Albertella A, Migliaccio F, Reguzzoni M, Sansò F (2004) Wiener filters and collocation in satellite gradiometry. In: Sansò F (ed) International association of geodesy symposia, “V Hotine–Marussi symposium on mathematical geodesy”, 17–21 June 2002, Matera, Italy, vol 127. Springer, Berlin, pp 32–38

Alkhatib H, Schuh WD (2007) Integration of the Monte Carlo covariance estimation strategy into tailored solution procedures for large-scale least squares problems. J Geod 81: 53–66. doi:

10.1007/s00190-006-0034-z
CrossRefGoogle ScholarAndritsanos VD, Sideris MG, Tziavos IN (2001) Quasi-stationary sea surface topography estimation by the multiple input/output method. J Geod 75: 216–226. doi:

10.1007/s001900100169
CrossRefGoogle ScholarArabelos D, Tscherning CC (2007) On a strategy for the use of GOCE gradiometer data for the development of a geopotential model by LSC. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy (ESA SP-627, January 2007), pp 69–75. ISBN 92-9092-938-3, ISSN 1609-042X

Basilevsky A (1983) Applied matrix algebra in the statistical sciences. Dover Publications, New York

Google ScholarBlackman RB, Tukey JW (1958) The measurement of power spectra from the point of view of communications engineering. Dover Publications, New York

Google ScholarBouman J, Rispens S, Koop R (2007) GOCE gravity gradients for use in Earth sciences. In: Proceedings of the 3rd international GOCE user workshop, 6-8 November 2006, Frascati, Italy, (ESA SP-627, January 2007), pp 135–139. ISBN 92-9092-938-3, ISSN 1609-042X

Bronshtein IN, Semendyayev KA, Musiol G, Muehlig H (2004) Handbook of mathematics. Springer, Berlin

Google ScholarBruinsma S, Marty JC, Balmino G (2004) Numerical simulation of the gravity field recovery from GOCE mission data. In: Proceedings of the 2nd international GOCE user workshop, 8–10 March 2004, Frascati, Italy, (ESA SP-569, June 2004). ISBN 92-9092-880-8, ISSN 1609-042X

Catastini G, Cesare S, De Sanctis S, Dumontel M, Parisch, Sechi G (2007) Predictions of the GOCE in-flight performances with the end-to-end system simulator. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy, (ESA SP-627, January 2007), pp 9–16. ISBN 92-9092-938-3, ISSN 1609-042X

Colombo OL (1981) Numerical methods for harmonic analysis on the sphere. Report No. 310, Department of Geodetic Science and Surveying, Ohio State University, Columbus

Drinkwater RM, Haagmans R, Muzi D, Popescu A, Floberghagen R, Kern M, Fehringer M (2007) The GOCE gravity mission: ESA’s first core Earth explorer. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy, (ESA SP-627, January 2007), pp 1–7. ISBN 92-9092-938-3, ISSN 1609-042X

ESA (1999) Gravity field and steady-state ocean circulation mission. ESA SP-1233 (1). ESA Publication Division, c/o ESTEC, Noordwijk

Förste Ch, Flechtner F, Schmidt R, König R, Meyer U, Stubenvoll R, Rothacher M, Barthelmes F, Neumayer H, Biancale R, Bruinsma S, Lemoine JM, Loyer S (2007) Global mean gravity field models from combination of satellite mission and altimetry/gravimetry surface data. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy, (ESA SP-627, January 2007), pp 163–167. ISBN 92-9092-938-3, ISSN 1609-042X

Gruber T, Rummel R, Koop R (2007) How to use GOCE level 2 products. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy (ESA SP-627, January 2007), pp 205–211. ISBN 92-9092-938-3, ISSN 1609-042X

Jekeli C (1998) Error analysis of padding schemes for DFT’s of convolutions and derivatives. Report No. 446, Department of Civil and Environmental Engineering and Geodetic Science, The Ohio State University, Columbus

Jekeli C (1999) The determination of gravitational potential differences from satellite-to-satellite tracking. Celestial Mech Dyn Astron 75: 85–101

CrossRefGoogle ScholarKlees R, Ditmar P, Broersen P (2003) How to handle colored observation noise in large least-squares problems. J Geod 76: 629–640. doi:

10.1007/s00190-002-0291-4
CrossRefGoogle ScholarLemoine FG, Kenyon SC, Factor JK, Trimmer RG, Pavlis NK, Chinn DS, Cox CM, Klosko SM, Luthcke SB, Torrence MH, Wang YM, Williamson RG, Pavlis EC, Rapp RH, Olson TR (1998) The development of the joint NASA GSFC and NIMA geopotential model EGM96, NASA Tech Rep, 1998-206861, Greenbelt

Migliaccio F, Reguzzoni M, Sansò F (2004a) Space-wise approach to satellite gravity field determination in the presence of coloured noise. J Geod 78: 304–313. doi:

