34 results about "Main diagonal" patented technology

The invention relates to the technical field of electrical digital data processing, and discloses a lightweight-based multi-modal data enhancement method, which comprises the following steps: acquiring a multi-modal feature tensor; extracting a vector orthogonal projection scalar and determining the novelty; updating the global covariance matrix when the novelty is greater than a redundancy threshold, and maintaining the global covariance matrix in a register state when the novelty is not greater than the redundancy threshold; extracting a main diagonal variance component to determine a differential modulation coefficient; calculating a second-order moment manifold projection operator according to the global covariance matrix, and calibrating the operator by using a differential modulation coefficient; the calibrated operator is used for carrying out orthogonal projection on random noise to generate a structured disturbance vector, the structured disturbance vector is superposed to a multi-modal feature tensor to output enhanced features, a novelty judgment mechanism is used for restraining statistical deviation caused by steady-state redundant data, computing resource occupation is reduced, and it is ensured that semantic alignment between modals is maintained in enhanced feature distribution.

The invention discloses a method for generating an amplitude preparation circuit and a quantum state preparation method and device, and the method comprises the steps: setting a main diagonal element of a block matrix as a to-be-prepared amplitude, and setting other elements as 0, so that the block matrix is equivalent to a diagonal matrix, thereby facilitating the construction of a unitary matrix through employing the block matrix, and in the unitary matrix, the unitary matrix is not damaged; the to-be-prepared amplitude is arranged at the upper left corner of the unitary matrix, so that the amplitude preparation of the to-be-prepared quantum state can be carried out by utilizing a circuit corresponding to the unitary matrix, and the preparation of the to-be-prepared quantum state by utilizing a large-scale operator can also be understood, thereby being beneficial to more efficiently and accurately preparing the to-be-prepared quantum state.

Matrix multiplication operations can be implemented, at least in part, on one or more tensor cores of a parallel processing unit. An efficiency of the matrix multiplication operations can be improved in cases where one of the input operands or the output operand of the matrix multiplication operation is a square matrix having a triangular data pattern. In such cases, the number of computations performed by the tensor cores of the parallel processing unit can be reduced by dropping computations and / or masking out elements of the square matrix input operand on one side of the main diagonal of the square matrix. In other cases where the output operand exhibits the triangular data pattern, computations can be dropped or masked out for the invalid side of the main diagonal of the square matrix. In an embodiment, a library implementing the matrix multiplication operations is provided.

The application discloses a multiple wave prediction method and device, a computing device and a storage medium. The method comprises the following steps: acquiring frequency domain data of any shot point at any seismic trace; generating a seismic data matrix according to the frequency domain data, the seismic data matrix being an upper triangular matrix with a main diagonal line of 0, and any non-first column of the seismic data matrix containing frequency domain data of at least one seismic trace of the same shot point; constructing a multiple wave matrix, the multiple wave matrix being an upper triangular matrix with a main diagonal line of 0, and any non-first column of the multiple wave matrix containing a multiple wave model of at least one seismic trace of the same shot point; establishing a functional relationship between the multiple wave matrix and the seismic data matrix; and obtaining model frequency domain data corresponding to any multiple wave model in the multiple wave matrix according to the functional relationship. According to the scheme, the prediction efficiency of the multiple wave can be improved under the premise of ensuring the prediction accuracy of the multiple wave.

Disclosed is an operation method for executing an addition operation on quantized matrices. This operation method comprises the steps in which: an NPU matrix multiplication unit executes a matrix multiplication operation on a first matrix and a second matrix, wherein the first matrix has a size of R0*2C0 and is obtained by concatenating a first input tensor and a second input tensor, each of which is composed of quantized values and has a size of R0*C0, and the second matrix is obtained by concatenating a first diagonal matrix having a size of C0*C0 and having all main diagonal element values equal to integer N1 and a second diagonal matrix having a size of C0*C0 and having all main diagonal element values equal to integer N2; and an NPU vector processing unit calculates elements of a non-quantized tensor obtainable by adding the second input tensor to the first input tensor, by adding real number B to a product of real number R and a third matrix calculated by the matrix multiplication operation.

