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Sixty Symbols -- What is the maximum Bandwidth?

charliem says...

You are thinking about QAM, Quadrature Amplitude Modulation. Thats an interesting question because QAM essentially produces the same results that the prof talks about in this video. By using interesting ways to change the beat and phase of a single carrier, one can represent a whole array of numbers greater than just a 1 or a zero with a single pulse, case in point.

In QAM, lets just use the easy example of QAM, QPSK (4QAM), where there are 4 possible binary positions for any given 'carrier' signal at a known frequency.

By shifting both phase and amplitude, you can get a 0, 1, 2 or 3, where each position represents a power of 2, up to a total value of 16 unique numbers.

Rather than just a 0 or a 1, you can have 0 through to 15. However doing this requires both a timeslot, and a known carrier window.

The fastest the QAM transmitter can encode onto a carrier is limited by the nyquist rate, that is, less than half the frequency which the receiver can sample at its fastest rate (on the remote end). As you increase the speed of the encoding, you also increase the error rate, and introduce more noise into the base carrier signal, in turn, reducing your effective available bandwidth.

So it then becomes a balancing act, do I want to encode faster, or do I want to increase my constellation density? The obvious answer is the one we went with, increase in constellation density.

There are much more dense variants, I think the highest ive heard of was 1024 QAM, where a single carrier of 8MHz wide could represent 1024 bits (1,050,625 unique values for a given 'pulse' within a carrier).

I actually had a lot more typed out here, but the maths that goes into this gets very ugly, and you have to account for noise products that are introduced as you increase both your transmission speed, and your receiver sensitivty, thus lowering your SNR, reducing your effective bandwidth for a given QAM scheme.

So rather than bore you with the details, the Shannon Hartley theorem is the hard wired physical limitation.

Think of it as an asymptote, that QAM is one method of trying to milk the available space of.

You can send encoded pulses very fast, but you are limited by nyquist, and your receivers ability to determine noise from signal.

The faster you encode, the more noise, the less effective bandwidth....and so begins the ritule of increasing constellation density, and receivers that can decode them....etc....

There is also the aspect of having carriers too close to one another that you must consider. If you do not have enough of a dead band between your receivers cut off for top end, and the NEXT carrier alongs cutoff for deadband at its LOW end, you can induce what is known as a heterodyne. These are nasty, especially so when talking about fibre, as the wavelengths used can cause a WIDE BAND noise product that results in your effective RF noise floor to jump SUBSTANTIALLY, destroying your entire network in the process.

So not only can you not have a contiguous RF bandwidth of carriers, one directly after another...if you try and get them close, you end up ruining everyones day.

I am sure there will be newer more fancy ways to fill that spectrum with useable numbers, but I seriously doubt they will ever go faster than the limit I proposed earlier (unless they can get better SNR, again that was just a stab in the dark).

It gives you a good idea of how it works though.

If you want to read more on this, I suggest checking wikipedia for the following;

Shannon Hartley theorem.
Nyquist Rate
Quadrature Phase Shift Key
Quadrature Amplitude Modulation
Fibre Optic Communication Wavelengths
Stimulated Brillouin Scattering
Ebrium Doped Fibre Amplifiers

Oakland CA Is So Scary Even Cops Want Nothing To Do With It

newtboy says...

OMFG!!!Wow... I guess I have to answer that.
Why do you continue to refer to the utopian free market that you admit never existed, you can't possibly know how it would turn out since you have nothing to reference, so please stop acting like you "know" how it would be, that's simply making your politics a religion, with no need to explain and no basis for your argument but supposition.
If only more people would vote FOR a candidate instead of out of fear of the "other" candidate, my political "regulation" would work great. I can't control others, only try to explain my position and hope they agree.
I am quite happy where I am, but I also know other places are not as nice. I feel it's mostly due to overpopulation/high population density, but that's another subject altogether.
I'm sorry your experience with police is so one sided...I do wish it were not so. I think blaming them for an accident during a car chase may be a little unfair, not knowing the details I'll reserve judgment. I would hope you were properly compensated if it's as you suggest. My experiences have been both unpleasant and helpful, but I could understand the position of the one's that were unhelpful, even if I disagreed completely. My wish is that others would understand that, on average, having police is far better than not (even when they end up not always helping YOU), without needing personal NEED for the police to understand...I'm including you in that wish.
You would lose that bet...I'm a landlord.
I'm disabled and don't take a dime in public assistance, but pay my fair share for having roads and water systems (and then some) because it's a good thing to have them for everyone. I could find ways to pay less taxes, or fight for them with my vote...I just see that as shirking a duty owed to one's fellow citizens, so I don't. No man is an island.
So, no $35 real security exists that you'll show us? Can't imagine why that would be. No evidence, no existence.
By your logic, taxes are voluntary, you can choose not to live in the US and you don't get thrown in jail for not paying them. (most HOA's have a clause where they can take your home if you don't pay).
Again, you claim you don't care about my thoughts, but you continue to prove you do by responding.....you do see that, right? I don't claim to not care about your position, I try to not simply ignore those I disagree with as that tends to end intellectual evolution on both sides. Sometimes it's a futile effort.....
Again, because I don't want to disband the government doesn't mean I (or others) LIKE it, but we do have control, we simply need to assert it in thoughtful ways, not react out of fear of the possible future. That's my viewpoint anyway.

