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>"David Woolley" <[EMAIL PROTECTED]> wrote in message news:[EMAIL PROTECTED] > In article <[EMAIL PROTECTED]>, [EMAIL PROTECTED] wrote: > > > If the Arecibo radio telescope could be transported to Alpha Centauri, > > scaled up in size and then pointed back towards Earth, then a telescope > > with a diameter of over 33,000 kilometers would be required to > > detect UHF television pictures leaked from Earth. This is equivalent > > The figure that you should be using is the 0.3 LY carrier detection range, > not the 2.5 AU full channel detection range, making the required diameter, > keeping all other assumptions the same, about 15 times that of Arecibo. > The 2.5 AU case does have some relevance to digital systems, with no > distinct carrier. > > > http://www.computing.edu.au/~bvk/astronomy/HET608/essay/ > > Whilst I'm quoted here, I didn't choose most of the assumptions. My main > contribution was to revise the noise level and detection threshold > assumptions. > > One particular assumption is that the time bandwidth product is one. > That's reasonable for the 0.1Hz carrier, as it means an observation > time of 10 seconds, which is consistent with drift scan searching on > a narrow beam, but, for the 6MHz full channel, it might be better to > to still use 10 seconds, in which case the detectable signal level > is reduced by sqrt (60,000,000) or 7,750 and the necessary receive > aperture diameter reduces by a factor of 88, although that is still > somewhat large, and an Arecibo type feed would need to be moved > rather fast to keep the source in beam. (This increases the full > channel detection range for Arecibo to a little over a light > day.) > > The project Phoenix people reckon that they will be able to detect TV > carriers from several stars using a fully populated 1 square km array. > In part that probably reflects an assumption of observing a single > source for a lot more than 10 seconds. > > Once you have found a signal, analogue TV has a lot of redundancy, which > means that you can probably recover a workable picture when the signal > is below the noise level (if you look at a grainy distant transmitter, > the grain is the noise, but you can integrate the image from frame to > frame and, even if there is movement, you can use what you know about > the nature of the image and what preceded it, to make a good prediction > of what was actually transmitted). You cannot get your 7,750 times > improvement from averaging over 10 seconds, but in reconstructing > the grainy picture, you are averaging the same point over many frames. > One probably only gets about a factor of 3 to 5 improvement in antenna > diameter over your figure from this factor (which can't be combined > with the 88 one above). > > One other point. The calculations assume a particular illumination > efficiency at the receiver. That is a bit optimistic for an ordinary > low noise receive dish but may be very optimistic for Arecibo, as it > doesn't use a lot of the available surface in any given direction. > 0.1 might be closer to the truth. (This is something I learned > fairly recently, but, probably, ought to be fed back into the > sci.astro FAQ). As the other people involved with this section > of the FAQ are more likely to be found in sci.astro.seti, I'm > adding a cross-post to that group. Thanks for the info David. I'll look it over too. I didn't know what to assume for antenna efficiency (illumination efficiency) for Arecibo so I just used a "typical" number for that (0.7 I think). I'll look over that HET608 paper too. It is probably time to update the FAQ anyway. It is interesting because I was just reviewing the FAQ and thinking that it needed an update ... Al
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