# ARC Grant DP150101011

## Project Summary and Impact Statement

Project Summary: Spherical information underpins many natural phenomena, ranging from the distribution of galaxies in the Universe to the connectivity and neuronal activation in the human brain. Current major investments in scientific and medical instrumentation do not efficiently collect and process the massive amounts of data because they do not properly utilize its inherent spherical geometry. Through harnessing spherical geometry, this project will address the above shortcomings and will provide advances across all these application domains. By collecting and processing data more efficiently, with greater fidelity, and by revealing features currently hidden, the methods developed will see the full benefit from the instrumentation capturing this data.

Impact Statement: Through proper collection and processing of data with spherical geometry, we can reliably learn: how the Universe is evolving; or gauge the impact of melting polar ice sheets on sea-level rise; or assess whether a person is susceptible to Alzheimer’s disease. These pressing problems link with our needs to understand where we come from; or how we can protect the environment; or how to improve the quality of life.

## Australian Research Council (ARC) Budget

Year Amount ICA Kennedy ICA McEwen
2015 $150,000$4,820 $4,820 2016$134,300 $3,630$6,010
2017 $140,000$3,630 $6,010 Total$424,300 $12,080$16,840

#### Clarifications:

• ICA — International Collaboration Award for direct support of international researcher collaboration
• The “Amount” (2nd column) includes “ICA Kennedy” and “ICA McEwen”.
• The balance (the majority) is split across salary (post-doc and PhD Scholarship) and travel.
• The annual amounts are usually indexed.
• Accouncement snippet from ARC DP15 Outcomes is here.

## Research Team

Salman Durrani CI ANU Homepage, Google-Scholar
Jason McEwen PI UCL-MSSL Homepage, Google-Scholar
Zubair Khalid RA ANU Homepage, Google-Scholar
Alice Bates PhD-1 ANU Homepage
Usama Elahi PhD-2 ANU Homepage

## Publications Supported by Grant

### Acknowledgement Text for Publications

The following text needs to be added to any paper representing research done under the grant:

This work is supported by the Australian Research Council’s Discovery Projects funding scheme (Project no. DP150101011).

### 2015–2016 Journal Papers

[1] "Gauss-Legendre Sampling on the Rotation Group", IEEE Signal Process. Lett., vol. 23, no. 2, pp. 207-211, February 2016.

[2] "An Optimal Dimensionality Sampling Scheme on the Sphere with Accurate and Efficient Spherical Harmonic Transform for Diffusion MRI", IEEE Signal Process. Lett., vol. 23, no. 1, pp. 15-19, January 2016.

[3] "Novel Sampling Scheme on the Sphere for Head-Related Transfer Function Measurements", IEEE/ACM Trans. Audio Speech Language Process., vol. 23, no. 6, pp. 1068-1081, June 2015.

[4] "3D Spatial Fading Correlation for Uniform Angle of Arrival Distribution", IEEE Commun. Lett., vol. 19, no. 6, pp. 1073-1076, June 2015.

[5] "Slepian Spatial-Spectral Concentration on the Ball", Appl. Comput. Harmon. Anal., 2015 (Preprint online 27 March 2015; DOI: 10.1016/j.acha.2015.03.008).

[6] "Spherical Harmonic Expansion of Fisher-Bingham Distribution and 3D Spatial Fading Correlation for Multiple-Antenna Systems", IEEE Trans. Veh. Technol., 2015 (Preprint online 03 August 2015; DOI: 10.1109/TVT.2015.2463731).

### 2015–2016 Conference Papers

[1] "On the use of Slepian Functions for the Reconstruction of the Head-Related Transfer Function on the Sphere", Proc. Int. Conf. Signal Processing and Communication Systems, ICSPCS'2015, Cairns, Australia, pp. 7, December 2015.