The invention provides an internal force calculation method and system for a door-shaped tower multi-nominal-height tower leg component for realizing a digital power grid, and relates to the technical field of digital power grids. According to the method, basic parameter information of the door-shaped tower is firstly obtained, then load influence factors under different non-uniform icing working conditions are considered, and the load design value at the line hanging point of the door-shaped tower is calculated. The load design value is used for solving the main material internal force and the inclined material internal force of the tower leg under each door-shaped tower subtower nominal height combination, and the most unfavorable internal force is determined; based on the most unfavorable internal force of the shortest and longest tower leg main diagonal members, the method further utilizes an interpolation method to calculate the main diagonal member internal force of each tower leg. Based on the method, the requirements of tower legs with different heights can be met, and the design flexibility and adaptability are improved. In addition, the method is beneficial to reducing potential safety hazards caused by improper design, reducing operation risks of a power grid system, promoting digital application of power grid design and promoting the power grid to develop in a more intelligent and safer direction.

This invention belongs to the field of sparse matrix storage and distributed parallel computing technology. It discloses an adaptive storage and parallel computing method for sparse matrices based on vertex cutting and two-stage compression. The method includes: initializing a cross-linked list in memory for dynamic assembly of sparse matrix elements; reducing the dimensionality of the dynamically assembled cross-linked list data structure to a one-dimensional continuous compressed sparse row format using a two-stage traversal algorithm; constructing a heuristic diagnostic model based on row non-zero variance and diagonal occupancy to achieve adaptive matrix storage; extracting the pure graph topology after removing self-loop elements on the main diagonal of the sparse matrix, and performing multi-way recursive graph segmentation based on vertex cutting on the pure graph topology to generate a distributed mapping array; and constructing a communication scheduling table based on the distributed mapping array to achieve deep overlap between non-blocking data exchange and local matrix computation. This invention significantly improves the storage compression rate and parallel computing scalability of large sparse matrices.

This invention relates to the field of digital signal processing technology, and discloses a DSP multi-core parallel QR decomposition method and apparatus based on tile algorithm. The method includes: dividing the matrix to be decomposed into blocks in the horizontal direction according to the number of cores of the DSP processor and setting tile blocks; performing QR decomposition on the main diagonal tile blocks; and updating all tile blocks to the right of the main diagonal tile blocks in the horizontal direction; pairwise coupling of the main diagonal tile blocks with each tile block in the vertical direction of the same column; performing QR decomposition on the coupling matrix formed by each pair of couplings; and updating all coupling matrices to the right of the pair of coupling matrices in the horizontal direction; and cyclically executing the decomposition and horizontal update of the main diagonal tile blocks, the coupling decomposition of the tile blocks in the same column, and the update of the right coupling matrix until all main diagonal tile blocks in the matrix to be decomposed have been processed, resulting in an upper triangular matrix. This invention can fully utilize the parallel processing advantages of multi-core processors to achieve inter-core parallel data processing.

The application discloses a frequency coupling grid-connected inverter stability improvement method, which introduces the q-axis voltage and the q-axis current after the suppression link into the q-axis control in the form of positive feedback as the reference value of the q-axis current through the q-axis voltage loop compensation mode. The strategy can ingeniously utilize the sign difference of the frequency domain convolution itself in the positive sequence and the negative sequence, realize the increase of the amplitude of the main diagonal line subsystem in the admittance matrix of the grid-connected inverter, and greatly reduce the amplitude of the coupling subsystem, so that the coupling subsystem is negligible compared with the main diagonal line subsystem, and the frequency coupling oscillation is essentially suppressed and the stability of the system is improved.

The application discloses a running-in state identification method based on a friction signal threshold-free recursive analysis result, extracts nonlinear components of a friction signal time sequence output in a friction and wear process by collecting the friction signal time sequence; constructs a threshold-free recursive matrix by combining a sliding window and an avoidance embedding phase space reconstruction method and realizes visualization of the threshold-free recursive matrix in a two-dimensional plane; divides a lower triangular matrix of the threshold-free recursive matrix into several regions by a group of equidistant line segments parallel to a main diagonal line of the recursive matrix, extracts mean values of recursive elements in the regions, analyzes a change rate of element values of the threshold-free recursive matrix when the threshold-free recursive matrix transitions along the main diagonal line to edges and corners as a recursive measure, analyzes variation rules of the recursive measure along with a running-in and wear process, and further realizes running-in state online identification driven by the friction signal threshold-free recursive analysis result. The application optimizes a recursive characteristic representation and a measure extraction method of the friction signal time sequence, and realizes running-in state online identification from a perspective of dynamics-friction coupling.

