An apparatus includes data acquisition circuitry and a processor. The data acquisition circuitry is configured to acquire multiple signals using multiple respective electrodes of an array of electrodes coupled to one of an organ of a patient and tissue or a cell culture. The processor is configured to hold a definition of a mixed-norm that is defined as a function of relative positions of the electrodes in the array, and jointly compress the multiple signals in a compressed-sensing (CS) process that minimizes the mixed-norm.

Any one or both of an optical system with a structured lighting pattern and a structured detecting system having a plurality of regions with different optical characteristics are used. In addition, optical signals from an object to be observed through one or a small number of pixel detectors are detected while changing relative positions between the object to be observed and any one of the optical system and the detecting system, time series signal information of the optical signals are obtained, and an image associated with an object to be observed from the time series signal information is reconstructed.

An apparatus includes a sensor having an array of detectors. The sensor is configured to assign multiple detectors to a detector group corresponding to a block pixel. The sensor is also configured, for each frame of a set of frames, to apply a specified one of a set of mask patterns in order to select outputs of the detectors in the detector group and aggregate the selected outputs of the detectors in the detector group to determine pixel information for the block pixel. The apparatus also includes at least one processor configured to generate the frames using the pixel information for the block pixel, and upscale the portion of the at least one of the frames using the set of mask patterns to identify native pixels within the block pixel.

In accordance with an embodiment, the method includes determining a second sequence of numbers of digits for encoding the respective integer coefficient values of the first sequence, the second sequence including, as first element, a first number of digits for encoding the first integer coefficient value of the first sequence, and as second and subsequent elements, constrained numbers of digits that are greater than or equal to respective minimum required numbers of digits for encoding the second and subsequent integer coefficient values of the first sequence. The constrained numbers of digits are such that any two successive elements of the second sequence do not differ from each other by more than a given threshold value. The method further includes encoding difference values between the successive elements of the second sequence; and encoding the integer coefficient values of the first sequence using the respective numbers of digits of the second sequence.

An electronic device, comprising a processor which is configured to reconstruct in real-time a preview image of compressed sensing image data.

Among the various aspects of the present disclosure is the provision of systems and methods of compressed-sensing ultrafast spectral photography.

A fronthaul multiplexer according to one aspect of the present invention combines uplink packets in a compressed state that is received from two or more radio units so that the uplink packets are accumulated and combined immediately when received or the uplink packets are recompressed using a compressing method with high compression efficiency when stored in a memory in order to reduce a use amount of memory.

A system and method for compressive sensing using edge nodes of a distributed computing network. The method includes collecting a raw data signal continuously by a sensor of the edge node. A signal energy indicator is dynamically updated that quantifies an energy distortion in the raw data signal. One or more compression characteristics are determined as a function of the signal energy indicator as the signal energy indicator is updated. The raw data signal is subsampled in accordance with current values of the one or more compression characteristics to create a compressed data signal. An output is transmitted that includes the compressed data signal to a centralized node.

Systems or methods for losslessly compressing data received from sensors, such as photon counters, are disclosed. An integer representation of a sensor reading is received from a sensor. The integer representation is combined with additional integer representations from each of a plurality of additional sensors into a single integer value. The single integer value is then stored as an element of an integer array that represents a predefined sample interval.

A subspace pursuit apparatus for compressive sensing reconstruction includes: a first inner product unit configured to calculate a correlation between a residual vector and column vectors of a sensing matrix by calculating an inner product of them; a first sorting unit coupled to the first inner product unit and configured to select K column vector indices having highest correlations, where K is a sparsity level; a second inner product unit configured to calculate a matrix for calculating a pseudo-inverse matrix required for solving a least-squares from the sensing matrix to store in the Gram matrix buffer; a Cholesky inversion unit configured to perform a Cholesky decomposition of the matrix stored in the Gram matrix buffer and calculate an inverse of a decomposed matrix; and a sparse solution estimator configured to estimate the sparse solution from a matrix value of the matrix based on the inverse of the decomposed matrix.