17 results about "Vandermonde matrix" patented technology

The invention discloses a channel estimation method and system for a flow-state antenna-assisted symbiotic communication system, and the method comprises the steps: arranging a base station, a user and a backscattering device for the flow-state antenna-assisted symbiotic communication system, and installing a flow-state antenna on the base station to assist transmission; the uplink pilot frequency transmission is divided into two stages, and in the two stages, the user and the backscattering device send pilot frequency signals to the base station; carrying out matrix processing on the direct link channel and the backscattering link channel, and converting the direct link channel and the backscattering link channel into Vandermonde matrixes; a channel is obtained based on the converted Vandermonde matrix, and channel estimation is performed on a direct link and a backscattering link by using a least square regression method; according to the invention, channel estimation can be carried out more accurately, the signal processing complexity is lower, and the requirement on system hardware is reduced.

The invention belongs to the technical field of telecommunication, and discloses a two-dimensional RS code encoding and decoding method for streaming media data transmission. The method comprises the following steps: dynamically setting a coding parameter set based on network state data and application service data; constructing a finite field I and a finite field II based on the coding parameter set; constructing a Vandermonde matrix inverse matrix set based on the finite field 2; constructing an RS code generation matrix based on the finite field I, the finite field II and the Vandermonde matrix inverse matrix set; performing two-dimensional coding on the K original data packets based on an RS code generation matrix and a Vandermonde matrix inverse matrix set to generate R redundant data packets; the receiving end carries out decoding according to the received original data packets and the redundant data packets, and if the number of the received data packets is K, the K original data packets are directly recovered; if the V redundant data packets and the K-V original data packets are received, decoding recovery operation is carried out; according to the invention, accurate error correction and controllable fault tolerance of streaming media data transmission are realized.

The invention particularly relates to a cloud native high-availability object storage method based on erasure codes. The cloud native high-availability object storage method based on erasure codes comprises the following steps: dividing original data into k data blocks, and generating m-k verification blocks; constructing an m * k matrix by using a Vandermonde matrix, wherein the m * k matrix is used for coding erasure codes; elements in the matrix are Byte values in a GF (28) finite field; the data blocks and the verification blocks are stored in a distributed mode, and when data needs to be read, the data blocks and the verification blocks are calculated through an inverse matrix of the Vandermonde matrix; when the number of the storage nodes is increased or decreased, the coefficient matrix is recalculated, and redistribution storage and dynamic capacity expansion are achieved. According to the cloud native high-availability object storage method based on the erasure codes, storage dynamic capacity expansion and data integrity protection are achieved, lost and damaged data can be recovered, the high availability of storage services is improved, the stability and continuity of core services are guaranteed, and the safety and high availability of a cloud native platform are improved.

The present invention discloses an aircraft wing design method, terminal device, and storage medium. The method obtains the coordinates of wing boundary grid points, sorts the grid point coordinates, determines the adjacency relationship between grid points on the wing boundary based on the sorting result, and divides the wing boundary into n segments based on the adjacency relationship. The method then determines whether the n-segment cycle of the wing boundary has ended. If so, the cycle ends. Otherwise, a Vandermonde matrix is ​​constructed for each segment of the boundary curve. The polynomial degree of the i-th segment boundary curve is determined, and the polynomial Vandermonde matrix is ​​normalized. The polynomial coefficients are calculated using the normalized Vandermonde matrix to determine the high-order polynomial curve of the i-th segment of the wing. The method effectively reduces the error between the calculated shape and the actual shape, thereby greatly improving the accuracy of the computational simulation.

The invention discloses an aircraft wing design method, terminal equipment and a storage medium, and the method comprises the steps: obtaining the coordinates of grid points of a wing boundary, sorting the coordinates of the grid points, determining the adjacent relation between the grid points on the wing boundary according to the sorting result, and dividing the wing boundary into n segments according to the adjacent relation; judging whether n sections of circulation of the wing boundary are finished or not, and if yes, finishing; otherwise, constructing a Vandermonde matrix for each section of boundary curve; judging the polynomial times of the i-th section of boundary curve, and normalizing a polynomial Vandermonde matrix; and calculating a polynomial coefficient by using the normalized Vandermonde matrix, and determining a high-order polynomial curve of the ith section of wing. According to the method, the error between the calculation shape and the actual shape is effectively reduced, so that the calculation simulation precision is greatly improved.

The present invention proposes a method for constructing a locally recoverable code, which includes the following steps: initializing parameters; constructing and partitioning a Vandermonde matrix; constructing a summation matrix L; constructing a generator matrix G; and obtaining the construction result of the locally recoverable code. The present invention deploys a local check block, a global check block linearly associated with it, and an original data block in each cluster. This achieves the advantage of only needing to read other nodes in a cluster when recovering a node in the cluster, thus avoiding cross-cluster bandwidth. Furthermore, the generator matrix is ​​constructed by constructing a compression matrix and then a summation matrix, so that the generated local check block can be represented as a linear combination of the global check block and the original data block in the same cluster. This avoids the defect of needing to read all original data blocks when repairing the global check block, effectively improving data recovery efficiency.

