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165 results about "Condition number" patented technology

In the field of numerical analysis, the condition number of a function measures how much the output value of the function can change for a small change in the input argument. This is used to measure how sensitive a function is to changes or errors in the input, and how much error in the output results from an error in the input. Very frequently, one is solving the inverse problem: given f(x)=y, one is solving for x, and thus the condition number of the (local) inverse must be used.

System and method of phase encoding for high fidelity vibratory seismic data

In accordance with the present invention, there is provided a method of determining whether a particular high fidelity vibratory seismic survey phase encoding is likely to be a good one based on an analysis of the eigenvalue structure (i.e., eigenvalues, eigenvalue separation, condition number, and model resolution matrix) of a matrix formed from the Fourier transforms of the sweep signals. Preferably, a singular value decomposition will be used to calculate the eigenvalues. Using this same approach, the condition number and eigenvalues of matrices that are associated with multiple proposed designs can be compared with each other to determine which is likely to be yield the best seismic data. This approach is preferably used either as a component of the advanced planning for a survey or in the field during pre-survey testing. The use of the instant approach to determine an optimal phase encoding scheme is also taught.
Owner:CONOCOPHILLIPS CO

Obstacle avoidance path planning method of obstacle avoidance task unrelated artificial potential field guide

The embodiment of the invention provides an obstacle avoidance path planning method of obstacle avoidance task unrelated artificial potential field guide. The obstacle avoidance path planning method comprises the steps of using the energy consumption, end speed and frictional wear of a manipulator as optimization objectives according to the use cost of the space manipulator, and providing a minimum singular value index to which a speed limit is introduced on the basis; providing a gradient potential field offline construction method considering the operating cost of the manipulator according to the minimum singular value of a jacoby matrix to which the speed limit is introduced and the operability, condition number and joint limits of the manipulator; and expanding by using constructed random trees in a gradient potential field guided RRT algorithm, and planning to obtain an obstacle-free operating path of the space manipulator. According to the obstacle avoidance path planning method provided by the embodiment of the invention, when an obstacle avoidance path planning task of the redundant space manipulator is executed, the efficiency of an obstacle avoidance planning algorithm can be improved, and the use cost of the manipulator can be reduced.
Owner:BEIJING UNIV OF POSTS & TELECOMM

Movement flexibility comprehensive evaluation and optimization method of redundant robot

The invention discloses a tow placement robot with a redundant joint. The spinor theory is used for establishing the kinematic jacobian matrix of the robot; for comprehensively evaluating the flexibility index of the robot, three indexes of the condition number, the manipulability and the minimum singular value are modelled as three target functions after being changed, and the target functions are optimized through the adoption of an improved multi-target genetic algorithm and the introduction of Pareto efficiency; performing the data analysis on the optimized Pareto first front-end optimal solution set, describing the relation among the indexes using related coefficients, when finding the performance optimization on the tow placement robot, necessarily considering the mutual relation of the indexes, and finally acquiring the tow placement robot working space region with the optimal comprehensive performance. The simulation result proves that the operation of performing the genetic algorithm optimization and application of the multi-target using the Pareto efficiency is reliable and efficient, and lays the foundation for the next step test research of the tow placement robot; and meanwhile, the operation provides good reference value for the movement flexibility performance analysis and optimization of other serial robots.
Owner:JINLING INST OF TECH

Rotating strapdown system on-site proving method based on digital high-passing filtering

The invention provides a rotating strapdown system on-site proving method based on digital high-passing filtering, which comprises the steps: (1) determining an initial position parameter of a carrier by a GPS; (2) collecting data output by an optical fiber gyroscope and an acceleration meter, and processing the data; (3) rotating and stopping at four positions of a single axis of an inertia measurement unit; (4) analyzing biased observability degree of an inertia device by using a spectral condition number method; (5) filtering the Schuler period contained in velocity information of a navigation system by adopting an IIR high-passing digital filter; and (6) taking filtered velocity information as observed quantity, and estimating the deviation of the inertia device by adopting a Kalman filtering technique. When the carrier is in anchoring state, the adoption of the method can obtain higher on-site proving precision.
Owner:HARBIN ENG UNIV