The application discloses a multifunctional radar wave element extraction method and system based on a dot matrix model, and the method comprises the following steps: for a multifunctional radar (MFR) pulse sequence, a dot matrix (D) based on a pulse repetition interval (PRI) value, a pulse width (PW) value and a radio frequency (RF) value is respectively constructed according to the threshold values of the corresponding PRI value, PW value and RF value of the MFR pulse sequence; PRI ,D RF ,D PW ; the constructed dot matrix (D PRI ,D RF ,D PW is respectively subjected to image preprocessing, image hole filling and image closing operation; an L-shaped corner point on a main diagonal line of the preprocessed dot matrix is detected by using a Harris corner point detection operator, that is, a wave element starting point; and a union set of the detection results is obtained, that is, a wave element starting pulse set. The application does not depend on cluster parameter setting, can fully utilize the overall modulation law of the wave element, reduces the false alarm probability while improving the wave element detection probability, and still has good performance in the case that the pulse is lost or the parameter measurement error is large.

A remote sensing image encryption method based on two-dimensional discrete memristor hyperchaotic mapping includes (1) chaotic sequence generation; (2) main diagonal row-column diffusion; (3) pixel position scrambling operation; and (4) sub-diagonal row-column diffusion. This method employs a diffusion-scrambling-diffusion structure, using the obtained chaotic matrix to perform main diagonal row-column diffusion, pixel position scrambling, and sub-diagonal row-column diffusion operations on the plaintext image to obtain the ciphertext image. Experimental results show that this invention can resist differential attacks and brute-force attacks, making it difficult for attackers to obtain effective information from the ciphertext image. It not only has fast and efficient encryption capabilities but also high security performance, successfully ensuring the secure transmission of remote sensing images in the network.

The invention discloses a goodness vector calculation method for measuring modal filtering performance of a vertical linear array. The goodness vector calculation method comprises the following steps: (1) initializing marine environment parameters, line spectrum signal parameters emitted by a sound source and vertical receiving array parameters; (2) calculating each order normal wave mode function excited by a line spectrum signal emitted by a sound source and a receiving sound pressure value at each hydrophone depth of a vertical array by using a Kraken model, and establishing an array receiving sound pressure vector; (3) constructing a sampling mode function matrix, multiplying a pseudo-inverse matrix of the sampling mode function matrix by the sampling mode function matrix to obtain a mode filtering matrix, and calculating a relative attenuation coefficient of each order mode; (4) calculating to obtain a contribution degree matrix by using the modal filtering matrix and the relative attenuation coefficient of each order of modal, and taking out main diagonal element values of the contribution degree matrix to form a goodness vector; according to the method, the modal filtering performance can be quantitatively represented, and a quantitative analysis means is provided for measuring the modal filtering performance under the vertical linear array.

This invention provides an adaptive detection method, apparatus, and device for ship targets in remote sensing images. The method includes: constructing a main diagonal direction and a secondary diagonal direction strongly correlated with the geometric shape of the ship target based on reference points of the ship target, and generating main diagonal sampling points and secondary diagonal sampling points along these two directions. This allows the feature sampling area to be distributed along the possible slender structure of the ship target, overcoming the diffusion of traditional grid sampling strategies. By using a gating network to dynamically generate fusion weights based on the feature responses of the main diagonal direction and the secondary diagonal direction, the actual tilt direction of the ship's body can be adaptively determined, thereby enabling the aggregated sampling to accurately focus on the ship itself. This effectively solves the technical problem that the distribution of sampling points is difficult to fit the ship's contour when processing slender, tilted ship targets, improving the feature extraction accuracy of ship targets and ensuring the accuracy of ship target detection.

Disclosed is a neural network operation method using an NPU, the method comprising the steps of: inputting, by the NPU of a computing device, a matrix stored in a memory and a transposed matrix of the matrix to a matrix multiplication operator; generating, by the matrix multiplication operator, a first output matrix by performing a matrix multiplication operation on the transposed matrix and the matrix; and storing, by the NPU, main diagonal elements of the first output matrix in the memory as a first reduced array of the matrix. The first reduced array is an array including sums of squares of element values included in each column constituting the matrix.