The application discloses a meshless frequency estimation method for layout unconstrained blade tip timing signal and belongs to the technical field of array signal processing. The method comprises the following steps: setting a sampling model; setting the sampling model of the irregular layout of the blade tip timing signal according to the basic principle of the blade tip timing and the continuous compressive sensing theory; obtaining the rank constraint optimization problem description based on the atomic norm from the sampling model; obtaining the characteristic matrix through the irregular Vandermonde matrix decomposition; solving the rank constraint optimization problem based on the atomic norm through the alternating projection algorithm; and obtaining the frequency estimation value of the signal from the irregular Vandermonde matrix based on the polynomial root estimation method of the root multiple signal classification. The application is based on the basic principle of the blade tip timing and the continuous compressive sensing theory, and the frequency grid does not need to be divided in advance, so that the sensor layout is not restricted by the sparse linear array layout, and the blade tip timing signal obtained is uniform.

The present disclosure provides a method for estimating multipath channel parameters in a RIS system using structured tensor decomposition. The method first constructs a multipath signal tensor by designing a pilot sequence, a RIS reflection coefficient matrix, and a base station receive combining matrix. The baseband received signals for each subcarrier and time slot are collected and reconstructed into a fifth-order signal tensor whose expression contains a Vandermonde matrix as a mode 1 factor matrix A1. Vandermonde structured tensor decomposition is then performed: the Vandermonde structure of matrix A1 is used to multiplex the received signals, augmenting the fifth-order signal tensor into a sixth-order signal tensor. The factor matrix A1 is recovered using the ESPRIT algorithm, and then other factor matrices are recovered to recover the fifth-order signal tensor. Finally, the recovered fifth-order signal tensor is used to estimate the multipath channel parameters. The present invention enables multipath channel parameter estimation for a RIS system in a full multipath environment.

This application discloses a data decryption method, apparatus, device, and medium based on an SP network structure, relating to the field of information security technology. The method includes: acquiring ciphertext data sent by a user terminal; the ciphertext data is data obtained by encrypting plaintext data by the user terminal based on the SP network structure, wherein the P-box in the SP network structure is constructed based on a preset Vandermonde fusion matrix, and the Vandermonde fusion matrix is ​​constructed based on the original Vandermonde matrix and a Vandermonde fusion matrix obtained by transforming the original Vandermonde matrix; acquiring encryption parameters corresponding to the S-box and P-box in the SP network structure; the encryption parameters include the Vandermonde fusion matrix; performing an inversion operation on the Vandermonde fusion matrix to obtain a target inverse matrix; determining a first decryption parameter corresponding to the P-box based on the target inverse matrix; and using the first decryption parameter and a second decryption parameter corresponding to the S-box to decrypt the ciphertext data to obtain the plaintext data. This application can improve the inversion efficiency during decryption calculation.

The invention discloses a Vandermonde matrix-based life prediction method for a switch cabinet circuit breaker, which can accurately predict the health state of the switch cabinet circuit breaker. According to the method, the Vandermonde matrix and the polynomial fitting technology are combined, accurate prediction and intelligent management of the service life of the low-voltage switch cabinet circuit breaker are achieved, and compared with a traditional method, experimental data display shows that the prediction accuracy is improved by about 30%. Meanwhile, potential faults can be warned in advance, operation and maintenance personnel can be helped to take prevention measures in time, and unnecessary maintenance times and downtime are reduced. Based on the prediction result, the operation and maintenance work can be more accurately arranged, and the condition of excessive maintenance or untimely maintenance of the equipment is avoided, so that the operation and maintenance cost is effectively reduced. Tests show that after the method is applied, the non-planned shutdown frequency of the equipment is reduced by 40%, and the reliability of a power system is greatly improved. The method is suitable for popularization and application in the power technology field.

The application belongs to the technical field of electric communication, and discloses a two-dimensional RS code encoding and decoding method for streaming media data transmission; the method comprises the following steps: dynamically setting an encoding parameter set based on network state data and application service data; constructing a finite field one and a finite field two based on the encoding parameter set; constructing a Vandermonde matrix inverse matrix set based on the finite field two; constructing an RS code generation matrix based on the finite field one, the finite field two and the Vandermonde matrix inverse matrix set; performing two-dimensional encoding on K original data packets based on the RS code generation matrix and the Vandermonde matrix inverse matrix set, and generating R redundant data packets; a receiving end decodes according to the received original data packets and redundant data packets, if the received data packets are K original data packets, directly restores the K original data packets, if V redundant data packets and K-V original data packets are received, performs a decoding recovery operation; the application realizes accurate error correction and controllable fault tolerance of streaming media data transmission.

