Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytically exploiting noise correlations inside the feedback loop to
  improve locked-oscillator performance   We introduce concepts from optimal estimation to the stabilization of
precision frequency standards limited by noisy local oscillators. We develop a
theoretical framework casting various measures for frequency standard variance
in terms of frequency-domain transfer functions, capturing the effects of
feedback stabilization via a time-series of Ramsey measurements. Using this
framework we introduce a novel optimized hybrid predictive feedforward
measurement protocol which employs results from multiple past measurements and
transfer-function-based calculations of measurement covariance to improve the
accuracy of corrections within the feedback loop. In the presence of common
non-Markovian noise processes these measurements will be correlated in a
calculable manner, providing a means to capture the stochastic evolution of the
LO frequency during the measurement cycle. We present analytic calculations and
numerical simulations of oscillator performance under competing feedback
schemes and demonstrate benefits in both correction accuracy and long-term
oscillator stability using hybrid feedforward. Simulations verify that in the
presence of uncompensated dead time and noise with significant spectral weight
near the inverse cycle time predictive feedforward outperforms traditional
feedback, providing a path towards developing a new class of stabilization
"software" routines for frequency standards limited by noisy local oscillators.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th