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44 results about "Matrix addition" patented technology

In mathematics, matrix addition is the operation of adding two matrices by adding the corresponding entries together. However, there are other operations which could also be considered as a kind of addition for matrices, the direct sum and the Kronecker sum.

Matrix addition system for mass spectrum analysis

The invention discloses a matrix addition system for mass spectrum analysis, comprising a heating bath, a thermal saturated pipe, a condenser pipe and a peripheral control module, wherein the heating bath is used for containing a matrix solution; a first heating band is fixed outside the heating bath; the thermal saturated pipe is connected with the heating bath; a second heating band is fixed outside the thermal saturated pipe and used for providing appropriate temperature for a mixed gas of aerosol particles and a matrix so that the aerosol particles and the matrix are better bonded together; the condenser pipe is connected with the thermal saturated pipe; a refrigeration sheet is fixed outside the condenser pipe and used for condensing a gas exhausted from the thermal saturated pipe to enable the vaporous matrix, which is not attached to the aerosol particles, to be liquefied and reflow to the heating bath so as to obtain the aerosol particles attached with the matrix on an outlet of the condenser pipe; and the peripheral control module is respectively connected with the first heating band, the second heating band and the refrigeration sheet and used for regulating and displaying the set temperature and the current temperature of the heating bath, the thermal saturated pipe and the condenser pipe.
Owner:北京汇丰隆经济技术开发有限公司

Large-scale MIMO low-complexity channel estimation method based on weighted Kapetyn grade number expansion

The invention discloses a large-scale MIMO low-complexity channel estimation method based on weighted Kapetyn grade number expansion. Firstly a Kapetyn grade number expansion method is utilized for performing approximate expansion on a channel covariance inverse matrix in a Bayesian-MMSE channel estimation expression. A matrix inversion operation is converted to matrix multiplication and matrix addition operations. Then a weighting manner is performed on each coefficient of a polynomial for optimizing polynomial expansion, establishing a model for solving weighting coefficient vectors alpha and beta for minimizing an estimated mean square error, and estimating the channel matrix by means of solving results of alpha and beta. Experiment results represent a fact that an MSE which is obtained through the channel estimation method based on a weighted Kapetyn grade number expansion is convergent to an MMSE method along with order number increase of the polynomial, and furthermore calculation complexity of the channel estimation method is lower than that of the MMSE method. Compared with a traditional Taylor-MMSE and Kapetyn grade number expansion channel estimation method, the channel estimation method based on the weighted Kapetyn grade number has higher convergence speed to the MMSE method.
Owner:SOUTHEAST UNIV

Time Domain Full Waveform Inversion Method Based on Amplitude Incremental Coding

InactiveCN111239806BReduce the effect of gradientsDoes not significantly increase computation timeSeismic signal processingTime domainMatrix addition
The present invention proposes a time-domain full-waveform inversion method based on amplitude incremental coding. By performing amplitude incremental coding on each sampling point of the simulated data and observation data and adding the amplitude polarity as a constraint, the same Data with different amplitude increments at time points; after encoding, construct a zero-setting matrix, multiply the matrix by the simulated data to set the data that causes cycle jumps to zero, thereby reducing the influence of this part of the data on the gradient; a part of the data After zeroing, the amplitude information of the original data is destroyed; in order to reduce the dependence of the inversion on the amplitude information and highlight the role of the phase information, a global cross-correlation objective function is used. The difference between this method and the traditional method lies in the encoding calculation and zeroing calculation of the simulated data and observation data, while the encoding calculation is simply matrix addition, subtraction, multiplication and division, which will not significantly increase the calculation time of the full waveform inversion. Comparing with the traditional full waveform inversion, the calculation efficiency is not reduced.
Owner:JILIN UNIV

Large-scale multi-operation floating point matrix calculation acceleration implementation method and device

The invention discloses a large-scale multi-operation floating point matrix calculation acceleration implementation method, which comprises the following steps: S1, receiving an external input signal and judging a matrix operation mode according to an operation type of a to-be-processed matrix: when the operation mode is matrix addition and matrix subtraction, turning to execute a step S3, and when the operation mode is matrix subtraction, turning to execute a step S4; when the operation mode is matrix multiplication, matrix-vector multiplication and matrix-scalar multiplication, turning to execute the step S2; s2, initializing an on-chip RAM (Random Access Memory) to be zero, and turning to execute a step S4; s3, the data source C is loaded into the on-chip RAM through the RAM channel, and the step S4 is executed; s4, pre-loading a part of the data stream A through an RAM channel, and loading the data stream A and the data stream B while calculating; s5, after calculation is completed, a calculation result is transmitted to the off-chip memory. The device is used for implementing the method. The method has the advantages of low storage requirement, high calculation efficiency, high reusability, wide application range and the like.
Owner:NAT UNIV OF DEFENSE TECH +1

