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After taking a basic signals & systems class and learning about the frequency domain, I started wondering:

How the heck do scientists still communicate with Voyagers I and II??

 
Do they send/receive signals in a frequency that is otherwise unusually silent? If not, then how do they send and receive faint signals from something 10 billion miles away, when the spacecraft has so little energy and where it seems practically impossible to aim everything 100% correctly (since things are so distant and moving at the same time)?

(I wasn't sure what to tag this, so please retag as appropriate, thanks!)

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At least for the aim: It's not that voyager sends a divergence-less beam. But it is quite an impressive feat, I agree on that. One first hint is the Deep Space Network –  Lagerbaer Aug 6 '11 at 5:09
    
@Lagerbaer: Yeah I realize that... even lasers diverge a lot over distance, and they probably didn't even use those. I'm almost tempted to post this on Skeptics.SE... –  Mehrdad Aug 6 '11 at 5:11
    
@downvoter: Care to comment? –  Mehrdad Aug 6 '11 at 16:51
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Some data on antenna power/gain of Voyager 2 can be found here. –  Leonidas Aug 7 '11 at 0:07
    
@Leonidas: Yeah exactly -- how in the world do you detect something so minuscule? (For some reason, "by having REALLY large dishes" simply doesn't seem to quite convince me.) –  Mehrdad Aug 7 '11 at 0:18
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2 Answers

We know exactly where the spacecraft is, and it knows pretty well where we are. Distance does not aggravate the accuracy of aim problem, indeed the further apart the less relative motion, so aim gets easier. The problem is signal attenuation by dispersal. i.e. at twice the distance, the signal will be a quarter of the strength.

The solution, for Voyager, has been that our earth-based recievers and transmitters have increased in both accuracy and sensitivity several times faster than the signal from Voyager has been weakening due to distance. Indeed, if the power source would have lasted, we already have the ability to recieve a signal such a voyager's from thousands of times the distance. The bigger your antenna, the tighter you can focus its view. Once we get around to building the square-kilometer-array (2025 or so) we would have ability to hear a similar signal from several light years range.

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Created an account just to upvote this awesome positive answer. –  aditya menon Jun 29 '13 at 23:31
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As always, a communication via electromagnetic radiation depends on both ends. Uplink from earth can be done with a lot of power and big dishes, of course. Downlink is limited to the power of the nuclear battery on board but has a rather impressive 2.7 meters dish!. On top of that they use a rather slow bitrate, I think with a lot of redundancy. All this is commonplace information technology when dealing with bad connections with signal not much above noise.
Details are given in Wikipedia:

Uplink communications is via S band (16-bit/s command rate) while an X band transmitter provides downlink telemetry at 160 bit/s normally and 1.4 kbit/s for playback of high-rate plasma wave data. All data is transmitted from and received at the spacecraft via the 3.7-meter high-gain antenna.

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+1 a partial explanation on how they correct errors, but it doesn't explain at all how they detect the signals in the first place. (A 2.7-meter dish doesn't seem to quite explain to me how it solves the problem of communicating over billions of miles.) –  Mehrdad Aug 6 '11 at 9:28
    
The problem is, that You "imagine" problems. Detecting is done by so called "receivers". Here on earth one would use a parametric receiver, maybe cooled down cryoscopically. That is common technolagy for radioastronomy and such X-band in general. I gave You hints to wikipedia, and some buzzwords to google for. –  Georg Aug 6 '11 at 9:36
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I'm just imagining problems? So you're saying it's easy to communicate across 10 billion miles? Pardon me if it's an unreasonable question, but what exactly is the range of the signals emitted by these tools? You seem to be implying that it's unlimited, which is pretty impossible given that signals drop in strength in proportional to the square of distance... –  Mehrdad Aug 6 '11 at 11:16
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@Lagerbaer: (1) Explaining how DSN can extract such sensitive data definitely answers part of my question... (2) Sure, but how how does Voyager send data so accurately/strongly in the first place? It seems like any signal sent would be lost in the cosmos... –  Mehrdad Aug 6 '11 at 15:57
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I deleted a few inappropriate comments. Georg, you really need to keep your comments under control. There have been quite a few complaints recently. I'll ask both you and Mehrdad not to continue this, at least not here. –  David Z Aug 7 '11 at 20:56
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