The invention discloses a directed ring causal structure discrimination and estimation method for network intelligent operation and maintenance, relates to the technical field of network intelligent operation and maintenance, and provides a solution based on high-order cumulant matrix analysis for causal discovery and effect estimation requirements of a feedback loop in a network system. A unified cumulant matrix construction principle is established, so that cumulant total orders of main diagonal elements and auxiliary diagonal elements of the matrix are the same; on the basis, the system firstly utilizes rank conditions of a forward three-order cumulant matrix and a reverse three-order cumulant matrix to realize loop detection; and after the existence of the feedback loop is confirmed, constructing a mixed third-order cumulant matrix, constructing a solvable equation about a causal coefficient by utilizing determinant properties, directly completing loop effect estimation, and realizing integration of loop discrimination and effect estimation. According to the method, a complex intra-ring causal effect estimation problem is converted into an algebraic problem which can be solved directly, and accurate causal support is provided for network performance optimization, resource scheduling and safety protection.

The invention provides a dynamic optimization method for strip matrix Cholesky decomposition. The dynamic optimization method comprises the following steps: firstly, generating a partitioning strategy according to hardware characteristics and matrix bandwidth, carrying out iterative computation along a main diagonal, decomposing a current diagonal block and updating in-band related sub-blocks in each iteration, and processing out-of-band data through a working area; secondly, fusing dot product, matrix-vector multiplication and vector scaling operations in diagonal block decomposition into a single kernel function, and dynamically allocating threads according to a current column calculation load; and finally, organizing the decomposition process into a fixed assembly line based on the strategy and the fusion kernel, and scheduling the corresponding kernel to execute along a diagonal sequence according to the block type until the decomposition is completed. The invention further provides a dynamic optimization system for the strip matrix Cholesky decomposition. Therefore, by means of the method, the kernel starting overhead is effectively reduced, the data locality and parallel efficiency are improved, and the calculation performance of strip matrix Cholesky decomposition on a heterogeneous platform is remarkably improved.

This application relates to a building frame reinforcement structure for building construction, comprising multiple mounting brackets for fixed installation on the exterior of the building frame; multiple horizontal frames for fixed installation on the exterior of the building frame are arranged between adjacent mounting brackets, the horizontal frames being arranged at intervals along the length of the mounting brackets; main diagonal braces are arranged at an incline between adjacent horizontal frames, and support members are provided between the horizontal frames and the mounting brackets; one end of each main diagonal brace is provided with a plug-in seat, and the other end of each main diagonal brace is provided with a positioning seat; the plug-in seat is plugged into and fixed to its corresponding support member; multiple sets of plug-in slots are provided on the horizontal frame at intervals, and the positioning seat is plugged into and fixed to its corresponding plug-in slot. This application has the effect of ensuring that the diagonal braces are installed in place, thereby reducing the installation difficulty of the diagonal braces and improving the overall installation efficiency.

Provided are a communication method and device, the method comprising: a terminal device obtaining target phase information from a network device, the target phase information being phase element information of a rotation matrix corresponding to a first precoding matrix, the rotation matrix comprising at least one first matrix and at least one second matrix, the first matrix is a diagonal matrix, an element on a main diagonal line of each first matrix corresponds to at least one piece of first phase element information, each second matrix corresponds to one piece of second phase element information, and then the terminal device processes data to be sent based on the first precoding matrix. Wherein the first precoding matrix is determined based on the target phase information. According to the method, high-precision indication or transmission of the first precoding matrix can be realized, and the overhead generated by indication or transmission can be effectively reduced.

The invention discloses a radar-oriented order constraint Jacobi eigenvalue self-sorting method and system, solves the problem of resource consumption caused by an additional sorting module in a Jacobi iteration eigenvalue decomposition post-processing flow in the prior art, realizes direct output of ordered eigenvalues and eigenvectors, and omits an independent sorting module. The method comprises the steps that a real symmetric matrix A obtained through radar baseband signal sampling and covariance estimation is processed to obtain a compressed array, and a feature vector matrix V is initialized; in the parallel iteration process, index pairs are generated according to a scheduling sequence, sub-matrixes are extracted, two types of asymmetric rotation operators are generated through a condition driving mechanism, and a feature vector matrix is synchronously updated to track feature vectors; global data replacement is carried out, and non-diagonal element energy judgment convergence is calculated; after iteration is ended, feature values arranged in a descending order can be directly extracted from the main diagonal of the final compressed array, and corresponding feature vectors are output and used for direction of arrival estimation.

