Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability of spectroscopic instruments: A unified Allan variance
  computation scheme   The Allan variance is a standard technique to characterise the stability of
spectroscopic instruments used in astronomical observations. The period for
switching between source and reference measurement is often derived from the
Allan minimum time.
  We propose a new approach for the computation of the Allan variance of
spectrometer data combining the advantages of the two existing methods into a
unified scheme. Using the Allan variance spectrum we derive the optimum
strategy for symmetric observing schemes minimising the total uncertainty of
the data resulting from radiometric and drift noise.
  The unified Allan variance computation scheme is designed to trace
total-power and spectroscopic fluctuations within the same framework. The
method includes an explicit error estimate both for the individual Allan
variance spectra and for the derived stability time. A new definition of the
instrument stability time allows to characterise the instrument even in the
case of a fluctuation spectrum shallower than 1/f, as measured for the total
power fluctuations in high-electron-mobility transistors. We find a non-linear
impact of the binning of spectrometer channels on the resulting noise and the
Allan time deviating from the description in existing theoretical treatments.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th