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Table 4 The simulated cycle slip pairs and their impact on artificial TECR (assuming the data interval ∆t = 1.0 second)

From: A new approach for cycle slip detection and fix using single GPS receiver’s single satellite dual frequency data containing arbitrarily large pseudorange errors

Test case 1

Test case 2

Cycle slip on GPS L1 \( {\Delta \mathrm{N}}_1^{\mathrm{p}}\left(\mathrm{k}\right) \) (cycle)

Cycle slip on GPS L2 \( {\Delta \mathrm{N}}_2^{\mathrm{p}}\left(\mathrm{k}\right) \)(cycle)

TECR caused by cycle slips \( \left[{\Delta \mathrm{N}}_1^{\mathrm{p}}\left(\mathrm{k}\right),{\Delta \mathrm{N}}_2^{\mathrm{p}}\left(\mathrm{k}\right)\right] \) (TECU/s)

δP1 = 50 m

δP2 = 50 m

δP1 = 750 m

δP2 = 1000 m

−77

−60

0.0000

−9

−7

−0.0302

−5

−4

0.2417

−4

−3

−0.2719

−1

−1

0.5135

−125

+ 11

−252.1389