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AvailabilityImprovement ofrtk GPS GPSwithIMU and Vehicle Sensors in Urban Environment ION GPS/GNSS 2012 Tk Tokyo University it of Marine Si Science and Technology Nobuaki Kubo, Chen Dihan 1

Contents Background Objective and Commercial Product Loosely coupled Integration of RTK with other sensors Proposed Technique Test Results Summary 2

Background The number of traffic accident deaths is decreasing in Japan for two decades. d Future ITS still requires more efficient transport system. Safety Energy saving Standardization What is a roll of GNSS? Transition of the number of deaths for 20 years in Japan (within 24 hours) 3

ITS and GNSS Automaticcollisionavoidance collision avoidance system have been installed recently. They are not related to GNSS. However, mostofpresent of andfuture services for ITSwillstill rely on GNSS to some extent. VICS (FM, Beacon) ETC Warning system (tight curve, fallen object) Prove system (avoid traffic jam, significant database) ITS spot Auto pilot (expressway) Auto pilot (general road) Where is your position? (10m or 1m or 10cm) 4

Two Commercial Products #1 Survey grade GNSS + DMI + military grade IMU Expensive but fully integrated turnkey position 10 cm accuracy even with one minute outage it is often used as a reference system for automobile #2 Car navigation grade grade GNSS + Speed sensor + IMU A few hundred dollars but several meters accuracy 100% coverage, g, continuous positioning 5

Performance of #2 Product Open sky: Horizontal Errors were within 3m Urban: Horizontal Errors were within 5m Dense urban: following figures Underground: 10m / minute West Shinjuku in Tokyo Maximum deviation: i about 10m (many skyscrapers) Provided by HONDA R&D 6

Our Objective Survey grade GNSS + Speed sensor + IMU Reliable RTK still requires dual frequency Low cost Prospective accuracy in safety use for ITS like lane recognition is said under 1m with continuous positions 10m 5m 1m 10cm 1cm Target Accuracy #2 Product #1 Product 1m horizontal error and 100% availability 7

Algorithm of Loosely Coupled Integration Accelerometer Vehicle Sensor Gyroscope GNSS Raw Data (+SQT) Speed Yaw Rate Velocity Movement Detection Heading Heading Filter Velocity Filter #3 Float Position #2 RTK Wrong Fix Position #1 Detection Position Filter *SQT: Signal Quality Test # : Order of Priority Navigation 8

RTK Double differenced observations LAMBDA method Ratio Test (>3) + ADOP Good Quality Observation Bad Quality Observation is included LAMBDA + Ratio Test (ADOP) LAMBDA + Ratio Test (ADOP) Reliability OK Reliability decreases 9

Signal Quality Test (Detecting dominant multipath signal) Detection method is very simple (Kubo et al, 2005) (L1+L2, 2011) C/N 0 (db Hz) PRN 15 (elevation 60 70 60) 50 estimated 40 actual data threshold 7 10dB Only reflection 30 minimum i level l Temporal variation of C/N 0 time Diffraction and reflection (dominant multipath) 10

Ambiguity Resolution with Velocity Information (Kubo et al, 2008) RTK requires initial positions (=float solutions). Instead of normal float solution, expected position ii is used. Search space can be reduced dramatically. t+1 t t 1 t 2 Expected Position(t) = Previous Fix Position(t 1) + (Velocity(t)+Velocity(t 1))/2 11

Algorithm of Loosely Coupled Integration Accelerometer Vehicle Sensor Gyroscope GNSS Raw Data (+SQT) Speed Yaw Rate Velocity Movement Detection Heading Heading Filter Velocity Filter #3 Float Position #2 RTK Wrong Fix Position #1 Detection Position Filter *SQT: Signal Quality Test # : Order of Priority Navigation 12

Heading from GPS Velocity We can not get the right heading when x k ( G, ) k gk the vehicle is stationary or in a low speed x GPS velocity measurement has a few cm/s noise 1 F x Gw y Hx v 1 t F 0 1 k k k k k k k xˆ xˆ K ( y H xˆ ) x ˆ kk kk 1 k k k kk 1 F x ˆ k 1 k k k k K P H ( H P H R ) T T k k k 1 k k k k 1 k k 1 The heading error will increase when the vehicle is moving in a high yaw rate GPS sampling is in a low rate Heading from GPS True heading P P K H P kk kk 1 k k kk 1 P FP F GQG T T k 1 k k k k k k k k R 0 2 G 0 2 g track 13

A new heading estimation algorithm Moving situations Low speed (from vehicle speed sensor) Normal speed with low yaw rate and HDOP<5 with low yaw rate and HDOP>5 with high h yaw rate and HDOP<5 with high yaw rate and HDOP>5 Speed threshold : 1 m/s Yaw rate threshold : 4 deg/s The measurement covariance will be updated in each state. Error (deg g) No smoothed / std=0.64 Error (deg g) Smoothed by IMU / std=0.29 Not include stop and low speed 14

