Compressed Sensing for Frequency Analysis; Beyond the Nyquist-Shannon Sampling Theorem

Leon Craven (The Australian National University)

DATE: 2009-08-27
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU

ABSTRACT:
Compressed Sensing is a method of reconstructing an N-point signal from fewer than N samples, using the knowledge that the signal is sparse in some basis. While this is not a new idea, it has gained momentum in recent years due to several advances in the field.

This seminar will provide a brief summary of compressed sensing and how it could be applied to frequency analysis. It will be shown that analogue-to-digital conversion of band limited signals is possible at a sub-Nyquist rate, using the knowledge that the signal is sparse in the frequency domain. A toy sub-Nyquist rate example will be presented using a band limited signal sampled via a sound card.

BIO:
Leon is currently a PhD candidate at the Australian National University with additional support from NICTA. Previously he worked as an engineer in the Australian defence and telecommunication industries. He obtained a double degree in engineering (Class I Honours) and science at James Cook University, Townsville, at the beginning of 2005.

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