Weighted Superimposed Codes and Constrained Integer Compressed Sensing

We introduce a new family of codes, termed weighted superimposed codes (WSCs). This family generalizes the class of Euclidean superimposed codes (ESCs), used in multiuser identification systems. WSCs allow for discriminating all bounded, integer-valued linear combinations of real-valued codewords that satisfy prescribed norm and nonnegativity constraints. By design, WSCs are inherently noise tolerant. Therefore, these codes can be seen as special instances of robust compressed sensing schemes. The main results of the paper are lower and upper bounds on the largest achievable code rates of several classes of WSCs. These bounds suggest that, with the codeword and weighting vector constraints at hand, one can improve the code rates achievable by standard compressive sensing techniques.     

Generalized low-density parity-check codes for optical communication systems

This paper is concerned with investigating the performance of regular and irregular, randomlike and structured generalized low-density parity-check (GLDPC) codes for long-haul transmission. The proposed GLDPC codes outperform currently known turbo and low-density parity-check (LDPC) coding schemes with comparable parameters utilized in optical communication systems. For a GLDPC coding scheme with 23.6% redundancy, the largest so far reported coding gain of at least 11dB (at 40 Gb/s) is demonstrated.     

Combinatorial constructions of low-density parity-check codes for iterative decoding

This paper introduces several new combinatorial constructions of low-density parity-check (LDPC) codes, in contrast to the prevalent practice of using long, random-like codes. The proposed codes are well structured, and unlike random codes can lend themselves to a very low-complexity implementation. Constructions of regular Gallager codes based on cyclic difference families, cycle-invariant difference sets, and affine 1-configurations are introduced. Several constructions of difference families used for code design are presented, as well as bounds on the minimal distance of the codes based on the concept of a generalized Pasch configuration.     

Microfillers – Advantageous Potential for White Goods Industry

Market advantage of contemporary appliance product development heavily depends on the polymer materials and related fillers – e.g. micro-fillers. Presented and analyzed is washing machine, its vital product component - plastic tub. Namely, during the product life cycle it is exposed to the simultaneous and severe dynamic thermo-mechanical loads. Material selection for suitable polymer composite is conducted predominantly with time-dependency criteria – creep property at various thermo-mechanical conditions. Experimental validation and polymer material benchmarking is implemented on already regular polymer composites with mineral fillers from 4 different appliance producers (PP + 40 × CaCO₃) on one side with the regular, on market accessible microfiller on other side. The overall study contain comparison of regular PP as basic, reference property in comparison with regular mineral fillers with/without technology processing and microfillers. All these data provide necessary and proper procedure path for the polymer product designer to conduct rational and reliable polymer material selection during polymer product development.