10.1007/s00190-004-0396-z
CrossRefGoogle ScholarMigliaccio F, Reguzzoni M, Sansò F, Tscherning CC (2004b) The performance of the space-wise approach to GOCE data analysis, when statistical homogenization is applied. Newton’s Bull 2: 60–65

Google ScholarMigliaccio F, Reguzzoni M, Tselfes N (2006) GOCE: a full-gradient simulated solution in the space-wise approach. In: Tregoning P, Rizos C (eds) International association of geodesy symposia, “dynamic planet—monitoring and understanding a dynamic planet with geodetic and oceanographic tools”, IAG2005 - Scientific Assembly, 22–26 August 2005, Cairns, Australia, vol 130. Springer, Berlin, pp 383–390

Migliaccio F, Reguzzoni M, Sansò F, Tselfes N, Tscherning CC, Veicherts M (2007a) The latest of the space-wise approach for GOCE data analysis. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy (ESA SP-627, January 2007), pp 241–248. ISBN 92-9092-938-3, ISSN 1609-042X

Migliaccio F, Reguzzoni M, Sansò F, Tselfes N (2007b) On the use of gridded data to estimate potential coefficients. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy (ESA SP-627, January 2007), pp 311-318. ISBN 92-9092-938-3, ISSN 1609-042X

Migliaccio F, Reguzzoni M, Sansò F, Tselfes N (2007c) An error model for the GOCE space-wise solution by Monte Carlo methods. In: Proceedings of the XXIV IUGG general assembly, 2–13 July 2007, Perugia, Italy (in press)

Pail R, Schuh WD, Wermuth M (2005) GOCE gravity field processing. In: Jekeli C, Bastos L, Fernandes J(eds) International association of geodesy symposia, “gravity, geoid and space missions”, vol 129. Springer, Berlin, pp 36–41

Google ScholarPapoulis A (1984) Signal analysis. McGraw Hill, New York

Google ScholarReguzzoni M (2003) From the time-wise to space-wise GOCE observables. Adv Geosci 1: 137–142

CrossRefGoogle ScholarReguzzoni M, Tselfes N, Venuti G (2006) Stepwise solutions to random field prediction problems. In: Proceedings of the 6th Hotine–Marussi symposium on mathematical geodesy, Wuhan, China, 29 May – 2 June, 2006 (in press)

Rummel R, Gruber T, Koop R (2004) High level processing facility for GOCE: products and processing strategy. In: Proceedings of the 2nd international GOCE user workshop, 8–10 March 2004, Frascati, Italy, (ESA SP-569, June 2004). ISBN 92-9092-880-8, ISSN 1609-042X

Sansò F, Sideris MG (1997) On the similarities and differences between system theory and least-squares collocation in physical geodesy. Boll Geod Sci Affin, Anno LVI 2: 173–206

Google ScholarSchuh WD (1996) Tailored numerical solution strategies for the global determination of the Earth’s gravity field, Folge 81, Mitteilungen der geodätischen Institut der Technischen Universität Graz

Sideris MG (1996) On the use of heterogeneous noisy data in spectral gravity field modeling methods. J Geod 70: 470–479. doi:

10.1007/BF00863619
Google ScholarSneeuw N, van Gelderen M (1997) The polar gap. In: Sansò F, Rummel R(eds) Geodetic boundary value problems in view of the one centimeter geoid. Lecture Notes in Earth Sciences, vol 65. Springer, Heidelberg, pp 559–568

CrossRefGoogle ScholarTscherning CC (1976a) Computation of the second–order derivatives of the normal potential based on the representation by a Legendre series. Manuscripta Geodaetica 1: 71–92

Google ScholarTscherning CC (1976b) On the chain-rule method for computing potential derivatives. Manuscripta Geodaetica 1: 125–141

Google ScholarTscherning CC (1993) Computation of covariances of derivatives of the anomalous gravity potential in a rotated reference frame. Manuscripta Geodaetica 18(3): 115–123

Google ScholarTscherning CC (2001) Computation of spherical harmonic coefficients and their error estimates using least squares collocation. J Geod 75: 12–18. doi:

10.1007/s001900000150
CrossRefGoogle ScholarTscherning CC, Rapp RH (1974) Closed covariance expressions for gravity anomalies, geoid undulations, and deflections of the vertical implied by anomaly degree–variance models. Report No. 208, Department of Geodetic Science, Ohio State University, Columbus

Visser PNAM, Sneeuw N, Gerlach C (2003) Energy integral method for gravity field determination from satellite orbit coordinates. J Geod 77: 207–216. doi:

10.1007/s00190-003-0315-8
CrossRefGoogle ScholarVisser PNAM, van den IJssel J, van Helleputte T, Bock H, Jaeggi A, Beutler G, Hugentobler U, Svehla D (2007) Rapid and precise science orbit determination for the GOCE satellite. In: Proceedings of the 3rd international GOCE user workshop, 6–8 November 2006, Frascati, Italy (ESA SP-627, January 2007), pp 235–239. ISBN 92-9092-938-3, ISSN 1609-042X