6.4.5 Dual Frequency Relations

"NARROW-LANE" COMBINATION



The L6 or "narrow-lane" observable is obtained by adding the two phase equations (L1+L2) expressed in cycles:

(6.4-18)

The effective wavelength of this observable is very small: 0.10 metres. The n6 ambiguity is n1 + n2, and is therefore still an integer.

In metric units, upon multiplying eqn (6.4-18) by the wavelength 6:

(6.4-19a)

or in terms of the L1 ionospheric delay (using eqn (6.4-2)):

(6.4-19b)

The L6 ionospheric effect is approximately 1.28 times that on L1 (1.28 f1 / f2). However the noise on the L6 observables is very small (Table in section 6.4.6).

Another expression for the L3 ionosphere-free observable is to sum eqns (6.4-17) and (6.4-19) and divide by two:

(6.4-20a)

Similarly, an expression for the P3 ionosphere-free combination is:

(6.4-20b)

In the case of pseudo-range observations the equivalent narrow-lane expression is:

(6.4-21)

(Hint: convert eqns (6.4-10) to cycles, sum the expressions and then scale them back to metric units using 6). The narrow-lane pseudo-range is therefore delayed by the ionosphere (range too long), while the narrow-lane phase is advanced by the ionosphere (phase-range too short). This is the opposite to what happens with the wide-lane observables.

 


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© Chris Rizos, SNAP-UNSW, 1999