An arbitrary order Kalman filtering system

The invention relates to an arbitrary-order Kalman filtering system, comprising: a configurable memory array comprising a plurality of memory banks, wherein the memory banks are globally shared; a configurable computing array, including single-precision floating-point number multiplier, a single-precision floating-point number adder and a single-precision floating-point number divider; a matrix basic operation module, completing matrix addition, matrix subtraction, matrix transposition and matrix inversion; and the global configurable computing array is shared by time-sharing multiplexing; a state machine, according to the recurrence equation of the Kalman filter algorithm, the matrix basic operation module is called step by step, the intermediate result of the matrix basic operation module is stored in the memory array, and then the intermediate result is called according to the recurrence equation. The invention multiplexes the computing resource array and the storage resource arraythrough time-sharing and folding mode, thereby effectively reducing resources and area, and reducing power consumption. Multi-path parallel method is used to design the basic matrix operation, which can effectively improve the real-time performance and data processing ability of the system design.
Owner:NANJING UNIV

A continuous rolling self-calibration and self-alignment method for an inertial platform under a static base

Belonging to the technical field of inertial navigation, the invention in particular relates to an inertial platform continuous roll self-calibration and self-alignment method under a static base. The method firstly adopts an inertial device input shaft as the reference to establish a systematic coordinate system, then on the basis of an inertial platform working principle, an inertial platform attitude angle is employed as the intermediate quantity to establish a system dynamics model and an observation model, and then a platform matrix addition scheme needed by inertial platform self-calibration and self-alignment is designed through observability analysis, finally the platform attitude angle and various error coefficients of the platform are selected as the state variables of the system, and autonomous calibration and alignment of the inertial platform can be realized through reduced cubature Kalman filter. The method provided by the invention can change the existing calibration and alignment modes of the inertial platform, simplifies the inertial platform self-calibration and self-alignment process, weakens the strong coupling between system calibration and alignment, and provides the basic theory and technical support for improving the inertial platform actual use precision.
Owner:INHALE HYPERSONIC TECH RES CENT UNIT 63820 OF PLA

A large-scale MIMO low-complexity channel estimation method based on weighted kapetyn series expansion

The invention discloses a large-scale MIMO low-complexity channel estimation method based on weighted Kapetyn grade number expansion. Firstly a Kapetyn grade number expansion method is utilized for performing approximate expansion on a channel covariance inverse matrix in a Bayesian-MMSE channel estimation expression. A matrix inversion operation is converted to matrix multiplication and matrix addition operations. Then a weighting manner is performed on each coefficient of a polynomial for optimizing polynomial expansion, establishing a model for solving weighting coefficient vectors alpha and beta for minimizing an estimated mean square error, and estimating the channel matrix by means of solving results of alpha and beta. Experiment results represent a fact that an MSE which is obtained through the channel estimation method based on a weighted Kapetyn grade number expansion is convergent to an MMSE method along with order number increase of the polynomial, and furthermore calculation complexity of the channel estimation method is lower than that of the MMSE method. Compared with a traditional Taylor-MMSE and Kapetyn grade number expansion channel estimation method, the channel estimation method based on the weighted Kapetyn grade number has higher convergence speed to the MMSE method.
Owner:SOUTHEAST UNIV

SLAM (Simultaneous Localization and Mapping) back-end optimization-oriented Schur elimination accelerator

A SLAM rear-end optimization-oriented Schur elimination accelerator comprises an algorithm control module used for completing maintenance of a control signal; a prefetching control module used for completing prefetching operation of input projection error data and Jacobian matrix data; a data cache access control module used for completing address generation and read-write requests of data cache, including address maintenance of different matrix data and advanced initiation of read requests; an operation module used for completing matrix multiplication, matrix inversion, matrix addition and subtraction and matrix and constant multiplication; a data rearrangement and control unit used for completing data recombination; an input and output caching unit used for completing advanced caching of prefetch input and data caching during output; and a data caching unit used for completing caching of intermediate data in the operation process. According to the accelerator, hardware acceleration is carried out on the Schur elimination process by proposing an FPGA accelerator scheme, so that a traditional embedded platform can execute the BA optimization process with higher performance.
Owner:ZHEJIANG UNIV
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