623 results about "Analytic expression" patented technology

Estimates of spectral magnitude and phase are obtained by an estimation process using spectral information from analysis filter banks such as the Modified Discrete Cosine Transform. The estimation process may be implemented by convolution-like operations with impulse responses. Portions of the impulse responses may be selected for use in the convolution-like operations to trade off between computational complexity and estimation accuracy. Mathematical derivations of analytical expressions for filter structures and impulse responses are disclosed.

A method for enabling intelligence at the edge. Features include: triggering by sensor data in a software layer hosted on either a gateway device or an embedded system. Software layer is connected to a local-area network. A repository of services, applications, and data processing engines is made accessible by the software layer. Matching the sensor data with semantic descriptions of occurrence of specific conditions through an expression language made available by the software layer. Automatic discovery of pattern events by continuously executing expressions. Intelligently composing services and applications across the gateway device and embedded systems across the network managed by the software layer for chaining applications and analytics expressions. Optimizing the layout of the applications and analytics based on resource availability. Monitoring the health of the software layer. Storing of raw sensor data or results of expressions in a local time-series database or cloud storage. Services and components can be containerized to ensure smooth running in any gateway environment.

A method is described for generating an impedance image of the chest, in which electrical data of the chest is acquired, and a finite volume method is used to calculate an impedance image from the electrical data, using an analytical expression for the Jacobian.

The invention provides a method for actually compensating for geometrical errors of a five-axis numerical control tooth manufacturing machine tool through the inverse kinematics. The method includes the steps of building a space geometrical error model containing position unrelated errors and position related errors on the basis of a homogeneous coordinate transformational matrix, and deducing a processing code analytical expression containing the geometrical errors from the space geometrical error model according to the characteristics of the homogeneous coordinate transformational matrix. Theoretical cutter location data is modified by 12 pose deviations (6 static pose deviations and 6 movement pose deviations) of a cutter relative to a workpiece. The geometrical errors of the machine tool can be compensated for by substituting the position unrelated errors, the position related errors and the modified cutter location data into the processing code analytical expression for compensating for the geometrical errors of the machine tool, and meanwhile the12 pose deviations of the cutter relative to the workpiece are modified. The error compensation method is simple in compensation process, easy to understand, small in calculation amount, high in compensation efficiency and wide in application range, and the basic compensation concept of the method is suitable for numerical control machine tools of various types.