Olivia MFSK
en.wikipedia.org
en.wikipedia.org
With fountain codes [1], you could decode the correct encoded message after receiving a certain number of any randomly generated sub-messages. The number of required sub-messages depends on the original encoding parameters. This encoding is great for very lossy one-way channels.
That's pretty misleading. Especially because I was expecting it to be expired this year, but didn't remember when exactly.
https://datatracker.ietf.org/ipr/2554/ https://patents.google.com/patent/US20110299629/en
One method has your input data taken bit by bit and combined with a pseudo random code, which never changes and is pre shared with all participants. Effectively each bit gets transmitted at multiple frequencies concurrently and as the receiving side knows the pseudo random code, it uses statistical inference to decide if it's seeing enough evidence of a 0 or a 1 in the various frequencies as dictated by the code.
You pull something out of the noise floor, without applying the statistical methods the received signal is indistinguishable from noise. It's certainly not possible to look at 1 frequency and decode the transmission because the transmission medium is lossy and constantly corrupts the transmission of individual bits randomly
Let’s say you have a noise source made up of random numbers from -1 to 1 (mean 0). And a signal that represents a binary 1 as 0.1 and a binary 0 as -0.1. Our binary signal gets added to the noise.
With one bit and one noise sample, we don’t really get much out of it. 0.567 - 0.1 = 0.467 and 0.567 + 0.1 = 0.667. Looking at 0.467 and 0.667, we can’t really make any judgement of whether either of those samples is a 1 or a 0.
If you extend your bits out though so that, say, one bit gets transmitted 100 times, then you can take 100 samples on the receive end and take the mean of those. Because the noise source has mean zero, the noise component of the (noise+sample) mean should come out around zero. So you get a mean of maybe -0.075, or a mean of 0.083. At that point, it’s reasonable to say “it was likely a -0.1 or 0.1” that was transmitted.
All of the fancy techniques enhance this process, but at its core that’s fundamentally what’s happening. Some of the techniques spread things out over different frequencies, some spread out over time, but it’s all roughly the same idea.
A more complicated explanation: the fundamental reason why this is possible is due to Shannon's channel capacity theorem [0]. This theorem tells us that the parameter that tells us whether we can communicate reliably is not the signal-to-noise ratio (SNR) but is instead the Energy-per-bit to Power Spectral Density ratio (Eb/N0). The difference is that Eb/N0 accounts for the total energy dedicated to sending a bit, whereas SNR only accounts for the rate at which you send that energy. The channel capacity theorem further tells us that the minimum Eb/N0 required to communicate reliably is about -1.6dB [1]. In the context of Olivia MFSK, the article claims that this communication scheme can communicate at -10dB SNR, which is possible as long as the waveform does something to increase its Eb/N0. The article says that Olivia MFSK uses error correction codes, which is one way to increase Eb/N0. Essentially, error correction codes add redundancy to the transmitted bit stream to correct errors. The simplest example of error correction is the repetition code in which, for every bit that you want to send, you send an agreed-upon number of copies. The more copies you send, the less likely it is that over half of them will be wrong. As you might imagine, there are also much more complicated error correction codes. Another way to increase your Eb/N0 is through Direct Sequence Spread Spectrum (DSSS), which is the technique that Craig mentioned.
If you're interested, [2] is a good reference book on digital communications, and [3] is a detailed, but still very readable, text on information theory.
[0] https://en.wikipedia.org/wiki/Channel_capacity [1] https://en.wikipedia.org/wiki/Eb/N0 [2] Proakis, John, Masoud Salehi. "Digital Communications." (2008). [3] Cover, Thomas M., Joy A. Thomas. "Elements of Information Theory." (2006).
Same with GPS, sure it's way under the noise floor of your receiver BW is at the 2 MHz, but once it is de-spread to the information bandwidth, it is not under the noise floor.
You can pretty close to Shannon's limit, which I suppose is under the noise floor at it's -1.6 dB limit, but in practicality you need extra margin, then you can usually see the signal with the proper filtering.
I know that's not a lot of power but can anyone provide comparisons to "normal" communications intercontinental?
Olivia was designed to trade a lot of bandwidth for great noise immunity. In comparison, FSK31 is like 70% as good and is just 31hz wide.
It is a shame that SMS and other low MTU packets aren't transmitted over a low bandwidth channel, or at least as a failover option. SMS coverage would be doubled in range, at least.
When there are a lot of sunspots, you will be able to make contacts in modes like Olivia (and nowadays FT8) but also classic Morse code across continents pretty much every day if you pick the right frequency on the shortwave bands. The throughput is relatively low, but in Amateur Radio the "journey is the reward", so it's more about making contacts, testing what is possible etc. rather than exchanging a lot of information.
With the current low sun activity, the skywave propagation is a lot worse, but even now you will be able to make contacts across continents pretty much every day, especially on the 14 MHz band (20m), even with power as low as 1W and simple antennas (like a full size dipole). The "windows" when propagation between two places on the planet is possible are much shorter though.
You can experience this in real time by observing the beacon transmitters of the NCDXF International Beacon Project, which transmit in fixed timeslots on various frequencies, with beacon locations around the world.
There are web-sdr receivers where you can listen to the shortwave bands in real-time from your browser (http://websdr.org/ for an extensive list) and if you tune one of them to 14100 kHz (CW mode), you will - over the 5 minute cycle that it takes for all beacons to transmit - receive a number of the NCDXF beacons. To identify which one was transmitting without learning Morse code, refer to the chart at https://www.ncdxf.org/beacon/.
The beacons transmit their callsign followed by four long dashes at 100W, 10W, 1W and 100mW transmitter power.
Try this at different times to see how band conditions change; they do a lot over the course of the day!
I could go on and on, shortwave propagation is one of the most fascinating things, isn't it? :-)
Will stick it on my list at https://github.com/mikadosoftware/importantexperiments4kids
However, there are many digital modes thta can be received very far at much lower power. People are regularly received across oceans using milliwatts on https://en.wikipedia.org/wiki/WSPR_(amateur_radio_software)
The image below shows locations that were able to hear me transmitting 5 watts on WSPR from Atlanta, GA when I first got on the air couple months ago.
I'll leave my rig receiving FT8 (https://en.wikipedia.org/wiki/WSJT_(amateur_radio_software)#...) for a while, so you'll be able to see who I can hear throughout the day by visiting https://pskreporter.info/pskmap?callsign=kn4tcf&search=Find . There's no convention on what power level to use for it, but most people keep it pretty low.
There are other modes that are just about as efficient: https://en.wikipedia.org/wiki/WSPR_(amateur_radio_software)
Also, JT65 and FT8.