Parallel mechanism based automated fiber placement system

The present invention introduces a new concept of applying a parallel mechanism in automated fiber placement for aerospace part manufacturing. The proposed system requirements are 4DOF parallel mechanism consisting of two RPS and two UPS limbs with two rotational and two translational motions. Both inverse and forward kinematics models are obtained and solved analytically. Based on the overall Jacobian matrix in screw theory, singularity loci are presented and the singularity-free workspace is correspondingly illustrated. To maximize the singularity-free workspace, locations of the two UPS limbs with the platform and base sizes are used in the optimization which gives a new design of a 4DOF parallel mechanism. A dimensionless Jacobian matrix is also defined and its condition number is used for optimizing the kinematics performance in the optimization process. A numerical example is presented with physical constraint considerations of a test bed design for automated fiber placement.
Owner:KHALIFA UNIV OF SCI & TECH +1

Antenna mode switching device and method for multi-antenna system

The invention provides an antenna mode switching method of a multiaerial system, which is applied to the multiaerial system supporting space multiplexing and beam forming antenna mode. The antenna mode switching method comprises the following steps: A: a channel matrix H is estimated at a receiving terminal, B: if the specific value ki of the maximum singular value Lambda max (H) of the channel matrix H and other singular values Lambda i (H) except the maximum singular value is equal to the minimum value min (ki) of Lambda max (H) / Lambda i (H), which is less than or equal to the lower limit threshold value kSM of the set standard channel condition number, so the antenna mode is switched to the space multiplexing mode; C: if the min (ki) is more than or equal to the upper limit threshold value kBF of the set standard channel condition number, the antenna mode is switched to the beam forming mode, wherein the ki is unequal to 1, i is equal to 1, 2, and the like, N-1, and N is the minimum value of sending the antenna number and receiving the antenna number. The invention discriminates the antenna switching mode through adopting two-stage judgement mode, thereby quickening the choosing and switching speed of the antenna mode, and improving the choosing and the switching accuracy of the antenna mode.
Owner:南通亘通智能设备有限公司

Affair decision-making library establishment method and corresponding affair decision-making method and system

The invention relates to a decision making technique for the events, in order to solve the problem of decision-making simply and rapidly under the condition of a large amount of knowledge. The invention, for each event, can group each condition and become one group for the condition with identical prior probability and identical ' and , or ' relation to form one condition group, the corresponding relation table can be established according to the mapping relation between events, conditions and condition group, then the knowledge base for decision making is established based on the information in the relation table. A decision making application system for the events, which includes a server providing with the knowledge base and a computer connected with the server, can be established based on the knowledge base; the computer may receive one or more conditions inputted by user, the server, for every condition received, can carry out special ergodic process in the knowledge base, and look up out all condition groups with the condition, and the relative decision probability for one or more events can be figured out based on the information such as maximum probability or value of condition group, the satisfied condition number.
Owner:CLINIXOFT MEDICINAL SOFTWARE SHENZHEN

Processing for Multi-Channel Signals

Method and apparatus for improved processing for multi-channel signals. In an exemplary embodiment, an anomaly metric is computed for a multi-channel signal over a time window. The magnitude of the anomaly metric may be used to determine whether an anomaly is present in the multi-channel signal over the time window. In an exemplary embodiment, the anomaly metric may be a condition number associated with the singular values of the multi-channel signal over the time window, as further adjusted by the number of channels to produce a data condition number. Applications of the anomaly metric computation include the scrubbing of signal archives for epileptic seizure detection / prediction / counter-prediction algorithm training, pre-processing of multi-channel signals for real-time monitoring of bio-systems, and boot-up and / or adaptive self-checking of such systems during normal operation.
Owner:CYBERONICS INC

Trajectory optimization method of singular region by virtue of five-axis machining

ActiveCN102528554AReduce speed mutationReduce excessive non-linear errorsAutomatic control devicesFeeding apparatusEngineeringAlternating current
The invention relates to a processing method of a singular region by virtue of five-axis machining. The method comprises the following steps: establishing a kinematics conversion relationship of an AC (alternating current) dual-rotary-table five-axis machine tool, carrying out primary optimization treatment on a C-axle rotation angle while inverse kinematics changes so as to obtain cutter shaft data, and traversing the cutter shaft data; in the traversing process of the cutter shaft data, detecting the boundary range of the singular region by using a method based on a Jacobian matrix condition number; carrying out secondary optimization treatment on a singular point and a C angle nearby the singular point within the boundary range of the singular region to obtain new cutter shaft data; and carrying out recursion interpolation treatment on a subinterval with still larger C angle change between the two adjacent lines in the new cutter shaft data to obtain the final cutter shaft data. By adopting the method provided by the invention, velocity jump of a rotation shaft in the singular region can be effectively reduced, overlarge non-linear errors generated by the velocity jump can be reduced, the processing precision can be improved, and the machine tool as well as parts and components can be effectively protected.
Owner:中国科学院沈阳计算技术研究所有限公司

