Detecting harmonic signals in a noisy time series: The z-domain AutoRegressive (AR-z)spectrum

[1]  Severine Rosat,et al.  Geographical variations of the 0S0 normal mode amplitude: predictions and observations after the Sumatra-Andaman earthquake , 2007 .

[2]  J. Stoer,et al.  Introduction to Numerical Analysis , 2002 .

[3]  G. Schubert,et al.  Treatise on geophysics , 2007 .

[4]  W. Shen,et al.  Search for the Slichter modes based on a new method: Optimal sequence estimation , 2013 .

[5]  G. Laske,et al.  Theory and Observations – Normal Modes and Surface Wave Measurements , 2007 .

[6]  R. Buland,et al.  Observations from the IDA network of attenuation and splitting during a recent earthquake , 1979, Nature.

[7]  T. Ulrich,et al.  Maximum entropy spectral analy-sis and autoregressive decomposition , 1975 .

[8]  Adam M. Dziewonski,et al.  Seismology and the structure of the earth , 2007 .

[9]  T. Fukushima,et al.  Application of a non-linear damped harmonic analysis method to the normal modes of the Earth , 2008 .

[10]  Mineo Kumazawa,et al.  A new method of spectral analysis and its application to the Earth's free oscillations: The “Sompi” method , 1989 .

[11]  B. Chao,et al.  Spherical harmonic stacking for the singlets of Earth's normal modes of free oscillation , 2014 .

[12]  A. Deuss,et al.  Splitting function measurements for Earth's longest period normal modes using recent large earthquakes , 2011 .

[13]  R. Herrmann,et al.  Amplitude and Q of 0S0 from the Sumatra Earthquake as Recorded on Superconducting Gravimeters and Seismometers , 2008 .

[14]  David J. Thomson,et al.  Multiple‐taper spectral analysis of terrestrial free oscillations: part I , 1987 .

[15]  J. W. Brown,et al.  Complex Variables and Applications , 1985 .

[16]  R. Lacoss.  DATA ADAPTIVE SPECTRAL ANALYSIS METHODS , 1971 .

[17]  J. Hinderer,et al.  Gravimetric Methods – Superconducting Gravity Meters , 2007 .

[18]  D. Thomson,et al.  Spectrum estimation and harmonic analysis , 1982, Proceedings of the IEEE.

[19]  Robert Tibshirani,et al.  Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy , 1986 .

[20]  S. Rosat,et al.  New determinations of Q quality factors and eigenfrequencies for the whole set of singlets of the Earth's normal modes 0S0, 0S2, 0S3 and 2S1 using superconducting gravimeter data from the GGP network , 2006 .

[21]  Jacques Hinderer,et al.  First observation of 2S1 and study of the splitting of the football mode 0S2 after the June 2001 Peru earthquake of magnitude 8.4 , 2003 .

[22]  Freeman Gilbert,et al.  Autoregressive estimation of complex eigenfrequencies in low frequency seismic spectra , 1980 .

[23]  J. H. Wilkinson.  The algebraic eigenvalue problem , 1966 .

[24]  Richard W. Hamming,et al.  Numerical Methods for Scientists and Engineers , 1963 .

[25]  Adriaan van den Bos,et al.  Alternative interpretation of maximum entropy spectral analysis (Corresp.) , 1971, IEEE Trans. Inf. Theory.

[26]  R. Sailor,et al.  Measurements and interpretation of normal mode attenuation , 1978 .

[27]  F. Gilbert,et al.  Improved resolution of complex eigenfrequencies in analytically continued seismic spectra , 1978 .

[28]  S.M. Kay,et al.  Spectrum analysis—A modern perspective , 1981, Proceedings of the IEEE.

[29]  S. Rosat.  Optimal Seismic Source Mechanisms to Excite the Slichter Mode , 2007 .

[30]  D. E. Smylie,et al.  The product spectra of gravity and barometric pressure in Europe , 1993 .

[31]  J. Makhoul,et al.  Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[32]  Bradley P. Carlin,et al.  Bayesian Methods for Data Analysis , 2008 .

[33]  S. Rosat,et al.  High‐resolution analysis of the gravest seismic normal modes after the 2004 Mw = 9 Sumatra earthquake using superconducting gravimeter data , 2005 .

[34]  S. Rosat,et al.  Correction to “High‐resolution analysis of the gravest seismic normal modes after the 2004 Mw = 9 Sumatra earthquake using superconducting gravimeter data” , 2012 .

[35]  H. Hsu,et al.  Wavelet filter analysis of atmospheric pressure effects in the long-period seismic mode band , 2006 .

[36]  J. P. Burg,et al.  Maximum entropy spectral analysis. , 1967 .

[37]  R. Widmer-Schnidrig,et al.  Signature of 3-D density structure in spectra of the spheroidal free oscillation 0S2 , 2013 .

[38]  G. Masters,et al.  Attenuation in the earth at low frequencies , 1983, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[39]  Jeffrey Park.  Radial mode observations from the 5/23/89 MacQuarie Ridge Earthquake , 1990 .

[40]  W. Shen,et al.  Determination of the complex frequencies for the normal modes below 1mHz after the 2010 Maule and 2011 Tohoku earthquakes , 2013 .

[41]  E. Clévédé,et al.  Observation of split modes from the 26th December 2004 Sumatra-Andaman mega-event , 2010 .

[42]  Comment on “A new method of spectral analysis and its application to the Earth's free oscillations: The ‘Sompi’ Method” by S. Hori et al. , 1990 .

[43]  F. Gilbert,et al.  Stacking for the frequencies and Qs of 0S0 and 1S0 , 1980 .

[44]  A. El-Rabbany,et al.  Normal mode detection and splitting after Sumatra-Andaman earthquake , 2010 .

[45]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .