This paper presents a new Kalman filter-based noise, while avoiding excessive bias for non-stationary signals. One subspace tracking algorithm and its application to directions of can determine the number of measurements using the intersection of arrival (DOA) estimation. An autoregressive (AR) process is confidence intervals (ICI) bandwidth selection [4]. Alternately, the used to describe the dynamics of the subspace and a new proposed Kalman filter aims to determine the appropriate number of adaptive Kalman filter with variable measurements (KFVM) the measurements adaptively according to the approximated algorithm is developed to estimate the time-varying subspace derivatives of the system state in order to reduce the complexity in recursively from the state-space model and the given the bandwidth selection algorithm. Basically, when the signal observations. For stationary subspace, the proposed algorithm subspace varies rapidly, few measurements will be used to update will switch to the conventional PAST to lower the the state estimate. On the other hand, when the subspace is slowcomputational complexity. Simulation results show that the varying or even static, increasingly more past measurements should adaptive subspace tracking method has a better performance be employed. However, a heavy computational complexity will be incurred for large numbers of measurements in the KFVM. than conventionaenal gorithms in DOA cstimation for a wid Therefore, the KFVM can be switched to the PAST (RLS) varicty of experimental condition. algorithm to lessen the arithmetic complexity. This gives a new adaptive subspace tracking algorithm, which composes of KFVM and RLS. We will use the directions of arrival (DOA) estimation to I.
The design and performance of the inner detector trigger for the high level trigger of the ATLAS experiment at the Large Hadron Collider during the 2016–2018 data taking period is discussed. In 2016, 2017, and 2018 the ATLAS detector recorded $$35.6~\mathrm {fb}^{-1}$$
35.6
fb
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1
, $$46.9~\mathrm {fb}^{-1}$$
46.9
fb
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1
, and $$60.6~\mathrm {fb}^{-1}$$
60.6
fb
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1
respectively of proton–proton collision data at a centre-of-mass energy of 13 TeV. In order to deal with the very high interaction multiplicities per bunch crossing expected with the 13 TeV collisions the inner detector trigger was redesigned during the long shutdown of the Large Hadron Collider from 2013 until 2015. An overview of these developments is provided and the performance of the tracking in the trigger for the muon, electron, tau and b-jet signatures is discussed. The high performance of the inner detector trigger with these extreme interaction multiplicities demonstrates how the inner detector tracking continues to lie at the heart of the trigger performance and is essential in enabling the ATLAS physics programme.
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