Combating digitizing errors in GNSS-receivers

A.J.R.M. Ton Coenen

Abstract: The paper offers novel and indispensable design tools for minimizing the influence of the inherently originating phase errors due to the digitizing process by discrete-time sampling. For combating these digitizing errors by sampled-data interpolation, the paper provides the designer of novel GNSS receivers with powerful means for making tradeoffs between accuracy, circuit complexity (hardware (HW)) and computational efficiency (software (SW)). The introduced generic quality metric (being the error/oversampling-decade and defined in the frequency domain) makes a near-exact quantitative comparison possible within a chosen sampled-data-interpolation method as well as between all current methods. Compared to oversampling alone (i.e. the simplest interpolation method), all shown error curves related to Lagrange interpolation clearly demonstrate a dramatically improvement in feasible interpolation quality after a relatively small investment in oversampling. Especially when "inverse" Lagrange interpolation will be applied, the quality metric proves its added value for many navigational applications. Inverse interpolation enables e.g., direct accurate and iteration-free time measurements between consecutive signal extremes (synchronization) and identical signal shapes (interference detection/reduction).
Published in: Proceedings of the 57th Annual Meeting of The Institute of Navigation (2001)
June 11 - 13, 2001
Albuquerque, NM
Pages: 501 - 507
Cite this article: Coenen, A.J.R.M. Ton, "Combating digitizing errors in GNSS-receivers," Proceedings of the 57th Annual Meeting of The Institute of Navigation (2001), Albuquerque, NM, June 2001, pp. 501-507.
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