3 results about "Inverse Laplace transform" patented technology

The invention provides a Laplace-DLTS stabilization inversion method and system, and the method comprises the steps: applying a pulse bias voltage to a tested semiconductor device, and collecting a transient capacitance signal of the tested semiconductor device; the transient capacitance signal is preprocessed; performing inverse Laplacian transformation processing on the preprocessed transient capacitance signal, and introducing at least one of non-negative constraint, sparsity constraint, physical prior constraint and time window segmentation constraint in an inversion process; carrying out optimization processing on the obtained inversion result, and judging the stability of the inversion result; and extracting a deep energy level trap parameter based on the inversion result, and outputting the deep energy level trap parameter and the processed transient spectrum data. At least one, preferably at least two, constraint conditions are introduced in the inverse Laplacian inversion process, so that the influence of noise and abnormal peaks on the inversion result is effectively inhibited, and the stability, physical consistency and parameter extraction reliability of the inversion are improved.

This method uses magnetic resonance (MR) data to estimate a diffusion tensor distribution (DTD). The method includes inverting a Fredholm integral of the first kind, specifically performing an nD Inverse Laplace Transform subject to several constraints. First, a positive definiteness constraint is used, which zeros out a subset of diffusion tensor components that do not lie on a manifold of symmetric positive definite matrices. Second, marginal distribution constraints are used, which further partition the manifold of symmetric positive definite matrices into even smaller domains to improve DTD estimates in each MR voxel.

The invention relates to the technical field of process safety operation, in particular to a process continuous operation method and system, electronic equipment, a storage medium and a program product, and the method comprises the steps: constructing a time domain model according to a dynamic mechanism of a process system; converting the time domain model into a complex frequency domain model through Laplace transformation; solving a complex frequency domain optimal continuous operation variable based on the complex frequency domain model, and converting the complex frequency domain optimal continuous operation variable into a time domain optimal continuous operation variable through inverse Laplace transformation; and performing continuous operation based on the time domain optimal continuous operation variable. According to the process continuous operation method, an analytical method based on a complex frequency domain is provided, continuous working condition switching of a complex chemical system is achieved, compared with a subsection control strategy, the continuous control strategy can describe the real situation as much as possible, feature details of operation variables are clearly presented, higher information density is achieved, and the method is suitable for large-scale popularization and application. And therefore, the safety and the stability of the production process can be improved.