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45 results about "Interpolation matrix" patented technology

The Interpolate Matrix (x,y) block interpolates a two-dimensional array of matrices. In two-dimensional cases, the interpolation is carried out first on x and then y. For more information, see Algorithms. The matrix to be interpolated must be four-dimensional, the first two dimensions corresponding to the matrix at each value of x and y.

Efficient structure frequency response topological optimization method

InactiveCN107315872AFrequency Response Topology Optimization Method for Efficient StructuresGuaranteed smoothnessDesign optimisation/simulationSpecial data processing applicationsDynamic modelsElement analysis
The invention belongs to the technical field related to structure topological optimization design, and discloses an efficient structure frequency response topological optimization method. The method comprises the following steps that: (1) decoupling two coupling variables including time and space in a standard level set function in a dynamic model of which the structure is to be optimized, and meanwhile, expressing the level set function related to time as a matrix product form; (2) converting a partial differential equation of the time-related level set function into an ordinary differential equation so as to obtain a new linear system, and solving to obtain the time-related level set function; (3) carrying out finite element analysis on a macrostructure so as to calculate a target function and a constraint function of a structure optimization problem; and (4) calculating the sensitivity, which relates to a design variable of the target function and the constraint function obtained in the (3), and judging whether the target function is convergent or not after the design variable is updated. By use of the method, a discrete wavelet transform technology is adopted to carry out recompression on an interpolation matrix, efficiency is improved, and cost is lowered.
Owner:HUAZHONG UNIV OF SCI & TECH

Interpolation transformation and beam forming-based far-field coherent signal DOA estimation method

The invention relates to an interpolation transformation and beam forming-based far-field coherent signal DOA estimation method. According to the method, firstly, an interpolation matrix is adopted to convert a non-uniform linear array covariance matrix into a covariance matrix of a virtual uniform linear array. Data on the covariance matrix of the virtual array are subjected to noise pre-whitening to obtain img file = 'DDA 00013602494400000000000011.T'wi = '67 'he = '71 '. After that, img file = 'DDA 00013602494400000000000011.T'wi = '43 'he = '70 ' is subjected to spatial smoothing treatment to resolve the phase coherence, so that a coherence-resolved data covariance matrix is obtained. The coherence-resolved data covariance matrix is processed through constructing a cost function, and then the estimated value of the DOA of a far-field coherent signal is obtained. According to the invention, on the premise that the precision is guaranteed, the operations of feature decomposition, frequency spectrum searching and the like which are complicated in operation, can be avoided. The method is low in calculation complexity, simple and effective. Meanwhile, based on the method, the application range is popularized from a uniform linear array to any linear array, and from a non-coherent signal source to a coherent signal source. Therefore, the method is wider in application range.
Owner:XI AN JIAOTONG UNIV

Channel estimation method based on cell reference signal in LTE-A system

The invention relates to a channel estimation method based on a cell reference signal in an LTE-A system, and belongs to the technical field of the mobile communication. The method specifically comprises the following steps: S1, performing pilot frequency extraction on all receiving signals according to a cell reference signal mapping rule to obtain the receiving signal at a CRS, and finishing theLS estimation by using the receiving signal and the local pilot frequency signal; S2, performing interpolation through an obtained pilot frequency channel estimation value to increase the virtual pilot frequency, thereby doubling the pilot frequency; S3, estimating a channel delay parameter and a signal-to-noise ratio by using the channel estimation value at the pilot frequency subcarrier; S4, selecting a corresponding interpolation matrix W from an LMMSE frequency domain interpolation matrix storage unit according to an estimation result; S5, reading a W matrix from the frequency domain interpolation, and estimating an OFDM symbol channel estimation value containing the pilot frequency according to the formula as shown in description by using a frequency domain sliding window; and S6, performing time domain linear interpolation to obtain the channel response estimation value of all sub-carriers. Therefore, the good compromise between the algorithm performance and the complexity is realized.
Owner:CHONGQING UNIV OF POSTS & TELECOMM

Space arc interpolation welding method based on teaching robot

The invention provides a space arc interpolation welding method based on a teaching robot. The space circular interpolation welding method includes the steps that coordinate values of any three points on an any space arc on a workpiece are preset; the circle center and the radius of a space circle corresponding to a space arc coordinate system and the space arc are determined according to the coordinate values of the three points; an attitude matrix of the robot under a workpiece coordinate system is obtained through calculation of the rolling angle, the pitch angle and the deflection angle of the robot at a teaching starting point under the workpiece coordinate system; the attitude matrix is converted into an initial matrix under the space arc coordinate system; a rotating matrix of the initial matrix around the Z axis of the space arc coordinate system is determined according to the circle center angle of the space circle corresponding to the space arc; a target matrix of a robot interpolation arc is determined according to the initial matrix and the rotating matrix; the target matrix is converted into an interpolation matrix under the workpiece coordinate system; and the robot conducts arc interpolation according to the interpolation matrix so as to weld the space arc. The operation method is simple, the machining precision is controllable, and the machining efficiency is high.
Owner:KEDE NUMERICAL CONTROL CO LTD

