2012 IEEE International Symposium on Circuits and Systems 2012
DOI: 10.1109/iscas.2012.6272029
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The design of an in-line accelerometer-based inclination sensing system

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Cited by 7 publications
(12 citation statements)
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“…Using the procedure outlined in [20], we approximate the discrete time system as Ȱ ൎ ‫ܫ‬ ‫ܶܨ‬ ௌ (12) where ܶ ௌ is the length of each time step and ‫ܫ‬ ‫א‬ Թ ଵൈଵ is the identity matrix. This leads to a discrete time state space model as in [21] ାଵ ൌ Ȱ ‫ݓ‬ (13) ൌ ‫ܪ‬ ‫ݒ‬ (14) where ݇ ‫א‬ ሼͳǡʹǡ ǥ ሽ is the discrete time index, ‫א‬ Թ ଵ is the state vector at the time instant ݇, ‫א‬ Թ ଷ is the measurement vector. Ȱ ‫א‬ Թ ଵൈଵ is the state transition matrix that describes the progression of states over time and is described in (12).…”
Section: Extended Kalman Filter Modelmentioning
confidence: 99%
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“…Using the procedure outlined in [20], we approximate the discrete time system as Ȱ ൎ ‫ܫ‬ ‫ܶܨ‬ ௌ (12) where ܶ ௌ is the length of each time step and ‫ܫ‬ ‫א‬ Թ ଵൈଵ is the identity matrix. This leads to a discrete time state space model as in [21] ାଵ ൌ Ȱ ‫ݓ‬ (13) ൌ ‫ܪ‬ ‫ݒ‬ (14) where ݇ ‫א‬ ሼͳǡʹǡ ǥ ሽ is the discrete time index, ‫א‬ Թ ଵ is the state vector at the time instant ݇, ‫א‬ Թ ଷ is the measurement vector. Ȱ ‫א‬ Թ ଵൈଵ is the state transition matrix that describes the progression of states over time and is described in (12).…”
Section: Extended Kalman Filter Modelmentioning
confidence: 99%
“…The expected value of the state is derived from (13), providing the prediction stage of the EKF. It should also be noted that the state transition matrix must be updated at each time index.…”
Section: Extended Kalman Filter Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…Therefore, a low complexity CORDIC-based algorithm [3] was proposed previously to enable a real-time transformation of the tilting angle from the raw data of accelerometer in such system [4]. Through detailed performance analysis and improvement of the original CORDIC operations, the algorithm can reach the accuracy of 0.1 degree within 8 iterative operations of CORDIC and the execution time is 3.83 times faster than using mathematical libraries on a low power, low cost microcontroller [5].…”
Section: Introductionmentioning
confidence: 99%
“…The algorithm is based on 2D CORDIC [10] operations and can supplants the complex multiplication, division, and square-root operations required in trigonometric functions with only basic adders and binary shifters [11] for rotation of a 2D vector through a sequence of simple elementary rotations. Therefore, it can be implemented on a low cost and low power micro-controller based embedded system to provide the tilting angle information alone in real-time [12].…”
Section: Introductionmentioning
confidence: 99%