bret Cahill













http://en.wikipedia.org/wiki/Fractional_calculus



"Bret Cahill" <BretCahill@peoplepc.com> wrote in message 
news:93f17103-b5d6-49eb-b5f1-f3b02cb6cfc7@e11g2000prm.googlegroups.com...
> This particular output is already possible -- the units would be meter/ > second^1/2 -- simply by taking the -1/2 order derivative of a > speedometer or by taking the +1/2 order derivative of the output of a > displacement transducer. > > The question here is, can you build a transducer that outputs this > quantity directly? > > A half-way-between-charge-and-current sensor may also be possible. > > Supposing partial transducers turned out to be cheaper, had better > linearity or were enough smaller so that it was cost effective to > replace conventional sensors with even with the additional necessary > step of taking fractional derivatives or fractional anti-derivatives? > > > Bret Cahill > > > > > > > > > > > > >
On 05/03/2011 00:44, Bret Cahill wrote:
> This particular output is already possible -- the units would be meter/ > second^1/2 -- simply by taking the -1/2 order derivative of a > speedometer or by taking the +1/2 order derivative of the output of a > displacement transducer. > > The question here is, can you build a transducer that outputs this > quantity directly? > > A half-way-between-charge-and-current sensor may also be possible. > > Supposing partial transducers turned out to be cheaper, had better > linearity or were enough smaller so that it was cost effective to > replace conventional sensors with even with the additional necessary > step of taking fractional derivatives or fractional anti-derivatives? > > > Bret Cahill >
Why would you want such a sensor?
> > This particular output is already possible -- the units would be meter/ > > second^1/2 -- simply by taking the -1/2 order derivative of a > > speedometer or by taking the +1/2 order derivative of the output of a > > displacement transducer. > > > The question here is, can you build a transducer that outputs this > > quantity directly? > > > A half-way-between-charge-and-current sensor may also be possible. > > > Supposing partial transducers turned out to be cheaper, had better > > linearity or were enough smaller so that it was cost effective to > > replace conventional sensors with even with the additional necessary > > step of taking fractional derivatives or fractional anti-derivatives? > > > Bret Cahill > > Why would you want such a sensor?
Computation costs have dropped to nothing yet many conventional "integer order" transducers seem to be resistant to price drops. There might be some opportunities to calculate around a sensor that wouldn't ordinarily be considered because it only put out a quantity that wasn't easy to recognize. Exploiting cheap data processing to enhance transducer output isn't new. When the repeatability error is less than the linearity it's cheap and easy to include a calibration chart for the entire range, 0 to full scale. For load cells the accuracy can improve as much as an order of magnitude. Fractional derivatives aren't the same kind of "linearity" but there may be some effects out there that might be worth a second look. The simple offset block capacitor filter is actually putting out a fractional derivative. It's unlikely that's the only situation in nature where a device putting out fractional derivative is very cheap and very effective. It seems plausible that other cheap simple devices putting out fractional derivatives could also be highly accurate transducers once it undergoes the right processing. A displacement-velocity example isn't the best but it may help explain the goal. If displacements are measured with a variable inductor and velocities with a magnet in a coil, maybe replacing the variable inductor bar with a magnet might output something that could be processed into something useful. Bret Cahill
Bret Cahill's thread about transducers
motivated me to write this article.

Science attempts to determine the quantity
of orthogonal properties at points.

For example,
one might want to know
the three dimensional stresses and strains
on a jet engine,
and the angular velocity and temperature of the engine.

Historically science and engineering
have tried to focus transducers on one property
by compensating or "zeroing out"
the affects of properties
other than the one the observer is trying to
correlate with something.
( Failure, noise, vibration, etc.)

I suggest that the best way to find out what is
going on at a point,
is to attach a transmitter at the point,
that transmits a quasi-random code
that identifies the point,
like the codes used to identify cell phones
GPS satellites, migrating birds, etc.

and to modulate the data portion of the signal
with orthogonal signals output from a "multiducer",
a device sensitive to various properties in the environment,

and develop sophisticated software to
separate out the various property components in the signal,
much like medical imaging software.

The "multiducer" could be something like
a quartz crystal or even a living thing like a bug,
or even a more complex animal that has been
conditioned to respond to certain environmental conditions.

For example, during WWII,
the Germans trained pigeons to peck
at a"joystick" to center aerial pictures of places in London,
with the intension of using the pigeons as
control mechanisms for rocket bombs.

An animal is not only hardwired
as a "multiducer" for many properties,
(Such as temperature, noise, oxygen level, vibration, etc.)
it can be conditioned to identify other properties
such as X, Y and Z (Size of the picture), orientation, etc.

For example, you could load a pig, dog, etc. with a WMD,
and have it find a Wal-Mart, and to activate it's "payload".

Observe that a "navigatible" "multiducer" could not only transmit 
information
based on it's hard wiring and conditioning (Programming)
it could be steered to minimize or maximize various
environmental conditions.
( It could approach or avoid noise, temperature, Wal-Mart, etc.)

Come to think of it,
the Mass Media and search engines like Google
are already "programming" dumb animals
to serve as carriers and activators of WMDs,

and things like WWI, WWII, the Spanish Civil War,
the Iraqi War, America's Urban Rebellion
the various revolutions such as the ongoing ones,
General Relativity, etc.

