1.4.3 Positioning Strategies

RECEIVER-BIASED
RANGE-DIFFERENCE POSITIONING



Is there an alternative to this scheme of using four biased ranges to solve for four parameters? The observations can be differenced in the following way:

 (1.4-6)

This scheme is illustrated in the Figure below. Three independent "between-satellite" differences have been generated, in which the receiver clock parameter has been eliminated. As before, the observation equations can be linearised and obtain an estimate of the 3-D coordinates can be obtained. The solution would be equivalent (same 3-D coordinate components and variance-covariance matrix) to explicitly estimating the clock error as an additional parameter.

 



Figure 1. Between-satellite differencing to eliminate receiver clock error from ranges.

 

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© Chris Rizos, SNAP-UNSW, 1999