Trancecoach said:

...too much that you can read above.

A 767-ER airliner takes off from a runway 1/3 too short!

bareboards2 says...

I sent this to my brother -- he's an ex-Air Force pilot, current Air Force pilot simulator trainer for C17s. He said this:

Big planes capable of carrying big weights but then not carrying big weights become a sports car. It looked like summer so the air density may have been 7,000 or 8,000 feet standard day. On rotation he kicks up a lot of dirt so he definitely used all the pavement.

C-17's do this for a living.

Are Imperial Measurements Outdated?

Sagemind says...

It's not a conscious choice to use those methods, they just are what they are.
And I don't measure density, honestly, I have no reason to.

And I am a graphic designer, and when I'm designing for the web, pixel is the Only way to go, as all dimensions in the CSS and HTML are indicated in pixels.

- A web graphic is always 72 dpi, unless for some strange reason its
needed at higher clarity, then I use 96 dpi.
- Images for ads in news print are usually good at 200 dpi.
- Graphics used for full colour print use 300 dpi
I instinctively know the size on the image as it adjusts between the different dpi settings. it's part of the job from doing it for so many years (lol - plus, Photoshop tells you as you reduce the dpi what size it is )

But like I said, if I'm designing for print, then I use Points and Picas - not pixels.

ChaosEngine said:

That seems unnecessarily confusing.

How do you describe density? Pounds per litre?

And pixels are a terrible way to measure "computer". That's why so many 3rd party Windows applications screw up when you change the DPI (which obviously should be DPCM )

When I was growing up in Ireland all the roadsign distances were in KM and the speed limits in MPH. Confused the hell out of tourists

Are Imperial Measurements Outdated?

ChaosEngine says...

That seems unnecessarily confusing.

How do you describe density? Pounds per litre?

And pixels are a terrible way to measure "computer". That's why so many 3rd party Windows applications screw up when you change the DPI (which obviously should be DPCM )

When I was growing up in Ireland all the roadsign distances were in KM and the speed limits in MPH. Confused the hell out of tourists

Sagemind said:

I've found, that "for me," it depends on what I am doing which determines the system I'm using.
Distance: Kilometers makes the most sense.
Temperature: Celsius makes way more sense
Measurements around the house and building: Inches and feet are the standard.
Design: Points and Picas are the most useful
Computer: Pixels (unles the output is print, then back to Points)
Weight: Pounds/ounces
Volume: Liters and Milliliters

Can you absorb mercury with a sponge?

Sagemind says...

Ok, so here is a very good point.
Because of strength and density, squeezing the air out of the sponge, while submerged under the mercury..., where is that air supposed to go?

Displacement. for the mercury to fill the sponge, the air must be pushed out and displace mercury while submerged, Can air, displace the Mercury in this instance? that's another interesting factor here.

Surface tension sounds plausible, but with the pressure of squeezing the sponge, I would think that tension would break even a little.

dannym3141 said:

......and so air could refill the holes in the sponge and allow it to retake its preferred shape. But if it was entirely submerged in the mercury and squeezed, which would be stronger? The springiness of the sponge to want to return to its shape sucking mercury in, or the surface tension of the mercury and the sponge just stays squashed...

Man Builds Rocking Chair Using No Power Tools

chingalera says...

