instantaneous ambiguity resolved glonass fdma attitude ...€¦ · epoch number-0.05 0 0.05 up [m]...

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Instantaneous Ambiguity Resolved GLONASS FDMA Attitude Determination G1 – Geodetic Theory and Algorithms --- G1.3 High-precision GNSS: methods, open problems and Geoscience applications PJG Teunissen 1,2 , A. Khodabandeh 3 , S. Zaminpardaz 4 1 GNSS Research Centre, Curtin University, Perth, Australia 2 Geoscience and Remote Sensing, Delft University of Technology, The Netherlands 3 University of Melbourne, Melbourne, Australia 4 RMIT University, Melbourne, Australia

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Page 1: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Instantaneous Ambiguity Resolved GLONASS FDMA Attitude Determination

G1 – Geodetic Theory and Algorithms --- G1.3 High-precision GNSS: methods, open problems and Geoscience applications

PJG Teunissen1,2, A. Khodabandeh3, S. Zaminpardaz4

1GNSS Research Centre, Curtin University, Perth, Australia2Geoscience and Remote Sensing, Delft University ofTechnology, The Netherlands3University of Melbourne, Melbourne, Australia4RMIT University, Melbourne, Australia

Page 2: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble
Page 3: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

EXAMPLE

Page 4: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble
Page 5: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 5

Page 6: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 6

Page 7: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 7

0

0.1

0.2

0.3

0.4

0.5

ADO

P [c

ycle

]

0 3600 7200 10800 14400 18000

Epoch number

4

6

8

10

# sa

tellit

es

-0.03 -0.02 -0.01 0 0.01 0.02 0.03

East [m]

-0.03

-0.02

-0.01

0

0.01

0.02

0.03

Nor

th [m

]

0 3600 7200 10800 14400 18000

Epoch number

-0.10

0

0.10

Up

[m]

Dual-frequency, single-epoch GLONASS positioning

Instantaneous Integer-Fixed GLONASS Positioning

Page 8: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 8

-3 -2 -1 0 1 2 3

East [m]

-3

-2

-1

0

1

2

3

Nor

th [m

]

L1 GPS

-10

-5

0

5

10

Up

[m]

0 576 1152 1728 2304 2880

Epoch number

0

0.15

0.3

[cyc

le]

0 576 1152 1728 2304 2880

-0.05

0

0.05

-0.02 0 0.02

-0.02

0

0.02

Single-frequency, Single-System, GPS Single-Epoch positioning

(Perth, Australia):

JAVAD TRE-G3T DELTA receivers and Trimble TRM59800.00 antennae

Page 9: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 9

-3 -2 -1 0 1 2 3

East [m]

-3

-2

-1

0

1

2

3

Nor

th [m

]

L1 GPS + L1 GLONASS

-10

-5

0

5

10

Up

[m]

0 576 1152 1728 2304 2880

Epoch number

0

0.15

0.3

[cyc

le]

0 576 1152 1728 2304 2880

-0.05

0

0.05

-0.02 0 0.02

-0.02

0

0.02

Single-frequency, Dual-System, Single-Epoch positioning

(Perth, Australia):

JAVAD TRE-G3T DELTA receivers and Trimble TRM59800.00 antennae

Page 10: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 10

Single-frequency, Dual-System, Low-Cost, Single-Epoch positioning (Dunedin, New Zealand):

U-blox ZED F9P receivers and Trimble Zephyr 2 antennae

Page 11: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 11

-0.01 -0.005 0 0.005 0.01

East [m]

-0.01

-0.005

0

0.005

0.01

Nor

th [m

]

GPS (code & phase) + GLONASS (phase)

0 2160 4320 6480 8640 10800

Epoch number

-0.05

0

0.05

Up

[m]

-0.01 -0.005 0 0.005 0.01

East [m]

-0.01

-0.005

0

0.005

0.01

Nor

th [m

]

GPS (phase) + GLONASS (phase)

0 216 432 648 864 1080

Epoch number

-0.05

0

0.05

Up

[m]

Single-epoch Multi-epoch (10 epochs)

Mixed-receivers GLONASS Phase-only IAR: Trimble NetR9 and U-blox M8T

(Delft, The Netherlands)

Page 12: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

The GNSS Compass Model for Direction-Finding

Solved with C-LAMBDA method(Teunissen, 2010)

Page 13: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 13

GLONASS single-frequency, single-epoch direction finding

Grey: ambiguity float solutionRed: wrong integer fixesGreen: correct integer fixes

Page 14: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 14

GLONASS single-frequency, single-epoch direction finding

Page 15: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Page 15

GLONASS single-frequency, single-epoch direction finding

Grey: ambiguity float solutionRed: wrong integer fixesGreen: correct integer fixes

Page 16: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

Conclusions:

With the above performance studies, we have only presented a few of the many possible applications of the new GLONASS FDMA model (1).

Many more can be considered, such as those for long baselines, network-RTK, PPP-RTK and even for the direct combination of current GLONASS FDMA with its near-future GLONASS CDMA that is currently under development.

We therefore believe that the flexibility of the model and its close resemblance to CDMA models open up a whole variety of carrier-phase-based GNSS applications that have hitherto been a challenge for GLONASS ambiguity resolution.

Page 17: Instantaneous Ambiguity Resolved GLONASS FDMA Attitude ...€¦ · Epoch number-0.05 0 0.05 Up [m] Single-epoch Multi-epoch (10 epochs) Mixed-receivers GLONASS Phase-only IAR: Trimble

1717IUGG General Assembly, 8-18 July, 2019, Montreal, Canada

Selected References

- Teunissen P.J.G. (2010): Integer least-squares theory for the GNSS compass. J Geod (2010) 84:433–447

- Giorgi et al. (2010): Testing a new multivariate GNSS carrier phase attitude determination method forremote sensing platforms.

- Giorgi et al. (2012): Instantaneous Ambiguity Resolution in Global-Navigation-Satellite-System-BasedAttitude Determination Applications: A Multivariate Constrained Approach. JOURNAL OF GUIDANCE,CONTROL, AND DYNAMICS Vol. 35, No. 1, January–February 2012

- Teunissen P.J.G. (2019): A New GLONASS FDMA Model. GPS Solutions, doi:10.1007/s10291-019-0889-0

- Teunissen P.J.G., Khodabandeh A. (2019): GLONASS Ambiguity Resolution. GPS Solutions,doi:10.1007/s10291-019-0890-7