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Analysis of Casino Shelf Shuffling Machines
Casino Shelf Shuffling Machines Combinatorics Probability
2011/9/9
Abstract: Many casinos routinely use mechanical card shuffling machines. We were asked to evaluate a new product, a shelf shuffler. This leads to new probability, new combinatorics, and to some practi...
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...
Matrix operators for complex interferometer analysis
matrix multiplication fiber optic sensors gyroscopes integrated optics
2011/1/14
A modeling methodology and matrix formalism is presented that permits analysis of arbitrarily complex interferometric waveguide systems, including polarization and backreflection effects.
Performance Analysis of the Matrix Pair Beamformer with Matrix Mismatch
Performance Analysis Matrix Pair Beamformer Matrix Mismatch
2010/12/14
Matrix pair beamformer (MPB) is a blind beamformer. It exploits the temporal structure of the signal of interest (SOI) and applies generalized eigen-decomposition to a covariance matrix pair. Unlike o...
Analysis and separation of time-frequency components in signals with chaotic behavior
time-frequency components chaotic behavior
2010/4/2
The analysis of chaotic signals with time-frequency methods is considered. For this purpose, two new transformations are presented which consist in the decomposition of a signal onto an orthogonal set...