6 results about "Vandermonde matrix" patented technology

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 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.

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.

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.