-- 
Tom Potter
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http://tdp1001.wiki.zoho.com



On Sun, 6 Mar 2011 13:18:14 +0800, "Tom Potter"
<tdp1001@yahoo.com> wrote:

<snip>

>For example, during WWII, >the Germans trained pigeons to peck >at a"joystick" to center aerial pictures of places in London, >with the intension of using the pigeons as >control mechanisms for rocket bombs.
Do you have a citation for this? To the best of my knowlege, the pigeon-as-guidance system was devised by B.F Skinner in the USA. It was never deployed. (I can imagine that no matter how well it might have worked, there would have been a natural reluctance to entrust bomb targeting to birds. Nobody in authority would have wanted to risk the consequences to his career in event of a fiasco.) Best regards, Bob Masta DAQARTA v6.00 Data AcQuisition And Real-Time Analysis www.daqarta.com Scope, Spectrum, Spectrogram, Sound Level Meter Frequency Counter, FREE Signal Generator Pitch Track, Pitch-to-MIDI Science with your sound card!

"Bob Masta"  wrote in message 
news:4d739750.969846@news.eternal-september.org...

On Sun, 6 Mar 2011 13:18:14 +0800, "Tom Potter"
<tdp1001@yahoo.com> wrote:

<snip>

>For example, during WWII, >the Germans trained pigeons to peck >at a"joystick" to center aerial pictures of places in London, >with the intension of using the pigeons as >control mechanisms for rocket bombs.
Do you have a citation for this? To the best of my knowlege, the pigeon-as-guidance system was devised by B.F Skinner in the USA. It was never deployed. (I can imagine that no matter how well it might have worked, there would have been a natural reluctance to entrust bomb targeting to birds. Nobody in authority would have wanted to risk the consequences to his career in event of a fiasco.) Best regards, Bob Masta DAQARTA v6.00 Data AcQuisition And Real-Time Analysis www.daqarta.com Scope, Spectrum, Spectrogram, Sound Level Meter Frequency Counter, FREE Signal Generator Pitch Track, Pitch-to-MIDI Science with your sound card! Just more folklore Bob, just like the RAF eating bilberries for better night vision. If I'm wrong show me and I will apologize. Tom
Bob Masta wrote:
> On Sun, 6 Mar 2011 13:18:14 +0800, "Tom Potter" > <snip> >>For example, during WWII, >>the Germans trained pigeons to peck >>at a"joystick" to center aerial pictures of places in London, >>with the intension of using the pigeons as >>control mechanisms for rocket bombs. > > Do you have a citation for this? To the best of my > knowlege, the pigeon-as-guidance system was devised by B.F > Skinner in the USA. It was never deployed. (I can imagine > that no matter how well it might have worked, there would > have been a natural reluctance to entrust bomb targeting to > birds. Nobody in authority would have wanted to risk the > consequences to his career in event of a fiasco.) >
In the article I saw on edjamacaishunal teevee, they were using them to find downed airmen on the ocean. I have no idea how to verify or refute that - wait a sec.... yeah, google's got nothing. Oh, well! Cheers!@ Rich
On Sun, 6 Mar 2011 10:12:38 -0500, "Tom Biasi"
<tombiasi@optonline.net> wrote:

> > >"Bob Masta" wrote in message >news:4d739750.969846@news.eternal-september.org... > >On Sun, 6 Mar 2011 13:18:14 +0800, "Tom Potter" ><tdp1001@yahoo.com> wrote: > ><snip> > >>For example, during WWII, >>the Germans trained pigeons to peck >>at a"joystick" to center aerial pictures of places in London, >>with the intension of using the pigeons as >>control mechanisms for rocket bombs. > >Do you have a citation for this? To the best of my >knowlege, the pigeon-as-guidance system was devised by B.F >Skinner in the USA. It was never deployed. (I can imagine >that no matter how well it might have worked, there would >have been a natural reluctance to entrust bomb targeting to >birds. Nobody in authority would have wanted to risk the >consequences to his career in event of a fiasco.) > >Best regards, > > >Bob Masta >
>Just more folklore Bob, just like the RAF eating bilberries for better night >vision. >If I'm wrong show me and I will apologize. >
Not sure which you are referring to as folklore. I have found nothing regarding a German program, so that doesn't seem to have made the cut as folklore. The Skinner program is well known. Since he was such a famous (infamous?) scientist, whose later work in behaviorism made him the target of every wing nut in Congress, I expect that this part of his history has been pretty well scrutinized by now. Best regards, Bob Masta DAQARTA v6.00 Data AcQuisition And Real-Time Analysis www.daqarta.com Scope, Spectrum, Spectrogram, Sound Level Meter Frequency Counter, FREE Signal Generator Pitch Track, Pitch-to-MIDI Science with your sound card!
> The "multiducer" could be something like > a quartz crystal or even a living thing like a bug, > or even a more complex animal that has been > conditioned to respond to certain environmental conditions.
Stress on an ecosystem may result in a resolution as good or better that any other difference measurement tactic such as a Wheatstone bridge. For a possible example, ocean acidification may not be directly good for any critter but it may harm some more than others. If a mussel shell becomes easier to crush there could be a boom then bust in the crab population. That would make more sense than warmer Antarctic waters attracting crabs for the first time in 40 million years. The ocean has been warmer many times over that time period but the pH hasn't been this low in 30 million years. Another high resolution indicator of increases in ocean levels would be to monitor the frequency that roads on the Outer Banks become covered with sand. There is no geological reason for the an area 4 times the size of Mecklenburg County to be less than 3 feet above sea level. The only possible explanation is that there is some equilibrium with the sea level. If the ocean doesn't rise at too fast a rate the Outer Banks may try to keep up with it -- except for U.S. 58. If that road doesn't sink much, it should become covered with sand more often. The roads at the extreme northern end in SE Va. are swept about 4 times a year. Everything else being equal, if the sweeping increases then the theory that Outer Banks may survive climate change may have some validity. Bret Cahill