The application discloses a matrix simplification method and related device applied to electromagnetic transient simulation, and the method comprises the steps of: converting the component admittance matrix of the quantized power system into a graph structure to obtain a graph structure matrix, wherein the nodes of the graph structure matrix represent the matrix rows or columns, and the edges of the graph structure matrix represent the non-zero element connection relationship; performing an augmented path traversal search in the graph structure matrix based on the DFS algorithm, and recording the non-zero row serial numbers and the non-zero column serial numbers; performing reordering processing on the graph structure matrix according to the non-zero row serial numbers and the non-zero column serial numbers to obtain a non-zero diagonal matrix; performing path traversal search on the non-zero diagonal matrix along the main diagonal non-zero element nodes based on the DFS algorithm, and performing non-zero row and column reordering operations to obtain a triangular block structure matrix. The application can solve the technical problems of high computational complexity, lack of numerical stability, increased difficulty in matrix understanding, long computation time and low electromagnetic transient simulation efficiency of the prior art.

The embodiment of the application provides a kind of multi-azimuth seismic attribute tensor fusion method, device, equipment and medium, it is related to oil and gas exploration and development technical field.The method comprises: extracting multiple observation azimuths under seismic attribute data body from five-dimensional seismic data, respectively calculating the corresponding seismic attribute tensor of each observation azimuth under seismic attribute data body, wherein each seismic attribute tensor represents: the change rate of the gradient of seismic attribute in corresponding observation azimuth along the three orthogonal directions of three-dimensional space;The numerical value of the element with the same element position in each seismic attribute tensor is added to obtain a multi-azimuth seismic attribute tensor fusion operator;The sum of the main diagonal elements in the multi-azimuth seismic attribute tensor fusion operator is calculated to obtain the fusion result of the multi-azimuth seismic attribute tensor.In this way, the obtained fusion result eliminates the influence of the angle between the observation coordinate system and the constitutive coordinate system, and effectively fuses the multi-azimuth seismic attribute information.

Provided in the embodiments of the present application are a communication method and apparatus. The method comprises: a terminal device obtaining target phase information from a network device, wherein the target phase information is phase element information of a rotation matrix corresponding to a first precoding matrix, the rotation matrix comprises at least one first matrix and at least one second matrix, the first matrix is a diagonal matrix, an element on a main diagonal line of each first matrix corresponds to at least one piece of first phase element information, and each second matrix corresponds to one piece of second phase element information; and then, on the basis of the first precoding matrix, the terminal device processing data to be sent, wherein the first precoding matrix is determined on the basis of the target phase information. By means of the method, not only can the indication or transmission of a high-precision first precoding matrix be implemented, the overheads generated by the indication or transmission can also be effectively reduced.

The application provides a sensor optimization arrangement method and system based on structural vibration response, and belongs to the technical field of equipment safety detection. The application comprises the following steps: establishing a finite element model of a structure to be monitored; calculating an equivalent energy matrix and an average value of diagonal elements of the equivalent energy matrix; starting from all degrees of freedom, sequentially deleting the minimum value on the diagonal of the equivalent energy matrix, and simultaneously deleting the degree of freedom represented by the value; using the remaining degrees of freedom to construct an iteration matrix; sorting the main diagonal elements on the iteration matrix, selecting the smallest element, and deleting the degree of freedom vector corresponding to the element from the modal matrix; repeating the step until the number of remaining degrees of freedom is equal to the number of sensors to be arranged, wherein the sensors are arranged on the remaining degrees of freedom. The application not only considers high-energy measuring points and improves the noise resistance of the measuring point combination, but also fully guarantees the modal independence and modal information amount of the measuring point combination, and is more suitable for the application of sensor optimization arrangement in actual engineering practice.

Example parameter optimization methods and apparatus are described. In one example parameter optimization method, a data processing device obtains a Kronecker factor matrix that is used to indicate a higher-order information matrix of a neural network model, and segments the Kronecker factor matrix to obtain a plurality of square matrices. The obtained plurality of square matrices are submatrices of the Kronecker factor matrix, and main diagonal lines of the plurality of square matrices each are in a one-to-one correspondence with a part of a main diagonal line of the Kronecker factor matrix. Then, the data processing device adjusts a parameter of the neural network model based on the obtained plurality of square matrices.

