# Problems and Applications in Finite Frame Theory

## Description

A frame in a vector space is roughly a set of vectors that contains a basis. For example, the set {(1,0), (0,1), and (1, 1)} is a frame in the two-dimensional plane. Originally developed in 1956, the theory of frames is now a well-established field in which redundancy appears both as a mathematical concept and as a methodology for signal processing. Frames (or redundant systems) have become a standard notion in applied mathematics, computer science, and engineering because they ensure resilience against noise, quantization errors, and erasures in signal transmissions. In this talk, De Carli will present basics about the theory of frames and provide a few applications. In particular, she will discuss tight frames and share new results obtained in collaboration with her student Zhongyuan Hu.

## Date of Event

November 6, 2013 12 - 1:00 PM

## Location

Carl DeSantis Building, Room 1047, 3301 College Ave., Fort Lauderdale (main campus)

## NSU News Release Link

http://nsunews.nova.edu/have-fun-with-finite-frames-at-next-math-colloquium-talk-nov-6/

Problems and Applications in Finite Frame Theory

Carl DeSantis Building, Room 1047, 3301 College Ave., Fort Lauderdale (main campus)

A frame in a vector space is roughly a set of vectors that contains a basis. For example, the set {(1,0), (0,1), and (1, 1)} is a frame in the two-dimensional plane. Originally developed in 1956, the theory of frames is now a well-established field in which redundancy appears both as a mathematical concept and as a methodology for signal processing. Frames (or redundant systems) have become a standard notion in applied mathematics, computer science, and engineering because they ensure resilience against noise, quantization errors, and erasures in signal transmissions. In this talk, De Carli will present basics about the theory of frames and provide a few applications. In particular, she will discuss tight frames and share new results obtained in collaboration with her student Zhongyuan Hu.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2013-2014/events/10

## Presenter Bio

Laura De Carli has a Ph.D. and teaches at Florida International University