An reinforced grouping and medium is unconcealed for dynamically estimating the production variances of carrier-smoothing filters used, for example, in GPS receivers. By accurately estimating the production variances of the carrier-smoothing filters as they transformation from formatting to steady-state operation, it is doable to intend some required endorsement levels without having to move for the filters to full stabilize. As digit example, a grouping for estimating production variances of a carrier-smoothing separate for play with in a equipment guidance grouping earpiece is disclosed, which includes a plurality of smoothing filters related with a guidance processing organisation in a equipment guidance receiver. One or more processors related with the guidance processing organisation executes an formula for apiece smoothing filter, which provides a medium for dynamically conniving an production dissension for a individual smoothing separate as it transitions in salutation to just arrived signaling dissension values. The medium also predicts the sinking saucer of the production dissension for that smoothing separate presented a ordered of pseudorange and carrier-phase values to be applied. Therefore, using this new production dissension prevision method, exactitude guidance applications much as, for example, airborne GPS-based exactitude construction grouping applications may begin dealings with fit premeditated endorsement take values without having to move for the smoothing filters to stabilize. Thus, much exactitude construction systems are around now for play with as urgently as the required endorsement take values are reached.

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