Table 5
Comparison of the accuracy of the Nyquist sampled and oversampled methods for determining the positions and the intrinsic spectral index for the MeerKAT core for the case when the errors are independent.
| MeerKAT | ||||||||||||||
| Parameter | Nyquist sampling | Oversampling | ||||||||||||
|
|
||||||||||||||
| m | 1 | 2 | 3 | 4 | 5 | >5 | 1 | 2 | 3 | 4 | 5 | >5 | ||
|
|
||||||||||||||
| n | 29 | 1 | 1 | – | – | 2 | 39 | 2 | – | – | 1 | 1 | ||
|
4 | 2 | 2 | – | – | 2 | 5 | 4 | – | – | 2 | 2 | ||
| D | ||||||||||||||
| δ D Min | 0.0004 | 0.0008 | 0.006 | – | – | 0.0004 | 0.0004 | 0.0004 | – | – | 0.0008 | 0.0004 | ||
| δ D Max | 2 | 0.5 | 2.1 | – | – | 1.8 | 1.9 | 2.3 | – | – | 0.7 | 0.8 | ||
|
0.09 | 0.27 | 0.70 | – | – | 0.19 | 0.11 | 0.58 | – | – | 0.16 | 0.13 | ||
| δφ | ||||||||||||||
| δ φ Min | 0.001 | 0.002 | 0.008 | – | – | 0.007 | 0.001 | 0.006 | – | – | 0.008 | 0.002 | ||
| δ φ Max | 1.3 | 1.2 | 6.2 | – | – | 11 | 1.4 | 6.1 | – | – | 11 | 11 | ||
|
0.06 | 0.59 | 0.72 | – | – | 0.85 | 0.05 | 0.30 | – | – | 0.68 | 0.88 | ||
| α I | ||||||||||||||
|
–2.1 | –1.6 | –1.3 | – | – | –1.1 | –2.1 | –1.7 | – | – | –1.2 | –1.1 | ||
| σ | 0.1 | 0.8 | 0.8 | – | – | 1.1 | 0.1 | 0.4 | – | – | 1.1 | 1.1 | ||
Notes. Here m is the number of locations estimated
per detected source. n is the number of sources detected at the
number of positions shown. is the mean number of TABs per
source. Below we list the minimum (δDMin), maximum
(δDMax) and mean
() value of the total area D
covered by the overlapping values of s1/ s2 and
(a2 −
a1), normalised to the ΩHPBWL area in
deg2. The
total area D represents the area that would need to be sampled in
follow up, or archival, observations to be sure that the actual position of the
source was observed. We also list the minimum (δφMin), maximum
(δφMax) and mean
() value of the total angular
distances Δφ between the true and the estimated source
position, normalised to the HPBWL. is the mean estimated intrinsic
spectral index of all sources from group m where σ is the standard
deviation from that mean.
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