j.m. lilly


  1. Sykulski, A. M., S. C. Olhede, A. P. Guillaumin, J. M. Lilly, and J. J. Early (2019). The de-biased Whittle likelihood. Biometrika, 106 (2): 251–266. {doi 10.1093/biomet/asy071} [0.4 Mb pdf]
  2. Lilly, J. M. (2018). Kinematics of a fluid ellipse in a linear flow. Fluids, 3 (1): 1–29. {doi 10.3390/fluids3010016} [0.5 Mb pdf]
  3. Lilly, J. M., A. M. Sykulski, J. J. Early, and S. C. Olhede (2017). Fractional Brownian motion, the Matérn process, and stochastic modeling of turbulent dispersion. Nonlinear Processes in Geophysics, 24: 481–514. {doi 10.5194/npg-24-481-2017} [3.2 Mb pdf] {turbulencemovie.mp4} {dispersionmovie.mp4}
  4. Guillaumin, A. P., A. M. Sykulski, S. C. Olhede, J. J. Early, and J. M. Lilly (2017). Analysis of nonstationary modulated time series with applications to oceanographic surface flow measurements. Journal of Time Series Analysis, 38 (5): 668–710. {doi 10.1111/jtsa.12244} [2.2 Mb pdf]
  5. Lilly, J. M. (2017). Element analysis: a wavelet-based method for analyzing time-localized events in noisy time series. Proceedings of the Royal Society of London, Series A, 473 (2200): 20160776, 1–28. {doi 10.1098/rspa.2016.0776} [10.7 Mb pdf]
  6. Sykulski, A. M., S. C. Olhede, J. M. Lilly, and J. J. Early (2017). Frequency-domain stochastic modeling of stationary bivariate or complex-valued signals. IEEE Transactions on Signal Processing, 65 (12): 3136–3151. {doi 10.1109/TSP.2017.2686334} [8.1 Mb pdf]
  7. Sykulski, A. M., S. C. Olhede, and J. M. Lilly (2016). A widely linear complex autoregressive process of order one. IEEE Transactions on Signal Processing, 64 (23): 6200–6210. {doi 10.1109/TSP.2016.2599503} [1.1 Mb pdf]
  8. Elipot, S., R. Lumpkin, R. C. Perez, J. M. Lilly, J. J. Early, and A. M. Sykulski (2016). A global surface drifter data set at hourly resolution. Journal of Geophysical Research: Oceans, 121 (5): 2937–2966. {doi 10.1002/ 2016JC011716} [29 Mb pdf] {Download Data}
  9. Sykulski, A. M., S. C. Olhede, J. M. Lilly, and E. Danioux (2016). Lagrangian time series models for ocean surface drifter trajectories. Journal of the Royal Statistical Society: Series C, 65 (1): 29–50. {doi 10.1111/rssc.12112} [6.3 Mb pdf]
  10. Bartlett, T. E., A. M. Sykulski, S. C. Olhede, J. M. Lilly, and J. J. Early (2015). A power variance test for nonstationarity in complex-valued signals. IEEE 14th International Conference on Machine Learning and Applications (ICMLA), 911–916. Refereed conference proceedings paper. {doi 10.1109/ICMLA.2015.122} [0.8 Mb pdf]
  11. Stewart, K. D., P. Spence, S. Waterman, J. Le Sommer, J.-M. Molines, J. M. Lilly, and M. H. England (2015). Anisotropy of eddy variability in the global ocean. Ocean Modelling, 95 (4): 53–65. {doi 10.1016/j.ocemod.2015.09.005} [48 Mb pdf]
  12. Wain, D. J., J. M. Lilly, A. H. Callaghan, I. Yashayaev, and B. Ward (2015). A breaking internal wave in the surface ocean boundary layer. Journal of Geophysical Research, 120 (6): 4151–4161. {doi 10.1002/2014JC010416} [2.4 Mb pdf]
  13. Waterman, S. N., and J. M. Lilly (2015). Geometric decomposition of eddy feedbacks in barotropic systems. Journal of Physical Oceanography, 45 (4): 1009–1024. {doi 110.1175/JPO-D-14-0177.1} [1.4 Mb pdf]
  14. Hattermann, T., L. H. Smedsrud, O. A. Nøst, J. M. Lilly, and B. K. Galton-Fenzi (2014). Eddy-resolving simulations of the Fimbul ice shelf cavity circulation: basal melting and exchange with open ocean. Ocean Modelling, 82: 28–44. {doi 10.1016/j.ocemod.2014.07.004} [8.3 Mb pdf]
  15. Bower, A. S., R. M. Hendry, D. E. Amrhein, and J. M. Lilly (2013). Direct observations of formation and propagation of subpolar eddies into the subtropical North Atlantic. Deep-Sea Research, 39: 15–41. {doi 10.1016/j.dsr2.2012.07.029} [12 Mb pdf]
  16. Lilly, J. M., and S. C. Olhede (2012). Generalized Morse wavelets as a superfamily of analytic wavelets. IEEE Transactions on Signal Processing, 60 (11): 6036–6041. {doi 10.1109/TSP.2012.2210890} [1.2 Mb pdf]
  17. Hattermann, T., O. A. Nøst, J. M. Lilly, and L. H. Smedsrud (2012). Two years of oceanic observations below the Fimbul Ice Shelf, Antarctica. Geophysical Research Letters, 39 L12605: 1–6. {doi 10.1029/2012GL051012} [3.1 Mb pdf]
