6.4.8 Dual Frequency Relations

PSEUDO-RANGE & PHASE DATA COMBINATIONS FOR AMBIGUITY RESOLUTION

 


The combination of eqns (6.4-14) and (6.4-15) leads to the following "geometry-free" relation (neglecting noise terms):

(6.4-24)

Eqn (6.4-17) can be modified to include the P(L6) narrow-lane component (eqn (6.4-21)):

(6.4-25)

where the wide-lane ambiguity can be isolated (Note, small noise on P(L6)):

(6.4-26a)

Using a similar approach leads to an ionosphere-free expression for the narrow-lane ambiguity (note, unlikely to be useful because of high noise on P(L5)):

(6.4-26b)

A combination of eqns (6.4-24) and (6.4-25) leads to the following "four observable" linear combination from which the L1 and L2 ambiguities have been isolated:

(6.4-27)

This relation has a role to play both in aiding ambiguity resolution and for cycle slip detection and repair.

Under Anti-Spoofing it may not be possible to have P code pseudo-ranges from some dual-frequency instruments (some instruments are capable of outputting P(L4) directly but not its components P(L1) and P(L2)). Often there will only be three observables : P(L1) (usually just the C/A code pseudo-range measurement), (L1) and (L2). A linear combination of these (after eliminating the geometric range and ionospheric term from the relevant observation equations) is:

(6.4-28)


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© Chris Rizos, SNAP-UNSW, 1999