Upper and lower airfoil deformation superposition method

The invention provides an upper and lower airfoil deformation superposition method. The method comprises the following steps: determining and obtaining flexibility matrixes in the centers of aerodynamic grid units of upper and lower airfoils; with a flexibility method, decomposing airfoil structure deformation into superposition of deformations generated under the single action of aerodynamic loads of the upper airfoil and the lower airfoil, and obtaining airfoil structure deformation amounts under the single action of the aerodynamic loads of the upper airfoil and the lower airfoil; according to initial static grid coordinates of the airfoils, obtaining deformation interpolation matrixes between the upper airfoil and the lower airfoil with a surface spline method, wherein the deformation interpolation matrixes between the upper airfoil and the lower airfoil include a deformation interpolation matrix [TUL] from the grid center of the upper airfoil to the grid center of the lower airfoil, an interpolation matrix [TLL] from the grid center of the lower airfoil to grid points of the lower airfoil, and an interpolation matrix [TLU] from the grid center of the lower airfoil to grid points of the upper airfoil; and according to the airfoil structure deformation amounts under the single action of the aerodynamic loads of the upper airfoil and the lower airfoil, and the deformation interpolation matrixes of the upper airfoil and the lower airfoil, determining upper and lower airfoil deformation superposition. According to the method, flexibility method based static aeroelastic CFD/CSD coupling calculation is suitable for any airfoil grid distribution situation.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Far-field coherent signal direction-of-arrival estimation method based on sub-space and interpolation transformation

The invention discloses a far-field coherent signal direction-of-arrival estimation method based on sub-space and interpolation transformation. The method specifically includes: calculating correlation vectors on all sub-intervals; calculating optimal interpolation matrices; carrying out solving on correlation vectors of a virtual matrix by the interpolation matrices and the correlation vectors ofa real array; then constructing correlation matrices of the real array and the virtual array; then constructing a linear operator and an orthogonal projection operator; and finally, calculating polynomial roots, and obtaining a far-field coherent signal direction-of-arrival estimation by solving. The linear array sub-space is constructed, solving is carried out on the correlation vectors, and feature decomposition operation of computation complexity in a traditional sub-space algorithm is avoided on the premise of ensuring accuracy; interpolation is carried out on non-uniform arrays to form uniform arrays, then a root seeking algorithm is used to estimate a direction-of-arrival angle, and frequency spectrum searching of computation complexity is avoided; and in addition, the method generalizes an application range from uniform linear arrays to arbitrary linear arrays, and is effective even when the number of sensors is larger or a real-time estimation is needed.
Owner:XI AN JIAOTONG UNIV

Interpolation matrix construction method and device of integrated circuit electromagnetic simulation multi-grid method

The invention discloses an interpolation matrix construction method and device of an integrated circuit electromagnetic simulation multi-grid method. The interpolation matrix construction method comprises the steps that: posterior error estimation is conducted on an electromagnetic field, calculated based on coarse grids, of a multi-scale structure layout in multi-layer super-large-scale integrated circuit electromagnetic simulation, new nodes are interpolated into an integrated circuit coarse grid area with errors exceeding a set value, so that fine grids are obtained, and therefore, self-adaptive finite element subdivision grids are formed; the new nodes are divided into boundary new nodes and internal new nodes, and interpolation relationships of the boundary new nodes and the internalnew nodes of the fine grids, and to-be-solved field quantities of the coarse grid nodes; and the interpolation relationship corresponding to the boundary new nodes and the interpolation relationship corresponding to the internal new nodes are combined into an interpolation relationship between the coarse grids and the fine grids, and an overall interpolation matrix between the coarse grids and thefine grids applied to the multi-grid method is obtained. According to the interpolation matrix construction method and device of the invention, the convergence rate of large-scale sparse matrix iterative solution in multi-layer super-large-scale integrated circuit electromagnetic simulation can be greatly improved, and then the solution efficiency is improved.
Owner:北京智芯仿真科技有限公司