This invention discloses an intelligent monitoring method and system for the working status of a building climbing formwork based on the Internet of Things (IoT), belonging to the field of building structural health monitoring technology. The method includes extracting corresponding rows and columns from an initial correlation matrix to obtain a reconstructed covariance matrix, extracting the main diagonal elements of the inverse matrix, constructing a diagonal matrix, calculating the Hadamard product of the reconstructed covariance matrix and the diagonal matrix, and extracting the main diagonal elements of the matrix to form an effective independence vector, thereby monitoring the working status of the building climbing formwork. This invention improves the extraction capability of low-frequency vibration modes and enhances the sensitivity to minute structural changes through empirical mode decomposition (EMD) technology and weighted fusion of dominant mode signals. Furthermore, it enhances the collaborative working capability between different sensor signals through phase difference calculation based on instantaneous phase analysis and energy weighted correction.

The application discloses a kind of based on platform test's electric energy meter error automatic compensation calibration method and system, belong to electric energy meter calibration technical field.The method includes: obtaining the high-frequency pulse sequence and low-frequency pulse sequence generated by the electric energy meter under the stable output of platform;Extract the time interval of adjacent pulse to form high-frequency interval sequence and low-frequency interval sequence;Difference is calculated point by point after two sequences are aligned according to time axis, and pulse deviation matrix is constructed;Error type is determined according to the sign distribution mode of each row vector of pulse deviation matrix;According to error type, compensation coefficient vector is extracted from compensation mapping table, and is decomposed into multistage fine adjustment code, and the integration capacitor switching state of electric energy meter internal digital integrator is adjusted step by step;After each level adjustment is completed, pulse deviation matrix is recalculated, and the polarity of next level adjustment is determined according to the convergence direction of main diagonal elements.The method can accurately identify phase error type, and accurate compensation is realized by adaptive multistage fine adjustment.

The present application relates to the field of shoe sole, specifically relates to a kind of bionic shoe sole design method with propulsion performance, comprising the following sequentially executed steps: S1: construct the insect-like foot point lattice single cell structure of quadrat, S2: define design parameter: the side length of the insect-like foot point lattice single cell structure, the diameter of the insect-like structure knuckle, main diagonal deformation coefficient and secondary diagonal deformation coefficient, define total deformation coefficient, S3: with the total deformation coefficient range of preset, construct the topological structure of different structure, obtain topological structure database, S4: obtain or calculate the energy absorption efficiency and peak propulsion of each topological structure in the topological structure database, and construct topological structure preferred function, S5: calculate the preferred function of each topological structure in the topological structure database, according to demand select the topological structure for filling each area of shoe sole, obtain 3D shoe sole printing scheme;The shoe sole is designed using the insect-like foot point lattice single cell structure constructed in the application, and the motion efficiency is improved.

The invention relates to the technical field of coding, and discloses a coding method and device, electronic equipment and a storage medium. The method comprises the following steps: acquiring a target basic matrix and information bits, wherein check bits of the target basic matrix are obtained by expanding a lifting matrix of which the element values on N-dimensional non-main diagonals are all-1; extracting N sub-matrixes from the target basic matrix, wherein the ith sub-matrix in the N sub-matrixes is composed of elements located at the (i + k * N) th row of the information bit of the target basic matrix and elements located at the (i + k * N) th column of the (i + k * N) th row of the check bit of the target basic matrix; according to each sub-matrix in the N sub-matrixes, coding the information bits to obtain N sub check bit sequences; and generating a check bit sequence according to the N sub-check bit sequences. On the basis of not influencing the coding correctness, the coding operand is reduced, and the coding efficiency is improved.

This disclosure provides an error correction coding method and system for near-optimal binary arrays, relating to the technical field of encoders or decoders. The method includes: acquiring a binary array and preprocessing it; anchoring and locating the preprocessed binary array, transforming global location into local error correction for rows and columns; applying VT checksum constraints to the local error correction regions, introducing a main diagonal checksum equation for the array's rows / columns, enabling the recovery of symbols in missing rows or columns during decoding; recovering affected sub-blocks and determining precise deletion indices based on a VT-type signature error correction mechanism; recovering the remaining symbols in the missing rows / columns using the main diagonal checksum, thus completing the full array decoding. This disclosure approximates the information theory lower bound on redundancy as closely as possible while providing an engineering-practical coding process and complexity guarantee.