Foot-powered....ya missed it-

@BicycleRepairMan-He's using some dense, seasoned hickory, I'm thinking the material's grain and density covers a good portion of the Fred Flintstony design integrity. This isn't the standard Windsor-style rocker for frail, featherlight granny-asses either-This is a brick-shithouse, truck-driver's-ass, Rockerthing.

Payback said:

Correct me if I'm wrong, but last I heard, an electric lathe is a power tool.

335-foot 700 Ton Ship Flips

pumkinandstorm says...

It studies wave height, acoustic signals, water temperature and density, and collects meteorological data.

I added this and a bit more information to the video description.

Yogi said:

Everything about this terrifies me. I would be on that thing, even knowing and understanding exactly what's going on, hyperventilating with fear and plotting my escape route. What exactly does it study?

Do We Expand With The Universe?

raverman says...

so... Space is a four dimensional fabric... that is expanding in 3 directions and also in the direction of time.

and any stationary density of matter OR matter moving at speed has the ability to slow or reverse the expansion relative only to itself?

And space went from a singularity and inflated suddenly and continues to expand as though it had limited boundaries in yet still seems to be infinite?

... I think it's the mind boggling mystery of space that interests me to much

Jacob tries the Oculus Rift (roller coaster)

jubuttib says...

They are already. You can go to their homepage and pre-order one right now. The next batch of orders is currently expected to ship out in September, hence the "pre-order" bit. So if you actually want one you can get them within a few months by ordering now, or faster if you get one from eBay (will cost extra though). =)

Though if you're sensible you'd wait for the consumer model, which will have a better screen (higher pixel density to lower the "screendoor" effect, lower switch times for less motion blur, better contrast) as well as other nice features (positional tracking on top of directional tracking, so you can actually look around corners, not just pivot your head). You'll be waiting for those for a year or two though. =)

lucky760 said:

That was awesome. I can't wait until these are commercially available.

Helicopter landing hard on the runway

jimnms says...

YouTube description:

According to the pilot-in-command (PIC), he was performing autorotations at the lower part of the main rotor rpm green arc in part due to weight considerations. Upon entering the accident autorotation, he maintained an airspeed between 85-90 knots in the hope that extra speed would allow a more aggressive deceleration flare prior to touchdown, which should in turn further slow the rate of descent and forward speed. The helicopter's rate of descent was high, and as the PIC turned the helicopter onto the runway heading it was apparent to him that the rate of descent was excessive and that he was too low to execute either a proper deceleration flare or perform a power recovery. He attempted to level the helicopter as much as possible prior to impact to minimize the damage to the helicopter and prevent injury. The helicopter landed hard with the left skid contacting the runway first. The left skid collapsed, damaging the outboard landing gear damper attachment structure. The helicopter slid about 100 yards before coming to a stop. According to the manufacturer, the main rotor rpm range is 90 percent to 106.4 percent. At the helicopter's weight and the density altitude on the day of the accident, the main rotor rpm during the autorotation should have been above the 106.4 percent limit (red line), requiring the pilot to increase collective pitch to maintain the rotor rpm within limits. Performing autorotations at the lower part of the green arc provides less availability of rotor energy to perform an autorotation landing. The pilot should have recognized that he was not achieving the required main rotor rpm for the autorotations and terminated the maneuvers. The helicopter was within weight and balance limits.

The National Transportation Safety Board determines the probable cause(s) of this accident as follows:

The pilot's failure to maintain adequate main rotor rpm during an autorotation, which resulted in a hard landing.

Hilarious Exploding Cow Pat!

Quadrophonic says...

Believe me when you do something like this, you never consider that the density of the average poo is way higher than air, thus you fail to realize how far said shit will fly... it's the way 8 year old me learned something about explosions and how poop tastes in one horrible but funny lesson. I regret nothing!

A rarely known dirty trick of war: Spiked Ammo

MonkeySpank says...

I contracted for non-invasive inspection with ARDEC back in 2001. We have the technology to scan these bullets at an extremely fast rate (1000+ bullets/sec) using Photoelectric Effect and Compton Scattering and single out the bad powder using electron density and Z effecitive. We can definitely help the insurgence avoid these traps if politics weren't in the way.

Behold The Majesty of Simcity GlassBox Simulation

Spectacular landing at Congonhas Airport, São Paulo, Brazil



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