GNSS Guaranteed OD&TS Performance Optimisation by the Innovative MiniMax Estimate Approach

Takeyasu Sakai, Hideki Yamada, and Kazuaki Hoshinoo

Abstract:	The main problem that restrained the progress in GNSS Cost/Effectiveness optimization now is the absence of an robust Estimator that could performed an guaranteed and optimal a priory ODTS accuracy estimation of the modern and future GNSSs and by this way to provide it’s Cost/Effectiveness optimization. All GNSS Simulators [1] developed up to now in Russia, USA and others Countries are based on the classical Least Square (LSQ) Algorithm or his modification Kalman Filter that are optimal for a real observation processing, but not suitable for a priory GNSS ODTS performance estimation. To resolve the Problem, the innovative MiniMax (MMX) Estimated Approach was proposed in 1964 by M.Lidov in Russia and developed by him and other Russian scientist as an alternative to traditional LSQ and Kalman Filters for a priory ODTS accuracy estimation without disadvantages of the last filters. The MMX Approach is based on the arbitrary (worst) correlated models of the measurement errors and perturbed factors and on the Linear Programming Theory, which, in combination, are provided an optimal and guaranteed a priory accuracy of the SV ODTS performance estimation and also optimal measurement strategy planning. The first practical application of the MMX Approach had been realised by author for Russian TDRSS OD&TS performance optimisation in 1975-85[1-4]. M. Lidov had participated in this activity on the first phase. The first, but not successful attempt of the MMX Approach application for Russian GLONASS System have been done by L. Belousov [6, 16]. Unfortunately, in his MMX Estimator L. Belousov, as well as others scientists in they Simulators [1], does not simulated the principal GNSS Algorithm of the NAV Massage Uploads and by this case the result of MMX application for the GLONASS ODTS a priory accuracy estimation was negative and MMX approach was not officially applied after during about then years. The paper presents the results of the revised MMX Approach application for the modern and future GPS and Russian GLONASS Systems guaranteed OD&TS accuracy optimisation with updated models of PR errors and perturbed factors and, also, with NAV message uploads accounting.
Published in:	Proceedings of the 25th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2012) September 17 - 21, 2012 Nashville Convention Center, Nashville, Tennessee Nashville, TN
Pages:	843 - 853
Cite this article:	Sakai, Takeyasu, Yamada, Hideki, Hoshinoo, Kazuaki, "GNSS Guaranteed OD&TS Performance Optimisation by the Innovative MiniMax Estimate Approach," Proceedings of the 25th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2012), Nashville, TN, September 2012, pp. 843-853.
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