Abstract: An apparatus includes a first communication device with multiple antennas, operably coupled to a processor and configured to access a codebook of transformation matrices. The processor generates a set of symbols based on an incoming data, and applies a permutation to each of the symbols to produce a set of permuted symbols. The processor transforms each of the permuted symbols based on at least one primitive transformation matrix, to produce a set of transformed symbols. The processor applies, to each of the transformed symbols, a precode matrix selected from the codebook of transformation matrices to produce a set of precoded symbols. The codebook of transformation matrices is accessible to a second communication device. The processor sends a signal to cause transmission, to the second communication device, of multiple signals, each representing a precoded symbol from the set of precoded symbols, each of the signals transmitted using a unique antenna from the plurality of antennas.

Abstract: Disclosed herein is method and fault detection system for detecting faults in one or more products. In an embodiment, method comprises generating plurality of wavelet coefficients corresponding to transformed images of each of the one or more products and determining a set of invariant features from the plurality of wavelet coefficients. Further, a dynamic set of invariant features is generated by grouping invariant features into a set of groups based on type of the one or more products. Subsequently, the dynamic set of invariant features is quantized based on a predetermined quantization threshold and a representative coefficient signature is associated for each group in the dynamic set of invariant features. Finally, faults in the one or more products are detected by comparing coefficient signatures associated with the one or more products with the representative coefficient signature of each group in the dynamic set of invariant features.

Abstract: A method includes generating, via a first processor of a first compute device, symbols based on an incoming data and decomposing a unitary matrix of size N×N by: 1) applying a permutation to each symbol using a permutation matrix, to produce permuted symbols, and 2) transforming each symbol using at least one primitive transformation matrix of size M×M, M being smaller than or equal to N, to produce transformed symbols. The method also includes sending a signal representing the transformed symbols to a plurality of transmitters for transmission of a signal representing the transformed symbols to a plurality of receivers. A signal representing the unitary matrix is sent to a second compute device for transmission of the unitary matrix to the receivers for recovery of the plurality of symbols at the plurality of receivers.

Abstract: A method includes generating, via a first processor of a first compute device, symbols based on an incoming data and decomposing a unitary matrix of size N×N by: 1) applying a permutation to each symbol using a permutation matrix, to produce permuted symbols, and 2) transforming each symbol using at least one primitive transformation matrix of size M×M, M being smaller than or equal to N, to produce transformed symbols. The method also includes sending a signal representing the transformed symbols to a plurality of transmitters for transmission of a signal representing the transformed symbols to a plurality of receivers. A signal representing the unitary matrix is sent to a second compute device for transmission of the unitary matrix to the receivers for recovery of the plurality of symbols at the plurality of receivers.

Abstract: A communication system and the method of operation thereof includes: a block size unit for receiving an input digital data stream; a progressive-Golomb encoder, coupled to the block size unit, for encoding a progressive-Golomb codeword from the input digital data stream; and a transmitter unit, coupled to the progressive-Golomb encoder for transferring the progressive-Golomb codeword to an output device.

Abstract: A LaNiO3 thin film having extremely few voids is uniformly formed. Provided is a LaNiO3 thin film-forming composition for forming a LaNiO3 thin film. It includes: a LaNiO3 precursor; a first organic solvent; a stabilizer; and a second organic solvent. The first organic solvent includes carboxylic acids, alcohols, esters, ketones, ethers, cycloalkanes, aromatic compounds, or tetrahydrofuran. The stabilizer includes ?-diketones, ?-ketones, ?-keto esters, oxyacids, diols, triols, carboxylic acids, alkanolamines, or polyvalent amines. The second organic solvent has a boiling point of 150° C. to 300° C. and a surface tension of 20 to 50 dyn/cm. The LaNiO3 precursor content is 1 to 20 mass % with respect to 100 mass % of the composition. The stabilizer content is 0 to 10 mol with respect to 1 mol of a total amount of the LaNiO3 precursors. The second organic solvent content is 5 to 20 mass % with respect to the composition.