  18. Lilly, J. M., and S. C. Olhede (2012). Analysis of modulated multivariate oscillations. IEEE Transactions on Signal Processing, 60 (2): 600–612. {doi 10.1109/TSP.2011.2173681} [1.1 Mb pdf]
  19. Lilly, J. M., R. K. Scott, and S. C. Olhede (2011). Extracting waves and vortices from Lagrangian trajectories. Geophysical Research Letters, 38 L23605: 1–5. {doi 10.1029/2011GL049727} [2.6 Mb pdf] {vortexmovie.mp4}
  20. Lilly, J. M. (2011). Modulated oscillations in three dimensions. IEEE Transactions on Signal Processing, 59 (12): 5930–5943. {doi 10.1109/TSP.2011.2164914} [1.1 Mb pdf]
  21. Lilly, J. M., and S. C. Olhede (2010). On the analytic wavelet transform. IEEE Transactions on Information Theory, 56 (8): 4135–4156. {doi 10.1109/TIT.2010.2050935} [1.3 Mb pdf]
  22. Lilly, J. M., and S. C. Olhede (2010). Bivariate instantaneous frequency and bandwidth. IEEE Transactions on Signal Processing, 58 (2): 591–603. {doi 10.1109/TSP.2009.2031729} [0.7 Mb pdf]
  23. Lilly, J. M., and S. C. Olhede (2009). Wavelet ridge estimation of jointly modulated multivariate oscillations. 43rd Asilomar Conference on Signals, Systems, and Computers, 452–456. Refereed conference proceedings paper. {doi 10.1109/ACSSC.2009.5469858} [0.7 Mb pdf]
  24. Rykova, T., F. Straneo, J. M. Lilly, and I. Yashayaev (2009). Irminger Current anticyclones in the Labrador Sea observed in the hydrographic record, 1990–2004. Journal of Marine Research, 67 (3): 361–384. {doi 10.1109/10.1357/002224009789954739} [16 Mb pdf]
  25. Lilly, J. M., and S. C. Olhede, (2009). Higher-order properties of analytic wavelets. IEEE Transactions on Signal Processing, 57 (1): 146–160. {doi 10.1109/TSP.2008.2007607} [1.8 Mb pdf]
  26. Lagerloef, G., F. R. Colomb, D. Le Vine, F. Wentz, S. Yueh, C. Ruf, J. Lilly, J. Gunn, Y. Chao, A. deCharon, G. Feldman, and C. Swift, (2008). The Aquarius/SAC-D mission: Designed to meet the salinity remote-sensing challenge Oceanography, 21 (1): 69–81. {doi 10.5670/oceanog.2008.68} [4.2 Mb pdf]
  27. Rilling, G., P. Flandrin, P. Gonçalves, and J. M. Lilly (2007). Bivariate empirical mode decomposition. IEEE Signal Processing Letters, 14 (12): 936–939. {doi 10.1109/LSP.2007.904710} [0.3 Mb pdf]
  28. Lilly, J. M., and J.-C. Gascard (2006). Wavelet ridge diagnosis of time-varying elliptical signals with application to an oceanic eddy. Nonlinear Processes in Geophysics, 13: 467–483. {doi 10.5194/npg-13-467-2006} [0.6 Mb pdf]
  29. Bunge, L., C. Provost, J. M. Lilly, M. D'Orgeville, A. Kartavtseff, and J.-L. Mélice (2006). Variability of the horizontal velocity structure in the Upper 1600 m of the water column on the Equator at 10°W. Journal of Physical Oceanography, 36: 1287–1304. {doi 10.1175/JPO2908.1} [2.4 Mb pdf]
  30. Lilly, J. M., and E. E. Lettvin (2004). The "switch-on" problem for linear time-invariant operators. Signal Processing, 84: 763–784. {doi 10.1016/j.sigpro.2003.12.011} [0.5 Mb pdf]
  31. Lilly, J. M., P. B. Rhines, F. Schott, K. Lavender, J. Lazier, U. Send, and E. D'Asaro (2003). Observations of the Labrador Sea eddy field. Progress in Oceanography, 59: 75–176. {doi 10.1016/ j.pocean.2003.08.013} [4.8 Mb pdf]
  32. Lilly, J. M., and P. B. Rhines (2002). Coherent eddies in the Labrador Sea observed from a mooring. Journal of Physical Oceanography, 32: 585–598. {doi 10.1175/1520-0485(2002)032 <0585:CEITLS> 2.0.CO;2} [1.2 Mb pdf]
  33. Lilly, J. M., P. B. Rhines, M. Visbeck, R. E. Davis, J. R. N. Lazier, F. Schott and D. Farmer (1999). Observing deep convection in the Labrador Sea during winter 1994–95. Journal of Physical Oceanography, 29: 2065–2098. {doi 10.1175/1520-0485(1999)029 <2065:ODCITL>2.0.CO;2} [2.1 Mb pdf]
  34. Lilly, J. M., and J. Park (1995). Multiwavelet spectral and polarization analysis. Geophysical Journal International, 122: 1001–1021. {doi 10.1111/j.1365-246X.1995.tb06852.x} [7.6 Mb pdf]
  35. Bolton, E. W., K. A. Maasch and J. M. Lilly (1995). A wavelet analysis of Plio-Pleistocene climate indicators: A new view of periodicity evolution. Geophysical Research Letters, 22: 2753–2756. {doi 10.1029/95GL02799} [1.4 Mb pdf]