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Measuring the true Integrity of Navigation in Real-Time

Measuring the true Integrity of Navigation in Real-Time. Antti A. I. Lange PhD www. FKF .net. Overview: • Integrity of Optimal Kalman filter ing • Helmert-Wolf blocking ( HWB ) of Geodesy • the Fast Kalman Filtering ( FKF ) uses HWB • Measuring the true integrity by

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Measuring the true Integrity of Navigation in Real-Time

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  1. Measuring the true Integrity of Navigation in Real-Time Antti A. I. Lange PhD www.FKF.net

  2. Overview: • Integrityof Optimal Kalman filtering • Helmert-Wolf blocking (HWB) of Geodesy • the Fast Kalman Filtering (FKF) uses HWB • Measuring the true integrity by C.R.Rao’s MINQUE withFKF • Concluding remarks

  3. Integrity of Optimal Kalman Filtering:

  4. Fast Kalman processing

  5. Minimum-Norm-Quadratic-Unbiased-Estimation (MINQUE) theory: The measuring accuracies of many correlated observations was solved reliably in1970 by C.R.Rao’sMINQUE that optimally exploits internal consistency of the GNSS and other supporting data

  6. Concluding remarks: • The Fast Kalman Filtering (FKF) using the HWb method extends the precision of Real-Time-Kinematic (RTK) and Virtual-Refence-Station (VRS) surveying to all GNSS engineering and precision navigation applications • The real-time precision of the FKF navigation depends crucially on local information density which is a function of both speed of the vehicle and the number of available GNSS signals and frequencies including INS and other signals • Ultra-reliable accuracy estimates of the GNSS and other signals including IMU are operationally computable only using the Minimum-Norm-Quadratic-Unbiased-Estimation (MINQUE) methods with the help of the patented FKF (PCT/FI2007/00052)

  7. Concluding remarks cont'd: • Early warnings of tsunamis, earth quakes, shaking buildings and collapsing bridges etc. become now possible with GPS, Glonass, Galileo, Beidou, IRNSS, DORIS, QZSS, SBAS, GBAS and other positioning methods exploiting all available combinations for absolutely the best possible results •Project proposals for expedient implementation of the FKF processing are now welcome for ultra-reliable precision piloting and navigation for all safety-critical ITS applications • Please contact directly the inventor of FKF: Mr. Antti A. I. Lange Ph.D., +358400373182 or +35891355450, lange@fkf.net, www.FKF.net, skype: kalmanfilter.

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