—For the additive white Gaussian noise channel with average codeword power constraint, sparse superposition codes are developed. These codes are based on the statistical high-dimensional regression framework. The paper [IEEE Trans. Inform. Theory 55 (2012), 2541 – 2557] investigated decoding using the optimal maximum-likelihood decoding scheme. Here a fast decoding algorithm, called adaptive su...

We present an upper bound on the probability of error of a signaling scheme that achieves the capacity of the multipath fading channel under an average power constraint in the limit of infinite bandwidth. The bound is derived under the assumption of Rayleigh block fading. We are therefore able to determine the performance of the scheme when a given finite bandwidth is available. We evaluate the...

Yk = HkXk + Zk where k ∈ {1, . . . , N} is the time index and • (X1, . . . , XN ) is the input vector submitted to the average power constraint E ( 1 N ∑N k=1 |Xk| ) ≤ P ; • (Z1, . . . , ZN ) is the noise vector, whose components are i.i.d.∼ NC(0, σ) random variables, independent of X1, . . . , XN ; • (Y1, . . . , YN ) is the output vector; • H1, . . . ,HN are the fading coefficients (to be spe...

For the additive white Gaussian noise channel with average codeword power constraint, sparse superposition codes are developed. Both encoding and decoding are computationally feasible. The codewords are linear combinations of subsets of vectors from a given dictionary, with the possible messages indexed by the choice of subset. An adaptive successive decoder is developed, with which communicati...

The growth in sustainable generation technology such as fuel cell, wind energy conversion system, photovoltaic increase cost, necessity and the reduction fossil reserve, for better power quality reliability, is obliging sector to use renewable based sources. In India, gradually becoming an important significant resource. Keeping opinion aforementioned prediction essential study harnessing prosp...

The average power of solid-state and fiber lasers has considerably increased during the last ten years. The 10 kW power is not record-breaking any longer, and a topical problem nowadays is to create lasers with a power of 100 kW. Therefore, the study of thermal effects caused by absorption of laser radiation in the bulk of optical elements becomes ever more important. The Faraday isolator (FI) ...