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Project Cyclops, A Design... - Department of Earth and Planetary ...

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sec,therebyobtaining100samples<strong>of</strong> thecomplete<br />

powerspectrumwith0.1-Hzresolution. These are then<br />

added in perhaps 400 different ways to synchronize with<br />

the assumed drift rate, but since additions with almost<br />

the same slope are correlated, there are only about 100<br />

independent signals obtained from the adder, each<br />

having 2X109 independent Nyquist intervals per polarization.<br />

Thus, a total <strong>of</strong> 4×10 _ tests is made per<br />

observation, <strong>and</strong> to keep the probability <strong>of</strong> a false alarm<br />

to 20% for the entire observation, the probability <strong>of</strong> a<br />

false alarm per test must be about 5X 10-_ 3<br />

With the threshold set so that the probability <strong>of</strong> the<br />

noise alone exceeding it in any one Nyquist interval is<br />

5× 10-l 3, the probability <strong>of</strong> missing the signal is 50% if<br />

the received signal-to-noise ratio is unity (0 dB) in the<br />

0.1 Hz b<strong>and</strong> or -93 dB for the 200-MHz total b<strong>and</strong>.<br />

l'or only a 1% chance <strong>of</strong> missing the signal an additional<br />

2 dB <strong>of</strong> signal power is needed. We know <strong>of</strong> no other<br />

method <strong>of</strong> processing the signal that can even approach<br />

this performance. The technique is believed to be an<br />

optimum one, though <strong>of</strong> course other <strong>and</strong> better means<br />

<strong>of</strong> implementing the operations may be found.<br />

IMAGING THE RADIO SKY<br />

The proposed <strong>Cyclops</strong> array is orders <strong>of</strong> magnitude<br />

more powerful than any existing fully steerable radio<br />

telescope. As such it would be a magnificent tool for<br />

finding <strong>and</strong> studying distant weak radio sources <strong>and</strong> for<br />

mapping the structure <strong>of</strong> known sources. Because all the<br />

IF signals are returned independently to the central<br />

headquarters, they can be combined to form more than<br />

one simultaneous beam. In fact, with n elements we can<br />

form n independent beams, or more than n correlated<br />

beams. By arranging the beams in a closely packed array<br />

<strong>and</strong> portraying the sky brightness measured by each<br />

beam as the brightness <strong>of</strong> a corresponding point on a<br />

screen, we can form a real-time high-resolution map <strong>of</strong> a<br />

portion <strong>of</strong> sky within the beamwidth <strong>of</strong> the antenna<br />

elements. In this way the time required to map the sky<br />

or to search for new sources is only one nth as great as<br />

with a single beam.<br />

Several ways <strong>of</strong> doing this imaging were studied, none<br />

<strong>of</strong> which is ideal in all respects. The proposed method<br />

involves reradiating the signals from the antenna elements<br />

as electromagnetic waves from antennas in a<br />

scaled down model <strong>of</strong> the receiving array. If the scale<br />

factor is o, the angular magnification <strong>of</strong> the telescope is<br />

l/o. The imaging, if broadb<strong>and</strong>, must be done at the<br />

original received frequency; otherwise, the angular magnification<br />

is frequency dependent <strong>and</strong> changes appreciably<br />

across the received b<strong>and</strong>.<br />

72<br />

The model, or signal, array focuses the radiation on a<br />

second array whose receiving antennas pick up samples<br />

<strong>of</strong> the signal in the image plane. The energy collected by<br />

each receiver is then detected <strong>and</strong> converted to a<br />

proportional brightness <strong>of</strong> an element <strong>of</strong> a display<br />

screen.<br />

The useful angular field <strong>of</strong> the image is inversely<br />

proportional to frequency. Thus, to keep the number <strong>of</strong><br />

points in the image constant, the separation between the<br />

two arrays must be proportional to the RF center<br />

frequency. In the proposed system, the signal <strong>and</strong> image<br />

arrays are 20-m in diameter <strong>and</strong> their separation varies<br />

from 40 to 120 m over the tuning range from ! to 3<br />

GHz. lm_,ging is not attempted from 0.5 to 1 GHz.<br />

The size <strong>of</strong> the proposed imager is awkwardly large.<br />

To prevent coupling to the receiving array it must be<br />

housed in a completely shielded space, which, in turn,<br />

must be lined with microwave-absorbing material to<br />

prevent undesired reflections. The dimensions <strong>of</strong> the<br />

anechoic chamber needed are about 75 ft wide, 75 ft<br />

high, <strong>and</strong> 550 ft long, a building roughly the size <strong>of</strong> the<br />

turbine house<br />

<strong>of</strong> a large power plant.<br />

The building volume needed is directly proportional<br />

to the number <strong>of</strong> antennas in the array, to the ratio <strong>of</strong><br />

the high to the low frequency limit <strong>of</strong> operation, <strong>and</strong> to<br />

the cube <strong>of</strong> the wavelength at the low frequency limit. If<br />

we were content to do the imaging over the b<strong>and</strong> from<br />

1400 to 1700 MHz, which includes the H <strong>and</strong> OH lines,<br />

a chamber 60 by 60 by 125 ft would suffice. However,<br />

even the cost <strong>of</strong> the proposed imager is small compared<br />

the total system cost, so we have proposed the large<br />

version, leaving possible compromises to the judgment <strong>of</strong><br />

future study teams.<br />

The shielding requirements, though severe, involve<br />

only a few mils <strong>of</strong> copper. Most <strong>of</strong> the problems are<br />

associated with bringing leads into <strong>and</strong> out <strong>of</strong> the<br />

chamber. All shielding problems are greatly reduced if<br />

the imaging frequency is <strong>of</strong>fset from the receiver b<strong>and</strong><br />

by the IF b<strong>and</strong>width. This introduces an appreciable, but<br />

tolerable, amount <strong>of</strong> lateral chromatic aberration.<br />

The proposed imager can image both polarizations<br />

simultaneously. By combining the intensities, we can cut<br />

the integration times in half. If the selected polarizations<br />

can be varied, then subtraction <strong>of</strong> the intensities would<br />

reveal polarized sources. This might be a powerful search<br />

tool for unusual types <strong>of</strong> emissions in the universe. In<br />

any event, the imaging capability would reduce by about<br />

three orders <strong>of</strong> magnitude the time needed to make<br />

certain kinds <strong>of</strong> radio astronomy studies, <strong>and</strong>, for the<br />

first time, would place radio astronomy on a more<br />

nearly equal footing with optical astronomy so far as<br />

data collection rates are concerned. Who can say what<br />

major discoveries might ensue.'?

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