Division-of-amplitude sensing design method and device for polarizing navigation angle

The invention belongs to the fields of navigation, and measurement and control, and relates to a division-of-amplitude angle sensing design method and device for carrying out navigation by using sky scattering light polarization information. The method comprises the following steps: a) detecting an incident light polarization state by adopting a division-of-amplitude multi-channel synchronous detection method; b) achieving light-concentration and directional measurement functions by a small-field telescope; c) analyzing a vibration azimuth angle of a linear polarized electric field vector by a stokes vector and a matrix analysis method; d) carrying out system optimization design on indexes and debugging states of internal elements of a sensing device by taking an instrument matrix condition number as an evaluation factor; and e) accurately calibrating an instrument matrix of the sensing device by a benchmark polarization generator, and calibrating and accurately checking the sensing device. A new technological approach is provided for autonomous navigation by using an optical means; the method and the device can be widely applied to navigation targets of equipments such as vehicles, ships and warships, low-altitude aircrafts and autonomous robots, also can be applied to the fields such as polar research, outdoor adventure and geologic assay.
Owner:BEIJING INSTITUTE OF TECHNOLOGYGY

Compensation method for driving joint zero point errors of five-degree-freedom hybrid robot

The invention discloses a compensation method for driving joint zero point errors of a five-degree-freedom hybrid robot. The compensation method comprises the following steps that (1) a mapping modelbetween robot zero point errors and tail end pose errors is built; (2) the number of configurations is optimized and measured based on condition number indexes; (3) an error identification equation set is constructed; (4) the tail end pose errors of the hybrid robot are measured; (5) the five zero point errors of the robot are identified by adopting a biased estimation method; (6) zero return parameters of a control system are revised to carry out zero point error compensation; (7) the tail end pose errors of the robot under different configurations in working space after zero point error compensation are detected, if the situation that the tail end pose error is greater than an allowable value exists, step (4) to step (7) are repeated until the tail end pose errors of the robot under allmeasurement configurations are all less than the allowable value. The compensation method for the driving joint zero point errors of the five-degree-freedom hybrid robot has the advantages that the time of error compensation is short, the efficiency is high, and the method is suitable for robot equipment inspection and precision adjustment of the industrial production site.
Owner:TIANJIN UNIV

Data retransmission method and device for multi antenna system

The data retransmission method of multiple antennae system includes following steps: (1) receiving end checks the received data to determine whether data are received correctly or not; if not, then informing the sending end to retransmit; (2) sending end carries out linear transformation for data needed to retransmit, and carrying out weighting process for the linear transformed data, then sending the weighted data through multiple antennae. The linear transformation reduces condition number of channel so as to raise quality of data transmission. The invention realizes reliability of data transmission in multiple antennae system.
Owner:HUAWEI TECH CO LTD

Three-dimensional frequency domain controllable source numerical simulation method

The invention provides a three-dimensional frequency domain controllable source numerical simulation method. The method comprises the steps of S100: defining a calculation region in a resistivity anomaly body and an adjacent wrapping layer, and dividing the calculation region into multiple regular unit bodies; S200: calculating an initial electric field under an artificial source excitation condition, and by adopting a weighted residual method, establishing a finite element equation set of edge midpoints of the unit bodies in the calculation region; S300: defining an observation point as a boundary node by using a Green function, and enabling a secondary electric field of an internal node to express a secondary electric field of the boundary node; S400: substituting a Green function expression into a mixed equation set to obtain a first equation set only about the secondary electric field of the internal node; and S500: solving the first equation set to obtain secondary electric fieldvalues of nodes comprised in the unit bodies. According to the method, a vector finite element method and a volume integral equation method are applied; the calculation region is reduced; the calculation amount is reduced; the calculation precision is improved; formed equations are sparse in coefficient matrix and good in condition number; and a calculation result is accurate.
Owner:CENT SOUTH UNIV
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