13,542 research outputs found
Bayesian Approach for Linear Optics Correction
With a Bayesian approach, the linear optics correction algorithm for storage
rings is revisited. Starting from the Bayes' theorem, a complete linear optics
model is simplified as "likelihood functions" and "prior probability
distributions". Under some assumptions, the least square algorithm and then the
Jacobian matrix approach can be re-derived. The coherence of the correction
algorithm is ensured through specifying a self-consistent regularization
coefficient to prevent overfitting. Optimal weights for different correction
objectives are obtained based on their measurement noise level. A new technique
has been developed to resolve degenerated quadrupole errors when observed at a
few select BPMs. A necessary condition of being distinguishable is that their
optics response vectors seen at these specific BPMs should be near-orthogonal.Comment: 6 pages, 6 figure
Hayman's classical conjecture on some nonlinear second order algebraic ODEs
In this paper, we study the growth, in terms of the Nevanlinna characteristic
function, of meromorphic solutions of three types of second order nonlinear
algebraic ordinary differential equations. We give all their meromorphic
solutions explicitly, and hence show that all of these ODEs satisfy the {\it
classical conjecture} proposed by Hayman in 1996.Comment: 15 pages, to appear, Complex variables and elliptic equation
Data expansion with Huffman codes
The following topics were dealt with: Shannon theory; universal lossless source coding; CDMA; turbo codes; broadband networks and protocols; signal processing and coding; coded modulation; information theory and applications; universal lossy source coding; algebraic geometry codes; modelling analysis and stability in networks; trellis structures and trellis decoding; channel capacity; recording channels; fading channels; convolutional codes; neural networks and learning; estimation; Gaussian channels; rate distortion theory; constrained channels; 2D channel coding; nonparametric estimation and classification; data compression; synchronisation and interference in communication systems; cyclic codes; signal detection; group codes; multiuser systems; entropy and noiseless source coding; dispersive channels and equalisation; block codes; cryptography; image processing; quantisation; random processes; wavelets; sequences for synchronisation; iterative decoding; optical communications
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