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SEMINAR: Groups and Combinatorics Seminar: Combinatorial designs and compressed sensing

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Today's date is Friday, March 29, 2024
Groups and Combinatorics Seminar: Combinatorial designs and compressed sensing Other events...
Time and place: 14:00 Thursday 2 April in Blakers LT.

Speaker: Padraig O Cathain (Monash University)

Title: Combinatorial designs and compressed sensing.

Abstract: Traditionally signal sampling and signal processing have been regarded as two separate tasks. Shannon's theorem relates the number of samples to the quality of the reconstruction: more samples are required for higher quality data. Compressed sensing is a new paradigm in signal processing in which sampling and compressing are combined into a single step. Under certain weak conditions, this reduces the number of samples required below the Shannon limit, without any loss in quality.

Tao's breakthrough papers on this topic showed that random matrices make good compressed sensing matrices. But such arrays are difficult to compute and to store, so are of limited practical use. In this talk we will outline the properties required of a good compressed sensing matrix, and describe a construction for such arrays using Hadamard matrices and pairwise balanced designs.
Contact Gabriel Verret <[email protected]>
Start Thu, 02 Apr 2015 14:00
End Thu, 02 Apr 2015 15:00
Submitted by Gabriel Verret <[email protected]>
Last Updated Fri, 10 Apr 2015 12:06
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