Signal concentration on unit sphere: An azimuthally moment weighting approach

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2010, Pages 3698-3701

  Wei, Liying ^a   Kennedy, Rodney A ^a   Lamahewa, Tharaka A ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Azimuthally moment measure; Cosmic microwave background (CMB); Out of band energy (FOBE); Spherical filter; Spherical wavelet

Indexed keywords

COSMOLOGY; SIGNAL PROCESSING; SPHERES;

AZIMUTHALLY MOMENT MEASURE; BAND ENERGY; COSMIC MICROWAVE BACKGROUND; COSMIC MICROWAVES BACKGROUND; OUT OF BAND; OUT-OF-BAND ENERGY (FOBE); SPATIAL REGIONS; SPHERICAL FILTER; SPHERICAL WAVELETS; UNIT SPHERES;

BANDPASS FILTERS;

EID: 78049404462     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2010.5495878     Document Type: Conference Paper

References (11)

1. G. Fay, F. Guilloux, M. Betoule, J. F. Cardoso, J. Delabrouille, and M. L. Jeune, "CMB power spectrum estimation using wavelets," Phys. Rev. D, vol. 78, no. 8, pp. 20, 2008.
2. T. Bulow and K. Daniilidis, "Surface representations using spherical harmonics and gabor wavelets on the sphere," Tech. rep. ms-cis-01-37, University of Pennsylvania, 2001.
3. F. J. Simons, F. A. Dahlen, and M. A. Wieczorek, "Spatiospectral concentration on a sphere," SIAM Review, vol. 48, pp. 504-536, 2006.
4. I. Daubechies, "Spectral estimation on a sphere in geophysics and cosmology," Geophysical Journal International, vol. 174, pp. 774-807, Aug. 2008.
5. D. Slepian and H. O. Pollak, "Prolate spheroidal wave functions, Fourier analysis and uncertainty - I," Bell System Tech. J, vol. 40, pp. 43-63, Jan. 1961.
6. H. J. Landau and H. O. Pollack, "Prolate spheroidal wave functions, Fourier analysis and uncertainty II," Bell System Tech. J., vol. 40, no. 1, pp. 65-84, Jan. 1961.
7. F. Guilloux, G. Fay, and J. F. Cardoso, "Practical wavelet design on the sphere," Appl. Comp. Harm. Anal., vol. 26, pp. 143-160, Mar. 2009.
8. B. T. T. Yeo, W. Ou, and P. Golland, "On the construction of invertible filter banks on the 2-sphere," IEEE Trans. Image Process., vol. 17, no. 3, pp. 283-300, Mar. 2008.
9. D. Gabor, "Theory of communication," J. Inst. Elec. Eng., vol. 93, Part III, no. 26, pp. 429-457, Nov. 1946.
10. E. A. Fain and M. K. Varanasi, "Minimum bandwidth basis functions for the fourth-moment bandwidth measure," in Proc. IEEE Int. Symp. Inf. Theory, Sorrento, Italy, June 2000, p. 416.
11. L. Wei, R. A. Kennedy, and T. A. Lamahewa, "Bandlimited signal concentration in time-frequency," in Proc. Int. Conf. on Signal Processing and Communication Systems, ICSPCS'2009, Omaha, Nebraska, USA, 28-30 Sep. 2009, p. 6.