SPECTRAL AND STOCHASTIC METHODS

Course Information
TitleΦΑΣΜΑΤΙΚΕΣ ΚΑΙ ΣΤΟΧΑΣΤΙΚΕΣ ΜΕΘΟΔΟΙ / SPECTRAL AND STOCHASTIC METHODS
CodeΓΠ0216
FacultyEngineering
SchoolRural and Surveying Engineering
Cycle / Level2nd / Postgraduate
Teaching PeriodWinter/Spring
CommonNo
StatusActive
Course ID20000082

Programme of Study: PPS Geoinformatics (2014-2015)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
Modern Geodetic ApplicationsCompulsory Course217.5

Programme of Study: PPS Geoinformatics (2006-today)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
Contemporary Geodacy ApplicationsCompulsory Course215

Class Information
Academic Year2018 – 2019
Class PeriodSpring
Faculty Instructors
Weekly Hours4
Class ID
600128837
Course Type 2016-2020
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
Language of Instruction
  • Greek (Instruction)
Prerequisites
General Prerequisites
Recommended undergraduate courses: INTRODUCTION TO THE GRAVITY FIELD, POTENTIAL THEORY, SIGNALS AND SPECTRAL METHODS IN GEOINFORMATICS, PHYSICAL GEODESY
Learning Outcomes
Advanced aspects of the stochastic and spectral approximation of the components of the Earth’s gravity field. The satellite missions of CHAMP, GRACE, GOCE and the gravity field. Applications of spectral and stochastic methods in geosciences. Software development for the computation of different components of the Earth’s gravity field using spectral and stochastic techniques.
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Make decisions
  • Work autonomously
  • Work in an international context
  • Work in an interdisciplinary team
  • Generate new research ideas
Course Content (Syllabus)
Fourier and Hartley transforms in the plane and on the sphere. Hankel and Radon transforms. The input-output systems and their spectral representation. Parametric least-squares collocation. The Earth’s gravity field and its stochastic approximation. Combination of spectral and stochastic methods for applications in geosciences. Spectral analysis on the sphere. Spherical harmonic analysis and synthesis. Isostasy and gravity field. Spectral and hybrid methods in topographic mass modeling.
Educational Material Types
  • Notes
  • Slide presentations
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Course Teaching
  • Use of ICT in Laboratory Teaching
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures30
Reading Assigment
Written assigments
Total30
Student Assessment
Description
Final written and oral exams and presentation of the semester projects.
Bibliography
Course Bibliography (Eudoxus)
Φυσική γεωδαισία, Κατσάμπαλος Κώστας, Τζιαβός Ηλίας, Κωδικός Βιβλίου στον Εύδοξο: 11452 Εισαγωγή στο πεδίο βαρύτητας της γης, Αραμπέλος Δημήτριος Ν., Τζιαβός Ηλίας Ν., Κωδικός Βιβλίου στον Εύδοξο: 11271
Additional bibliography for study
Arabelos, D. and Tziavos, I.N. (1990). Sea surface heights in the Mediterranean sea from GEOSAT altimeter data. J. Geophys. Res., 95, 17947-17956. Arabelos, D. and Tziavos, I.N. (1996). Combination of ERS-1 and TOPEX altimetry for precise geoid and gravity recovery in the Mediterranean Sea. Geophys. J. Int., 125, 285-302. Barzaghi, R., Fermi, A., Tarantula, S. and Sansò, F. (1993). Spectral techniques in inverse Stokes and overdetermined problems. Surveys in Geophysics, 14, 461-475. Basic, T. and Rapp, R.H. (1992). Ocean wide prediction of gravity anomalies and sea surface heights using GEOS3, SEASAT and GEOSAT altimeter data, and ETOPO5U bathymetric data. Report No 416, Department of Geodetic Science and Surveying, The Ohio State University, Columbus, Ohio. Bendat, J.S. and Piersol, A.G. (1980). Engineering applications of correlation and spectral analysis. John Wiley and Sons, New York. Bendat, J.S. and Piersol, A.G. (1986). Random data: Analysis and measurement procedures. 2nd edition, John Wiley and Sons, New York. Bottoni, G.P. and Barzaghi, R. (1993). Fast collocation, Bull. Géod., 67, 119-126. De Min, E. (1994). On the numerical evaluation of Stokes' integral. Bulletin of International Geoid Service, No 3, 41- 46. Eren, K. (1980). Spectral analysis of GEOS3 altimeter data and frequency domain collocation. Report No 297, Department of Geodetic Science and Surveying, The Ohio State University, Columbus, Ohio. Grote, T., 1993: A regional cm-quasigeoid in northwestern Germany. Paper presented at the General Meeting of IAG, Beijing, China. Hwang, C. (1989). High precision gravity anomaly and sea surface height estimation from Geos3/Seasat altimetry data. Report No 399, Department of Geodetic Science and Surveying, The Ohio State University, Columbus, Ohio. Li, J. and Sideris, M.G. (1997). Marine gravity and geoid determination by optimal combination of satellite altimetry and shipborne gravimetry data. Presented at the XXI IUGG General Assembly, Boulder, Colorado, July 2-4, 1995. Journal of Geodesy, 71(4), 209-216. Li, J. (1996). Detailed marine gravity field determination by combination of heterogeneous data. UCGE Report No 20102, M. Sc. Thesis, Dept. of Geomatics Eng., The Univ. of Calgary, Canada. Mainville, A., Forsberg, R. and Sideris, M.G.(1992). Global Positioning System testing of geoids computed from geopotential models and local gravity data. A case study. JGR, 97(B7), 11137-11147. Marple, S.L.Jr. (1987). Digital spectral analysis with applications. Prentice-Hall Signal Processing Series, USA. Olgiati, A., Balmino, G. and Sarrailh, M. (1995). Gravity anomalies from satellite altimetry: comparison between computation via geoid heights and via deflections of the vertical. Bull. Géod., 69(4), 252-260. Sansò, F. and Sideris, M.G. (1995). On the similarities and differences between system theory and least-squares collocation in physical geodesy. Presented at the XXI IUGG General Assembly, Boulder, Colorado, July 2-4, 1995. Sideris, M.G. (1996). On the use of heterogeneous noisy data in spectral gravity field modeling methods. Journal of Geodesy, 70(8), 470-479. Tscherning, C.C. (1974). A FORTRAN IV program for the determination of the anomalous potential using stepwise least-squares collocation. Report No 212, Department of Geodetic Science and Surveying, The Ohio State University, Columbus, Ohio. Tziavos, I.N., Li, J. and Sideris, M.G. (1996). Optimal spectral combination of satellite altimetry and marine gravity data. Presented at the XXI EGS General Assembly, The Hague, Netherlands, 6-10 May, 1996, in Proceedings (Tziavos and Vermeer eds), "Techniques for local geoid determination", pp. 41-56, Masala, 1996. Zhang, C. and Sideris, M.G. (1994). Gravity disturbances from GEOSAT data and forward geopotential models in the Labrador Sea. International Association of Geodesy Symposia 113, convened and edited by H. Sünkel and I. Marson, pp. 376-385. Zhang, C. and Sideris, M.G. (1996). On the analytical inversion of the Hotine formula for estimating gravity disturbances in the oceans. Marine Geodesy, vol. 19(2), 115-136.
Last Update
19-09-2013