Noise characteristics of high-frequency, short-duration GPS records from analysis of identical, collocated instruments

High-rate (>1 Hz) GPS, currently used for measurement of dynamic processes and as a universal time and frequency standard, is usually assumed to be affected by site-specific errors and only limited studies of the error properties of high-frequency (10 Hz), short-duration (<100 s) GPS records exist. Preliminary studies, provided evidence of instrument-specific errors, which were investigated on the basis of systematic experiments with various types of stationary, collocated, identical GPS units. This analysis revealed differences between couples of receiver/antenna units, while spectral analyses revealed low-frequency colored noise, statistically significant below 0.2 Hz and, gradually decaying with increasing duration of observations, so that above 2.5 Hz measurements are contaminated only by white noise. These results explain why long duration GPS records and the high-frequency component of very short-duration records are practically free of colored noise and why spectra of noisy records are accurate, and hence indicate that GPS is suitable for monitoring of dynamic effects.

[1]  Shun-ichi Nakamura,et al.  GPS MEASUREMENT OF WIND-INDUCED SUSPENSION BRIDGE GIRDER DISPLACEMENTS , 2000 .

[2]  Penina Axelrad,et al.  Improving the precision of high-rate GPS , 2007 .

[3]  Fanis Moschas,et al.  Measurement of the dynamic displacements and of the modal frequencies of a short-span pedestrian bridge using GPS and an accelerometer , 2011 .

[4]  É. Calais,et al.  Continuous GPS measurements across the Western Alps, 1996–1998 , 1999 .

[5]  Erry Gunawan,et al.  Multipath Mitigation Technique Based on Partial Autocorrelation Function , 2007, Wirel. Pers. Commun..

[6]  Luo Hai-ying.  Navigation solution under rotary multi-antenna conditions , 2010 .

[7]  Alan Dodson,et al.  Integrating a Global Positioning System and Accelerometers to Monitor the Deflection of Bridges , 2004 .

[8]  Yehuda Bock,et al.  Detection of arbitrarily large dynamic ground motions with a dense high‐rate GPS network , 2004 .

[9]  F. Brunner,et al.  GPS signal diffraction modelling: the stochastic SIGMA-δ model , 1999 .

[10]  Michael A. Lombardi,et al.  The Use of GPS Disciplined Oscillators as Primary Frequency Standards for Calibration and Metrology Laboratories , 2008 .

[11]  Stathis C. Stiros,et al.  Spectral analysis of unevenly spaced or discontinuous data using the normperiod code , 2008 .

[12]  In-Su Lee,et al.  The performance of RTK-GPS for surveying under challenging environmental conditions , 2006 .

[13]  Stathis C. Stiros,et al.  A review of surveying methods for sports and leisure , 2008 .

[14]  Alison Brown,et al.  Test Results from a Precise Positioning and Attitude Determination System for Microsatellites using a Software-Defined Radio , 2008 .

[15]  David M. Boore,et al.  Some Observations on Colocated and Closely Spaced Strong Ground- Motion Records of the 1999 Chi-Chi, Taiwan, Earthquake , 2003 .

[16]  Chris Rizos,et al.  GPS seismometers with up to 20 Hz sampling rate , 2000 .

[17]  A. Amiri-Simkooei,et al.  Assessing receiver noise using GPS short baseline time series , 2006 .

[18]  Christopher Watson,et al.  Structural Monitoring of Cable-Stayed Bridge: Analysis of GPS versus Modeled Deflections , 2007 .

[19]  Chris Rizos,et al.  Multipath Mitigation of Continuous GPS Measurements Using an Adaptive Filter , 2000, GPS Solutions.

[20]  Stathis C. Stiros,et al.  Monitoring dynamic and quasi-static deformations of large flexible engineering structures with GPS: Accuracy, limitations and promises , 2006 .

[21]  G. Roberts,et al.  EXPERIMENTAL MONITORING OF THE HUMBER BRIDGE USING GPS. , 1997 .

[22]  Friedrich Karl Brunner.  Bridge Monitoring: external and internal sensing issues , 2006 .

[23]  C. Fuggini,et al.  Engineering vibration monitoring by GPS: long duration records , 2009 .

[24]  Alan Dodson,et al.  Detecting bridge dynamics with GPS and triaxial accelerometers , 2007 .

[25]  P. Axelrad,et al.  Using GPS multipath to measure soil moisture fluctuations: initial results , 2008 .

[26]  T. Dixon,et al.  Noise in GPS coordinate time series , 1999 .

[27]  Pascal Willis,et al.  Error Analysis of Weekly Station Coordinates in the DORIS Network , 2006 .

[28]  Yozo Fujino,et al.  Structural Health Monitoring and Intelligent Infrastructure , 2005 .

[29]  Bernhard Heck,et al.  Impact of temporal correlations on GPS-derived relative point positions , 1999 .

[30]  Peter Bona,et al.  Precision, Cross Correlation, and Time Correlation of GPS Phase and Code Observations , 2000, GPS Solutions.

[31]  Hyo Seon Park,et al.  Application of GPS to monitoring of wind‐induced responses of high‐rise buildings , 2008 .

[32]  Maurizio Barbarella,et al.  Kinematic GPS survey as validation of LIDAR strips accuracy , 2006 .

[33]  G. Brumfiel.  Particles break light-speed limit , 2011 .

[34]  O. Torres,et al.  Utilizing calibrated GPS reflected signals to estimate soil reflectivity and dielectric constant: Results from SMEX02 , 2006 .

[35]  Yehuda Bock,et al.  Instantaneous geodetic positioning at medium distances with the Global Positioning System , 2000 .

[36]  Alan Dodson,et al.  Multipath Mitigation for Bridge Deformation Monitoring , 2002 .