Spatial arc interpolation welding method based on teaching robot

The invention provides a space arc interpolation welding method based on a teaching robot. The space circular interpolation welding method includes the steps that coordinate values of any three points on an any space arc on a workpiece are preset; the circle center and the radius of a space circle corresponding to a space arc coordinate system and the space arc are determined according to the coordinate values of the three points; an attitude matrix of the robot under a workpiece coordinate system is obtained through calculation of the rolling angle, the pitch angle and the deflection angle of the robot at a teaching starting point under the workpiece coordinate system; the attitude matrix is converted into an initial matrix under the space arc coordinate system; a rotating matrix of the initial matrix around the Z axis of the space arc coordinate system is determined according to the circle center angle of the space circle corresponding to the space arc; a target matrix of a robot interpolation arc is determined according to the initial matrix and the rotating matrix; the target matrix is converted into an interpolation matrix under the workpiece coordinate system; and the robot conducts arc interpolation according to the interpolation matrix so as to weld the space arc. The operation method is simple, the machining precision is controllable, and the machining efficiency is high.
Owner:KEDE NUMERICAL CONTROL CO LTD

Video frame interpolation processing method

InactiveCN109640117AAchieve fluencyImprove frame insertion efficiencySelective content distributionDigital videoCoefficient matrix
The embodiment of the invention discloses a video frame interpolation processing method. Frame interpolation processing is carried out on a video through utilization of Lagrange interpolation method.The method comprises the steps of reading a digital video; obtaining video information such as duration, a rate and the total frame number; determining an order of the Lagrange interpolation method; establishing a vandermonde matrix; carrying out matrix operation according to the matrix, thereby obtaining a coefficient matrix of Lagrange polynomials; determining locations of interpolated intervalsin an interpolation frame according to the total frame number of the video; setting the number of frames interpolated between two adjacent frames, and interpolating new frames between the two adjacent frames; confirming serial numbers of the interpolated frames in a new video; obtaining the vandermonde matrix with the same number of terms as that of the interpolation frame according to the serialnumbers; establishing an interpolation matrix; obtaining images of the new frames according to the interpolation matrix; and establishing frame interpolation transformation for frame interpolation, until all frame interpolation is finished. The video is relatively continuous and vivid, slow-motion replay is relatively obvious and fine, and restoration of the video for scientific research and public security case solution is facilitated.
Owner:呈像科技(北京)有限公司

Interpolation matrix construction method and device for integrated circuit electromagnetic simulation multigrid method

This application discloses an interpolation matrix construction method and device of the multi-grid method for electromagnetic simulation of integrated circuits. The method includes performing a posteriori error estimation on the electromagnetic field calculated based on the coarse grid for the multi-scale structural layout in multi-layer VLSI electromagnetic simulation. , and insert new nodes into the coarse grid area of ​​the integrated circuit where the error exceeds the set value to obtain a fine grid, forming an adaptive finite element subdivision grid; divide the new node into a boundary new node and an internal new node, and respectively establish a fine grid The interpolation relationship between the boundary new node, the internal new node and the coarse grid node to be solved; the interpolation relationship corresponding to the boundary new node and the internal new node are merged into the interpolation relationship between the coarse-fine grid , to obtain the overall interpolation matrix between coarse and fine grids applied to the multigrid method. The application can greatly improve the convergence speed of large-scale sparse matrix iterative solution in multi-layer VLSI electromagnetic simulation, thereby improving the solution efficiency.
Owner:北京智芯仿真科技有限公司

A superposition method of upper and lower airfoil deformation

The invention provides an upper and lower airfoil deformation superposition method. The method comprises the following steps: determining and obtaining flexibility matrixes in the centers of aerodynamic grid units of upper and lower airfoils; with a flexibility method, decomposing airfoil structure deformation into superposition of deformations generated under the single action of aerodynamic loads of the upper airfoil and the lower airfoil, and obtaining airfoil structure deformation amounts under the single action of the aerodynamic loads of the upper airfoil and the lower airfoil; according to initial static grid coordinates of the airfoils, obtaining deformation interpolation matrixes between the upper airfoil and the lower airfoil with a surface spline method, wherein the deformation interpolation matrixes between the upper airfoil and the lower airfoil include a deformation interpolation matrix [TUL] from the grid center of the upper airfoil to the grid center of the lower airfoil, an interpolation matrix [TLL] from the grid center of the lower airfoil to grid points of the lower airfoil, and an interpolation matrix [TLU] from the grid center of the lower airfoil to grid points of the upper airfoil; and according to the airfoil structure deformation amounts under the single action of the aerodynamic loads of the upper airfoil and the lower airfoil, and the deformation interpolation matrixes of the upper airfoil and the lower airfoil, determining upper and lower airfoil deformation superposition. According to the method, flexibility method based static aeroelastic CFD / CSD coupling calculation is suitable for any airfoil grid distribution situation.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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