Algorithm of Loosely Coupled Integration Accelerometer Vehicle Sensor Gyroscope GNSS Raw Data (+SQT) Speed Yaw Rate Velocity Movement Detection Heading Heading Filter Velocity Filter #3 Float Position #2 RTK Wrong Fix Position #1 Detection Position Filter *SQT: Signal Quality Test # : Order of Priority Navigation 15

Wrong fix Detection Calculate the change of the altitude t 2 h vsin( ) dt t1 is the pitch angle change deduced from a pitch rate gyro Velocity in vertical direction from GPS is also used Epochs of t1 and t2 are used when the RTK GPS is available. lbl Bad quality carrier phase can be often received in t2 (re tracking). Maximum threshold Outage of RTK GPS Minimum i thresholdh An example of the threshold of height 16

Automobile Experimental Tests Test1 (only RTK): Tokyo(2011) Test2 (RTK+IMU+Speed): Nagoya(2010) GPS Receiver NovAtel OEM5 or JAVAD Delta (CS=100s) Antenna NovAtel GPS702or JAVAD RegAnt IMU Crossbow IMU 440 (MEMS) Speed sensor True position Baseline Mask angle HDOP threshold h 10 Standardvehicle loaded wheelspeedsensors sensors POS/LV (Applanix) (positional accuracy within 10cm/1min outage ) within 10 km 15 degrees 17

Tokyo (Test1) (Open 10% Ub Urban 50% Dense 40%) Ttl Total period: 1hour Data rate: 5Hz JAVADDelta+RegAnt Delta Relatively wide road Around Tokyo Station 18

RTK Performance (Test1) Availability and percentage within 50 cm in horizontal error GPS GPS+QZS DGPS 69.6% 84.7% Normal RTK 17.6% (99.2%) 31.7% (99.7%) +signal quality test 15.7% (99.8%) 36.0% (100%) +velocity information 21.2% (99.8%) 43.5% (100%) Total: 17800 epochs (5Hz) (): percentage within 50 cm 4.5 GPS QZS Satellite Constellation 19

Temporal Horizontal Errors (Test1) (GPS+QZS, Best case in RTK) 2 Ab bsolute Horiz zontal Error (m) 1.5 1 0.5 0 176500 177000 177500 178000 178500 179000 179500 180000 180500 181000 GPSTIME (s) 7737 / 17800 epochs 20

Nagoya (Test2) (Open 0% Urban 40% Dense 50% No Sky 10%) QZS was not evaluated Ttl Total period: 27min NovAtel OEM5+ GPS702 Data rate: 10Hz POS/LV was used to evaluate the precise temporal errors. Relatively wide road Good GPS Constellation Average speed was 3.5m/s Test Route No Sky 21

Number of Used Satellites (Test2) Average NUS in reference > > 7.1 71 Average NUS in rover > 3.2 L1 + L2 carrier phase are valid Percentage with 4 or more satellites: 42% Over 50 are not displayed 22

RTK Performance (Test2) Availability and percentage within 1 m in horizontal error GPS DGPS 51.0% (55.3%) Normal RTK 12.4% (88.9%) +signal qualitytest 13.0% (98.4%) +velocity information 32.0% (94.8%) +ADOP < 025 0.25 20.0% 0% (99.8%) Total: 16270 epochs (10Hz) (): percentage within 1 m for integration The rest of 68 % positions have to be generated from filtered DGPS or INS using our proposed integration method. 23

Wrong Fix Detection Summary (Test2) Abso olute Horizont tal Errors (m) Temporal Horizontal Errors in RTK (32% of all) 5 4 3 2 1 0 351000 351500 352000 352500 353000 GPSTIME (s) Horizontal Statistics Errors (m) Wrong fix Detection 1m-2m 13 9 2m-3m 3 3 >3m 259 259 Most of wrong fixes were dt detected td! Altitude in RTK (m) Actual Wrong Fix Detection Example 44 42 40 38 36 34 32 30 351438 351439 351440 351441 GPSTIME (s) 24

Total Performance (Test2) Statistics Horizontal Errors (m) N Percentage <=1m <1m 13379 82.2 >1m 2891 17.8 25

Total Horizontal Positions (Test2) RTK-GPS fixed positions 32% of all (5219 of 16270epochs) Positions given by our proposed p integration system 68% of all (11051 of 16270epochs) = 100 % 26

Summary Our proposed signal quality test and velocity use for the reliability and availability in RTK were quite effective in urban environment. However, there are still wrong fixes. Loosely coupled ldintegration i (GPS+IMU+Speed) S method was proposed and availability was improved from 32% to 100%. Accuracy deterioration was small using IMU and Speed. Multi GNSS and Multi Frequency is clear in future. As QZS was effective in RTK, the performance of RTK in urban environment must be improved. What is an appropriate application in the level of 1m accuracy? 27

Thank you for your attention! nkubo@kaiyodai.ac.jp Acknowledgements I would like to thank the Toyota central R&D for their valuable experimental data. Financial support was partly provided by Space Use Promotion Grant from Ministry of Education, Culture, Sports, Science and Technology. 28