The Dynamics of Group Codes: Dual Abelian Group Codes and Systems

Fundamental results concerning the dynamics of abelian group codes (behaviors) and their duals are developed. Duals of sequence spaces over locally compact abelian groups may be defined via Pontryagin duality; dual group codes are orthogonal subgroups of dual sequence spaces. The dual of a complete code or system is finite, and the dual of a Laurent code or system is (anti-)Laurent. If C and C^\perp are dual codes, then the state spaces of C act as the character groups of the state spaces of C^\perp. The controllability properties of C are the observability properties of C^\perp. In particular, C is (strongly) controllable if and only if C^\perp is (strongly) observable, and the controller memory of C is the observer memory of C^\perp. The controller granules of C act as the character groups of the observer granules of C^\perp. Examples of minimal observer-form encoder and syndrome-former constructions are given. Finally, every observer granule of C is an "end-around" controller granule of C.Comment: 30 pages, 11 figures. To appear in IEEE Trans. Inform. Theory, 200

Advancing Grounded Theory: Using Theoretical Frameworks within Grounded Theory Studies

The founding fathers of grounded theory (GT) claimed it is an inductive methodological approach. Yet, some scholars argue that purely inductive GTs are not possible given researchers’ involvement in data collection and analysis. Subsequently, a constructivist GT approach was introduced. Still, full-length methodological articles that include rationales or detailed explanations for using constructivist GT approaches are limited in peer-reviewed journals. The purpose of this article is to highlight the ways in which the author used a constructivist GT approach in his dissertation. Within the article, the author provides concrete examples and a rationale for the ways in which he used a theoretical framework within a constructivist GT study. First, the author introduces literature on GT. Next, the author introduces the theoretical framework used in the study, highlighting the introduction of a theoretical framework as a departure from the traditional tenets of GT. Finally, the author highlights the ways in which he used the theoretical framework to shape the research questions, data collection and analysis, and findings

Spatially Coupled LDPC Codes Constructed from Protographs

In this paper, we construct protograph-based spatially coupled low-density parity-check (SC-LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner graphs into a single coupled chain. By varying L, we obtain a flexible family of code ensembles with varying rates and frame lengths that can share the same encoding and decoding architecture for arbitrary L. We demonstrate that the resulting codes combine the best features of optimized irregular and regular codes in one design: capacity approaching iterative belief propagation (BP) decoding thresholds and linear growth of minimum distance with block length. In particular, we show that, for sufficiently large L, the BP thresholds on both the binary erasure channel (BEC) and the binary-input additive white Gaussian noise channel (AWGNC) saturate to a particular value significantly better than the BP decoding threshold and numerically indistinguishable from the optimal maximum a-posteriori (MAP) decoding threshold of the uncoupled LDPC code. When all variable nodes in the coupled chain have degree greater than two, asymptotically the error probability converges at least doubly exponentially with decoding iterations and we obtain sequences of asymptotically good LDPC codes with fast convergence rates and BP thresholds close to the Shannon limit. Further, the gap to capacity decreases as the density of the graph increases, opening up a new way to construct capacity achieving codes on memoryless binary-input symmetric-output (MBS) channels with low-complexity BP decoding.Comment: Submitted to the IEEE Transactions on Information Theor

Comparison of high-resolution solar irradiance spectra and the solar luminosity in the period 1980-1989

In this research, we aim to determine to what extent the solar irradiance changes measured through the 1980's from orbiting vehicles are accompanied by spectroscopic irradiance changes observable from the ground. We describe fractional changes in line absorption as 'blanketing'. In section 2, we briefly review results obtained in an earlier project and which have been published. Section 3 describes the data of this investigation; section 4 describes the data reduction; section 5 describes the observational results in terms of blanketing; and section 6 describes the interpretation of the measured changes. Section 7 contains an outline of possible uses for Doppler-shift data that emerges with the measurements of the blanketing variations. Section 8 is an outline for future research suggested by our results in this project

On the Minimum Distance of Generalized Spatially Coupled LDPC Codes

Families of generalized spatially-coupled low-density parity-check (GSC-LDPC) code ensembles can be formed by terminating protograph-based generalized LDPC convolutional (GLDPCC) codes. It has previously been shown that ensembles of GSC-LDPC codes constructed from a protograph have better iterative decoding thresholds than their block code counterparts, and that, for large termination lengths, their thresholds coincide with the maximum a-posteriori (MAP) decoding threshold of the underlying generalized LDPC block code ensemble. Here we show that, in addition to their excellent iterative decoding thresholds, ensembles of GSC-LDPC codes are asymptotically good and have large minimum distance growth rates.Comment: Submitted to the IEEE International Symposium on Information Theory 201

A.E.S. Circular, No. 39

During 1979 and 1980, soil fertility research was conducted at two locations in the Delta Clearwater area. One of the test sites, Lee F ett’s Farm, was cleared in the mid-1950s and has been in production for about 25 years. The other test site is situated on a tract of newly cleared land owned by Dennis Green. The new lands site was cleared by the traditional berm-pile method during the winter of 1978-79. This method removes much of the moss layer, and in some cases, part o f the topsoil. Land cleared by this procedure is lower in natural fertility, but has the advantage of enabling the farmer to plant a crop the first summer after clearing. In this publication, progress reports are given for several research projects involving fertilizer use and rates of application.Introduction -- Weather Summary for the 1979 and 1980 Growing Season: Table 1: Climatic Data for Delta Junction During the 1979 and 1980 Growing Season -- Response of Barley to Nitrogen and Phosphorus Fertilizer Applications on New Land: Table 2: Response of Barley to Nitrogen and Phosphorus Fertilizers on New Land in the Delta-Clearwater Area of Alaska -- Variety-Fertilizer Interactions of Barley Grown on Newly Cleared Land: Table 3: Variety-Fertilizer Interactions of Barley Grown on New Land in the Delta-Clearwater Area of Alaska -- Response of Barley and Rapeseed to Sulfur Fertilization: Table 4: Response of Barley to Sulfur Fertilization When Grown Under Different Crop Rotations; Table 5: Response of Sulfur Fertilization When Grown Under Different Crop Rotation

Constitutional and environmental factors related to serum lipid and lipoprotein levels

Serum lipoproteins and lipids in 657 human males correlated to multiple constitutional and environmental variable

Laboratory calibration of AAFE radiometer/scatterometer (RADSCAT)

A brief description of the electrical and mechanical instrument configuration, followed by an extensive discussion of laboratory tests and results are contained herein. This information is required to provide parameters for data reduction, and a basis for analysis of the measurement errors in data taken with this instrument