Decoding cosets of first-order Reed-Muller code

Proper encoding of transmitted information can improve the performance of a communication system. To recover the information at the receiver it is necessary to decode the received signal. For many codes the complexity and slowness of the decoder is so severe that the code is not feasible for practical use. This thesis considers the decoding problem for one such class of codes, the comma-free codes related to the first-order Reed-Muller codes.

A factorization of the code matrix is found which leads to a simple, fast, minimum memory, decoder. The decoder is modular and only n modules are needed to decode a code of length 2ⁿ. The relevant factorization is extended to any code defined by a sequence of Kronecker products.

The problem of monitoring the correct synchronization position is also considered. A general answer seems to depend upon more detailed knowledge of the structure of comma-free codes. However, a technique is presented which gives useful results in many specific cases.

Bragg diffraction of multilayer volume holographic gratings under ultrashort laser pulse readout

The multilayer coupled wave theory is extended to systematically investigate the diffraction properties of multilayer volume holographic gratings (MVHGs) under ultrashort laser pulse readout. Solutions for the diffracted and transmitted intensities, diffraction efficiency, and the grating bandwidth are obtained in transmission MVHGs. It is shown that the diffraction characteristics depend not only on the input pulse duration but also on the number and thickness of grating layers and the gaps between holographic layers. This analysis can be implemented as a useful tool to aid with the design of multilayer volume grating-based devices employed in optical communications, pulse shaping, and processing. (C) 2008 Optical Society of America

The structure of liquid argon as determined by x-ray diffraction

X-ray diffraction measurements and subsequent data analyses have been carried out on liquid argon at five states in the density range of 0.91 to 1.135 gm/cc and temperature range of 127 to 143°K. Duplicate measurements were made on all states. These data yielded radial distribution and direct correlation functions which were then used to compute the pair potential using the Percus-Yevick equation. The potential minima are in the range of -105 to -120°K and appear to substantiate current theoretical estimates of the effective pair potential in the presence of a weak three-body force.

The data analysis procedure used was new and does not distinguish between the coherent and incoherent absorption factors for the cell scattering which were essentially equal. With this simplification, the argon scattering estimate was compared to the gas scattering estimate on the laboratory frame of reference and the two estimates coincided, indicating the data normalized. The argon scattering on the laboratory frame of reference was examined for the existence of the peaks in the structure factor and the existence of an observable third peak was considered doubtful.

Numerical studies of the effect of truncation, normalization, the subsidiary peak phenomenon in the radial distribution function, uncertainties in the low angle data relative to errors in the direct correlation function and the distortion phenomenon are presented.

The distortion phenomenon for this experiment explains why the Mikolaj-Pings argon data yielded pair potential well depths from the Percus-Yevick equation that were too shallow and an apparent slope with respect to density that was too steep compared to theoretical estimates.

The data presented for each measurement are: empty cell and cell plus argon intensity, absorption factors, argon intensity, smoothed argon intensity, smoothed argon intensity corrected for distortion, structure factor, radial distribution function, direct correlation function and the pair potential from the Percus-Yevick equation.

Corrections to the paraxial approximation of an arbitrary free-propagation beam

A relatively simple transform from an arbitrary solution of the paraxial wave equation to the corresponding exact solution of the Helmholtz wave equation is derived in the condition that the evanescent waves are ignored and is used to study the corrections to the paraxial approximation of an arbitrary free-propagation beam. Specifically, the general lowest-order correction field is given in a very simple form and is proved to be exactly consistent with the perturbation method developed by Lax et nl. [Phys. Rev. A 11, 1365 (1975)]. Some special examples, such as the lowest-order correction to the paraxial approximation of a fundamental Gaussian beam whose waist plane has a parallel shin from the z = 0 plane, are presented. (C) 1998 Optical Society of America.

Elimination of zero-order diffraction in digital holography

A simple method to suppress the zero-order diffraction in the reconstructed image of digital holography is presented. In this method, the Laplacian of a detected hologram is used instead of the hologram itself for numerical reconstruction by computing the discrete Fresnel integral. This method can significantly improve the image quality and give better resolution and higher accuracy of the reconstructed image. The main advantages of this method are its simplicity in experimental requirements and convenience in data processing. (C) 2002 Society of Photo-optical Instrumentation Engineers.

