Nominal ARISE sensitivity
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Nominal ARISE sensitivity
The overall sensitivity of a radio telescope can be
characterized by the ``System Equivalent Flux Density'' (SEFD) in
Jy, where
Here, is the system
temperature in Kelvin and is the
effective area of the antenna in square meters. The r.m.s. noise
on the interferometer baseline between ARISE (telescope
``A'') and ground radio telescope ``g'' is then
denoted by
Here, is an efficiency
factor due to sampling and correlation, is the observing bandwidth, and is the integration time. A typical fringe-detection
threshold is .
We assume a fixed data rate of 8 Gbit sec for ARISE. Nominal values for 2-bit sampling at 86
GHz are , GHz, and sec. (The
sensitivity for 1-bit sampling differs by only 2% from 2-bit
sampling, under the assumption of a fixed data rate.) Current
baseline values for the 25-meter ARISE telescope are an aperture
efficiency of only 8% and a system temperature of 45 K,
corresponding to Jy. For a 25-meter
VLBA telescope, conservative estimates are an aperture efficiency
of 0.20 and a system temperature of 150 K, giving = 4200 Jy. (VLBA performance is likely to be
somewhat better by 2008, particularly in the aperture
efficiency.) If we assume 2-bit sampling and convert the
bandwidth to the data rate DR,
the detection threshold is given by
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