Publications prior to 2011

Sofia Charlotta Olhede - Publications

2002

[1] Olhede, S.C. and Walden, A.T. Generalized Morse wavelets. IEEE Trans. Signal Processing, 50, 2661-2670.

 

 

2003

[2] Olhede, S.C. and Walden, A.T. Polarization phase relationships via multiple Morse wavelets - Part I: Fundamentals. Proc. R. Soc. Lond. A., 459, 413-44.

 

[3] Olhede, S.C. and Walden, A.T. Polarization phase relationships via multiple Morse wavelets - Part II: Data analysis. Proc. R. Soc. Lond. A., 459, 641-57.

 

[4] Olhede, S.C. and Walden, A.T. Noise reduction in directional signals illustrated on quadrature Doppler ultrasound. IEEE Trans. on Biomedical Engineering, 50, 51-57.

 

 

2004

[5] Olhede, S. C. and Walden, A.T. The Hilbert Spectrum via Wavelet Projections. Proc. R. Soc. Lond. A., 460, 955-75.

 

[6] Olhede, S. C., McCoy E. J. and Stephens D. A. Large Sample Properties of the Periodogram Estimator of Seasonally Persistent Processes, Biometrika, 91, 613-628.

 

[7] Olhede, S. C. Discussion on the meeting on ‘Statistical Inverse Problems’. J. Roy. Stat. Soc. B, 66(3), 643.

 

[8] Olhede, S. C. and Walden, A.T. `Analytic’ wavelet thresholding, Biometrika, 91, 955-973.

 

2005

[9] Olhede, S. C. and Walden, A.T. Wavelet denoising for signals in quadrature. Integrated Computer-Aided Engineering., 12(1), 109-17.

 

[10] Olhede, S. C. and Walden, A.T. A generalized demodulation approach to time-frequency projections for multicomponent signals. Proc. R. Soc. Lond. A, 461, 2159-79.

 

[11] Olhede, S. C. and Walden, A.T. Local Directional Denoising. IEEE Trans. Signal Processing, 53, 4725-30.

 

[12] Metikas, G. and Olhede, S. C. Multiple wavelet analysis of amplitude/frequency modulated images. 5th IEEE International Symposium on Signal Processing and Information Technology, 18 - 21 December 2005, Greece, Athens, IEEE, 2005, Pages: 284 - 288, ISBN: 0-7803-9314-7 ( publication )

 

2006

[13] Olhede, S. C. and Metikas, G. Multiple Wavelet Coherence Analysis of Images. In: Dougherty ER, Astola JT, Egiazarian KO, editor, Proceedings of SPIE. Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning, SPIE, 2006, Pages: 31 - 42, ISBN: 0-8194-6104-0 (publication )

 

[14] Olhede, S. C. On Probability Density Functions for Complex Variables. IEEE Transactions on Information Theory, 52, 1212-17.

 

[15] Olhede, S. C. Hyperanalytic Thresholding, IEEE International Conference on Image Processing, 8-11 October 2006, Atlanta, GA, USA, 4 page conference proceeding contribution.

 

2007

[16] Metikas, G. and Olhede, S. C. Multiple Multidimensional Morse Wavelets. IEEE Transactions on Signal Processing, 55, 921—936. Earlier version available at: http://arxiv.org/abs/math.ST/0511324  .

 

[17] Olhede, S. C. Hyperanalytic Denoising. IEEE Transactions on Image Processing, 16, 1522—1537.

Earlier version available at:  http://arxiv.org/abs/math.ST/0606243  .

 

[18] Olhede S. C. and Lilly J. Multiscale Inference of Lagrangian Turbulence, Proceedings of the ISI.

 

[19] McCoy E. J., Olhede S. and Stephens D. A. Non-Regular Likelihood Inference for Seasonally Persistent Procecsses

Statistics section technical report TR-07-05. Version available at: http://arxiv.org/abs/0709.0139  .

 

2008

[20] Olhede, S. C. Localisation of Geometric Anisotropy. IEEE Transactions on Signal Processing, 56, 2133—2138. Statistics section technical report TR-07-01. Version available at: http://arxiv.org/abs/math.ST/0702284

 

[21] Olhede, S. and Whitcher B., A statistical framework to characterise microstructure in high angular resolution diffusion imaging, Biomedical Imaging: From Nano to Macro, 2008. ISBI 2008. 5th IEEE International Symposium on

14-17 May 2008 Page(s): 899 – 902.

 

[22] Hindberg, H.; Hanssen, A.; Olhede, S.C., Thresholding the ambiguity function Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on

March 31 2008-April 4 2008 Page(s):3773 – 3776

 

2009

[23] Lilly J. and Olhede S. C. Higher Order Properties of Analytic Wavelet (or On the Design of Optimal Analytic Wavelets), Department of Statistical Science Reseach Report 289. Older version available at http://arxiv.org/abs/0802.2377  . Appeared in IEEE Transactions on Signal Processing , 57, Page(s):146 – 160.

 

[24] Olhede S and Metikas G. The Monogenic Wavelet Transform, Appeared in IEEE Transactions on Signal Processing, 57, Pages: 3426-3441 . Based on material from the technical report Olhede, S. C. and Metikas, G. The Hyperanalytic Wavelet Transform. Statistics section technical report TR-06-02, available at: http://arxiv.org/abs/math.ST/0605623  .

 

[25] Olhede S. C., Sykulski A. and Pavliotis G. Frequency Domain Estimation of Integrated Volatility for Itô Processes in the Presence of Market-Microstructure Noise, Department of Statistical Science Reseach Report 290. Version available at http://arxiv.org/abs/0803.0392  Multiscale Modeling and Simulation, 8, 393 – 427. Final version.

 

[26] J. M. Lilly 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.

 

2010

[27] Lilly J. and Olhede S. C. Bivariate Instantaneous Frequency and Bandwidth, IEEE Transactions on Signal Processing, 58, 591—603. http://arxiv.org/abs/0902.4111 .

 

[28] Hindberg H. and Olhede S. C. Estimation of Ambiguity Functions with Limited Spread. Research Report 293. Reduced graphics version available http://arxiv.org/abs/0804.1038  . IEEE Transactions on Signal Processing, 58, 2383—2388.

 

[29] Yip, W., Stephens D. A. and Olhede, S. C. The explicit chaotic representation of the powers of increments of Levy Processes. Statistics section technical report TR-07-04, available at: http://arxiv.org/abs/0706.1698  , published in Stochastics, 82, 257–290.

 

[30] J. Lilly and S. C. Olhede. 2010. On the Analytic Wavelet Transform, IEEE Transactions on Information Theory, 56, 4135–4156, Statistics section technical report TR-07-02. Version available at: http://arxiv.org/abs/0711.3834

 

[31] Yip, W, Stephens D. A. and Olhede, S. C. Hedging strategies and minimal variance portfolios for European and exotic options in a Levy market. Available at http://arxiv.org/abs/0801.4941 , Mathematical Finance, 20, 617—646.

 

2011

[32] Olhede, S. and Whitcher B. Non-Parametric Tests of Structure for High Angular Resolution Diffusion Imaging in Q-Space. Annals of Applied Statistics, 5, 1293-1327.

 

[33] Fabrizi, L., Slater, R., Worley, A., Meek, J., Boyd, S., Olhede, S., Fitzgerald, M (shared last author). A shift in sensory processing which enables the developing human brain to discriminate touch from pain, 21, 1552-1558, Current Biology, 2011.

 

[34] Lilly, J. M., R. K. Scott, and S. C. Olhede (2011). Extracting waves and vortices from Lagrangian trajectories. Geophysical Research Letters, 38, L23605.