This invention discloses a method for calculating the DC component of a signal, aiming to filter out excess harmonic components from a sampled signal. First, a sampling time is selected based on the number of harmonic components to be filtered out. A set of computational equations related to the DC component and the harmonic components to be filtered out is constructed using the sampled signal. The coefficient matrix of the computational equations is then transformed into a Vandermonde matrix to reduce the complexity of the inversion operation. Finally, the DC component of the sampled signal is calculated based on the Vandermonde matrix. This method is suitable for signal processing applications.

The application discloses a large-interval array ultrasonic signal anti-symmetry Lamb wave dispersion extraction method for a cased well, an electronic device and a program product. The method comprises the following steps: constructing a Hankel matrix according to a frequency domain space sequence of a large-interval ultrasonic Lamb wave array signal, and then solving spatial poles; constructing a Vandermonde matrix according to the spatial poles, and then solving real complex amplitudes of the spatial poles; performing adaptive dynamic phase unwrapping on the spatial poles according to a phase velocity of a prior A0 mode, and obtaining phase velocities and spatial attenuation coefficients of all spatial poles in a full frequency band; selecting an initial anchor point according to the real complex amplitudes of the poles in a dynamic pole library; eliminating cross modes and noise interference according to the initial anchor point and a monotonicity constraint of the phase velocity; eliminating artifact points according to a difference between an error mean of imaginary parts of the dynamic poles and a fitting curve and a fitting variance, and obtaining a final A0 mode dispersion curve. The application effectively suppresses spatial aliasing and mode cross artifact.

System and methods for RS / BCH decoding using a low-complexity Chien search architecture including methods to decompose a Vandermonde matrix for parallel Chien search in RS / BCH decoding. The Vandermonde matrix whose elements are in the order of consecutive power of the primitive element is decomposed into matrices with substantially smaller number of non-zero entries by utilizing the standard basis representation of finite field elements. In order to achieve efficient parallel design, additional reformulation is proposed for segments of the Vandermonde matrix so that the same constant multipliers can be utilized to implement the decomposed multiplications of each segment. Accordingly, a low-complexity parallel Chien search architecture is developed.

The invention discloses a sliding network coding and decoding method and system based on a high-order Galois field, and the transmission efficiency and reliability are remarkably improved by optimizing a coding matrix design and a decoding strategy. The method comprises the following steps: at a sending end, adopting a Vandermonde matrix based on a high-order Galois field as a coding matrix, and enhancing linear independence between coding packets; at a receiving end, a dynamic decoding strategy is designed, and the relevance between a successfully decoded packet and a current decoded packet is fully utilized, so that the decoding efficiency is improved; and establishing a performance analysis model based on the Markov chain to realize analysis of the retransmission rate and the packet error rate. According to the scheme, a selective automatic retransmission request and block acknowledgement mechanism is adopted at the sending end, a dynamic decoding strategy is implemented at the receiving end, and finally the low-delay and high-reliability communication target is achieved.

The application relates to the technical field of distributed computing, and discloses an information collaborative processing method and system in a distributed environment, which comprises the following steps: acquiring node connection relations to form a global connection dataset, calculating node connection degrees, average path lengths and comprehensive load scores; screening high-stability nodes as candidate backbones, and selecting a minimum backbone set to cover all non-backbones; periodically collecting local state characteristic vectors of the non-backbones, collecting global state information, and redundantly storing the global state information in the non-backbones after encoding by using a Vandermonde matrix; monitoring backbone abnormalities to trigger reconstruction, and acquiring encoded blocks from the non-backbones by a new backbone node to recover the global state information through error correction code decoding; and publishing an updated task list and routing instruction according to the recovered information to complete collaborative relationship reconstruction. The method can realize reliable storage and rapid recovery of global state information, and significantly improves the self-adaptability, fault tolerance and collaborative efficiency of a distributed system.

This invention proposes an FTM-corrected non-line-of-sight ranging method based on matrix-bundled CSI multipath parameter estimation. First, Channel State Information (CSI) data from WiFi devices is collected, an augmented matrix is ​​constructed, and singular value decomposition is performed to obtain a left singular matrix and singular value vectors. Second, the average power of the CSI is calculated and transformed to the logarithmic domain to determine the maximum number of candidate paths. Based on the singular value vectors, a Minimum Description Length (MDL) criterion is constructed to adaptively estimate the number of effective paths. Then, the propagation delay of each path is obtained using the matrix-bundled algorithm, a Vandermonde matrix is ​​constructed, and the received power of each path is estimated using the least squares method. Finally, the power ratio of the direct path is calculated as a reliability factor. If it is below a threshold, the second strongest path is selected from the reflection paths with power greater than the direct path. If there is only one such path, it is selected. The average delay difference between the reflection path and the direct path is calculated using power weighting, and this delay difference is used to compensate for the FTM receiving timestamp to obtain the corrected ranging distance. This invention does not require a preset number of paths, is highly adaptive, and significantly improves the accuracy of FTM ranging in non-line-of-sight environments.