Applying numerical linear algebra techniques to analyzing algorithms in signal processing

Applying Numerical Linear Algebra Techniques to Analyzing Algorithms in Signal Processing

Without theoretical evidence to support the use of an algorithm, one can not be certain that if it solves one problem successfully it will necessarily solve all problems successfully. One can analyze an algorithm from many different settings, each having the possibility for different focal points for results and insights. In signal processing, an analysis into the stability of an algorithm can ...

Numerical Linear Algebra in Signal Processing Applications

1 Istituto per le Applicazioni del Calcolo “M. Picone”, sede di Bari, Consiglio Nazionale delle Ricerche Via G. Amendola 122/D, I-70126 Bari, Italy 2Department of Computer Science, Stanford University, Gates Building 2B, Room 280, Stanford, CA 94305-9025, USA 3Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA 4Department of Electrical Engi...

Randomized algorithms in numerical linear algebra

This survey provides an introduction to the use of randomization in the design of fast algorithms for numerical linear algebra. These algorithms typically examine only a subset of the input to solve basic problems approximately, including matrix multiplication, regression and low-rank approximation. The survey describes the key ideas and gives complete proofs of the main results in the field. A...

Numerical Linear Algebra Algorithms and Software

Applying signal processing techniques to water level anomaly detection

The Texas Coastal Ocean Observation Network (TCOON) consists of more than 50 data gathering stations located along the Texas Gulf coast from the Louisiana to Mexico borders. Data sampled at these stations include: precise water levels, wind speed and direction, atmospheric and water temperatures, barometric pressure, and water currents. The measurements collected at these stations are often use...