[37]  Yehuda Bock,et al.  Instantaneous geodetic positioning with 10–50 Hz GPS measurements: Noise characteristics and implications for monitoring networks , 2006 .

[38]  J. Stewart,et al.  KINEMATIC SOIL-STRUCTURE INTERACTION FROM STRONG MOTION RECORDINGS , 2003 .

[39]  A. Amiri-Simkooei,et al.  Noise in multivariate GPS position time-series , 2009 .

[40]  Ahsan Kareem,et al.  Experimental Verification and Full-Scale Deployment of Global Positioning Systems to Monitor the Dynamic Response of Tall Buildings , 2006 .

[41]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[42]  Nicola D'Agostino,et al.  Very high rate (10 Hz) GPS seismology for moderate-magnitude earthquakes: The case of theMw6.3 L'Aquila (central Italy) event , 2011 .

[43]  B Görres,et al.  Absolute calibration of GPS antennas: laboratory results and comparison with field and robot techniques , 2006 .

[44]  Wujiao Dai,et al.  An integrated GPS–accelerometer data processing technique for structural deformation monitoring , 2006 .

[45]  Stathis C. Stiros,et al.  Measurement of deflections and of oscillation frequencies of engineering structures using Robotic Theodolites (RTS) , 2007 .

[46]  Matt A. King,et al.  Apparent stability of GPS monumentation from short‐baseline time series , 2009 .

[47]  M. P. Norton,et al.  Fundamentals of Noise and Vibration Analysis for Engineers , 1990 .

[48]  Wujiao Dai,et al.  Assessment of Dynamic Measurement Accuracy of GPS in Three Directions , 2006 .

[49]  Li-ren Huang,et al.  Analysis on the noises from continuously monitoring GPS sites , 2007 .

[50]  Ricardo Ernesto Schaal,et al.  Measuring Dynamic Oscillations of a Small Span Cable-Stayed Footbridge: Case Study Using L1 GPS Receivers , 2009 .

[51]  Alan Dodson,et al.  High Frequency Deflection Monitoring of Bridges by GPS , 2004 .

[52]  Chalermchon Satirapod,et al.  Analysis of high-frequency multipath in 1-Hz GPS kinematic solutions , 2007 .

[53]  Yehuda Bock,et al.  High‐rate real‐time GPS network at Parkfield: Utility for detecting fault slip and seismic displacements , 2004 .

[54]  Pawel Wielgosz,et al.  An analysis of the effects of different network-based ionosphere stimation models on rover positioning accuracy , 2004 .

[55]  Chris Rizos,et al.  A DYNAMIC GPS SYSTEM FOR ON-LINE STRUCTURAL MONITORING , 2001 .

[56]  James L. Davis,et al.  Accuracy of high‐rate GPS for seismology , 2006 .

[57]  D. Agnew,et al.  The time-domain behavior of power-law noises. [of many geophysical phenomena] , 1992 .

[58]  T. Kijewski-Correa,et al.  Monitoring the wind-induced response of tall buildings: GPS performance and the issue of multipath effects , 2007 .

[59]  Shun-ichi Nakamura,et al.  Lateral vibration of footbridges by synchronous walking , 2006 .

[60]  James L. Davis,et al.  Characterization of site‐specific GPS errors using a short‐baseline network of braced monuments at Yucca Mountain, southern Nevada , 2009 .

[61]  S. Pagiatakis,et al.  Stochastic significance of peaks in the least-squares spectrum , 1999 .

[62]  N. Lomb.  Least-squares frequency analysis of unequally spaced data , 1976 .

[63]  A. Tokay,et al.  Error Characteristics of Rainfall Measurements by Collocated Joss–Waldvogel Disdrometers , 2005 .

[64]  Charles R. Hutt,et al.  Self-Noise Models of Seismic Instruments , 2009 .

[65]  Thomas A. Herring,et al.  Geodetic applications of GPS , 1999, Proc. IEEE.

[66]  J. Scargle.  Studies in astronomical time series analysis. II - Statistical aspects of spectral analysis of unevenly spaced data , 1982 .

[67]  Christian Tiberius,et al.  VARIANCE COMPONENT ESTIMATION AND PRECISE GPS POSITIONING: CASE STUDY , 2003 .

[68]  Yehuda Bock,et al.  Southern California permanent GPS geodetic array: Error analysis of daily position estimates and site velocities , 1997 .

[69]  Stathis C. Stiros,et al.  Experimental Assessment of the Accuracy of GPS and RTS for the Determination of the Parameters of Oscillation of Major Structures , 2008, Comput. Aided Civ. Infrastructure Eng..

[70]  Chris Rizos,et al.  Detection of Wind-Induced Response by Wavelet Transformed GPS Solutions , 2003 .

[71]  Yukio Tamura,et al.  Full-scale structural monitoring using an integrated GPS and accelerometer system , 2006 .

[72]  C. Fuggini,et al.  Monitoring a steel building using GPS sensors , 2011 .

[73]  S. Stiros,et al.  Potential of Global Positioning System (GPS) to measure frequencies of oscillations of engineering structures , 2008 .

[74]  Yehuda Bock,et al.  Error analysis of continuous GPS position time series , 2004 .

[75]  Jonathan P. Stewart,et al.  Effects of time series analysis protocols on transfer functions calculated from earthquake accelerograms , 2008 .

[76]  J. Nocquet,et al.  Slip distribution of the February 27, 2010 Mw = 8.8 Maule Earthquake, central Chile, from static and high‐rate GPS, InSAR, and broadband teleseismic data , 2010 .

[77]  Daniele Borio,et al.  Interference Mitigation for Highly Dynamic GPS Receivers Using Intelligent Tracking Loops , 2011 .