Avaliação da qualidade das medições fotogramétricas da versão integrada do software livre E-FOTO.

Na década de 90 com o aumento da capacidade de processamento e memória dos computadores, surgiu a fotogrametria digital, que tem como objetivo principal o mapeamento automático das feições naturais e artificiais do terreno, utilizando a imagem fotogramétrica digital como fonte primária de dados. As soluções fotogramétricas se tornaram mais compactas e versáteis. A estação fotogramétrica digital educacional E-FOTO é um projeto multidisciplinar, em desenvolvimento no laboratório de Fotogrametria Digital da Universidade do Estado do Rio de Janeiro, que se baseia em dois pilares: autoaprendizado e gratuidade. Este trabalho tem o objetivo geral de avaliar a qualidade das medições fotogramétricas utilizando a versão integrada 1.0β do E-FOTO. Para isso foram utilizados dois blocos de fotografias de regiões distintas do planeta: um bloco de fotografias (2005) do município de Seropédica-RJ e um bloco de fotografias antigas (1953) da região de Santiago de Compostela, na Espanha. Os resultados obtidos com o E-FOTO foram comparados com os resultados do software comercial de fotogrametria digital Leica Photogrammetry Suite (LPS 2010) e com as coordenadas no espaço-objeto de pontos medidos com posicionamento global por satélite (verdade de campo). Sendo possível avaliar as metodologias dos softwares na obtenção dos parâmetros das orientações interior e exterior e na determinação da exatidão das coordenadas no espaço-objeto dos pontos de verificação obtidas no módulo estereoplotter versão 1.64 do E-FOTO. Os resultados obtidos com a versão integrada 1.0β do E-FOTO na determinação dos parâmetros das orientações interior e exterior e no cálculo das coordenadas dos pontos de verificação, sem a inclusão dos parâmetros adicionais e a autocalibração são compatíveis com o processamento realizado com o software LPS. As diferenças dos parâmetros X0 e Y0 obtidos na orientação exterior com o E-FOTO, quando comparados com os obtidos com o LPS, incluindo os parâmetros adicionais e a autocalibração da câmara fotogramétrica, não são significativas. Em função da qualidade dos resultados obtidos e de acordo com o Padrão de Exatidão Cartográfica, seria possível obter um documento cartográfico Classe A em relação à planimetria e Classe B em relação à altimetria na escala 1/10.000, com o projeto Rural e Classe A em relação à planimetria e Classe C em relação à altimetria na escala 1/25.000, com o Projeto Santiago de Compostela. As coordenadas tridimensionais (E, N e H) dos pontos de verificação obtidas fotogrametricamente no módulo estereoplotter versão 1.64 do E-FOTO, podem ser consideradas equivalentes as medidas com tecnologia de posicionamento por satélites.

On the dynamic readout of sub-diffraction-limit pit arrays with a silver thin film

Fast moving arrays of periodic sub-diffraction-limit pits were dynamically read out via a silver thin film. The mechanism of the dynamic readout is analysed and discussed in detail, both experimentally and theoretically. The analysis and experiment show that, in the course of readout, surface plasmons can be excited at the silver/air interface by the focused laser beam and amplified by the silver thin film. The surface plasmons are transmitted into the substrate/silver interface with a large enhancement. The surface waves at the substrate/silver interface are scattered by the sinusoidal pits of sub-diffraction-limit size. The scattered waves are collected by a converging lens and guided into the detector for the readout.

Structure-change-dependent transmittance of PtOx thin film in super-resolution near-field structure: Diffraction effect analysis

To study working mechanism of super-resolution near-field structure (super-RENS) optical disk from a far-field optics view is very necessary because of the actual far-field writing/readout process in the optical disk system. A Gaussian diffraction model based on Fresnel-Kirchhoff diffraction theory of PtOx-type super-RENS has been set up in this Letter. The relationship between micro-structural deformation (change of bubble structure and refractive index profile) with far-field optical response of PtOx thin film has been studied with it in detail. The simulation results are in good agreement with the experimental results reported in literatures with a designed configuration. These results may provide more quantitative information for better understanding of the working mechanism of metal-oxide-type super-RENS. (c) 2007 Elsevier B.V. All rights reserved.