Unlock instant, AI-driven research and patent intelligence for your innovation.

Odorless algorithm for non-analytic complex nonlinear system

A nonlinear system and algorithm technology, applied in the field of tasteless algorithm, can solve the problem of less complex signal research and achieve good accuracy

Pending Publication Date: 2021-09-17
SOUTHEAST UNIV
View PDF0 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] However, the traditional tasteless algorithm is mainly aimed at real signals, and there are still few studies on complex signals, especially the research on non-analytic mapping functions is blank.

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Odorless algorithm for non-analytic complex nonlinear system
  • Odorless algorithm for non-analytic complex nonlinear system
  • Odorless algorithm for non-analytic complex nonlinear system

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0048] This embodiment provides a tasteless algorithm for non-analytic complex nonlinear systems, including the following steps:

[0049] Step 101, forming the complex signal and its conjugate signal into an augmented form x =[x T , x H ] T

[0050] Step 102, calculate the second order statistics, the covariance is:

[0051]

[0052] The pseudocovariance is:

[0053]

[0054] Both the augmented covariance matrix and the augmented pseudo-covariance include the covariance R of the original x x and pseudo-covariance P x information.

[0055] Step 103, calculate the sigma point:

[0056]

[0057]

[0058]

[0059]

[0060] Can be abbreviated as:

[0061]

[0062] where σ i Indicates the i-th column mean square root of the augmented covariance or augmented pseudocovariance.

[0063] Among them, the non-analytic complex number system, its system function is related to x and its conjugate, for the non-analytic complex number nonlinear system, its Taylo...

Embodiment 2

[0112] see Figure 1-Figure 4 , this embodiment also provides a tasteless algorithm for non-analytic complex nonlinear systems. The algorithm provided by this embodiment can be used but not limited to the analysis of the mean and second-order statistics after complex nonlinear analytical transformation, and is also suitable for Transformation of real numbers and analytic functions. For non-analytic functions, this embodiment uses f=|x| 2 =xx * As an example, the influence of the input non-circularity on the system error is analyzed, and the calculation accuracy of the algorithm after optimizing the parameters is shown. For the analytic function, for the convenience of comparison, this example uses complex numbers to undergo analytic transformation f=x 2 As an example, the superiority of the algorithm of the present invention is demonstrated through error results.

[0113] Such as Figure 4 Shown, algorithm described in the present invention comprises the following steps: ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention discloses an odorless algorithm for a non-analytic nonlinear complex system, which comprises the following steps of: calculating second-order statistics of an input signal in an augmentation form, namely augmentation variance and covariance, inputting the second-order statistics into the system, and calculating a sigma point. The odorless algorithm can obtain first-order and second-order statistics of corresponding output points of a nonlinear system through calculation of a small number of sigma feature points; and by researching the relationship between the error and the non-roundness, the beta parameter is adjusted, and the algorithm error is reduced. According to the invention, the approximate second-order statistics of the output signal can be obtained by calculating the statistical characteristics of a small number of sigma points aiming at the conditions that the input signal is a complex signal and the system function is nonlinear and non-analytic, and when the signal is non-circular, the system error is reduced by researching the relationship between the beta parameter and the non-circular degree.

Description

technical field [0001] The invention relates to the technical field of complex signal processing, in particular to a tasteless algorithm for non-analytic complex nonlinear systems. Background technique [0002] Unscented Transform (UT) is an algorithm that deals with nonlinear transfer of mean and covariance. By determining the finite sigma point, the probability and statistical properties of random quantities are approximated with finite parameters. A large number of calculations and data storage can be avoided. It is often combined with the Kalman filter algorithm to be used in practical scenarios such as automatic control, navigation, tracking, artificial intelligence, and fault estimation to perform state estimation under nonlinear system functions. [0003] However, the traditional tasteless algorithm is mainly aimed at real signals, and there are still few studies on complex signals, especially the research on non-analytic mapping functions is blank. Contents of th...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
IPC IPC(8): G06F17/18G06F17/16
CPCG06F17/18G06F17/16
Inventor 夏亦犁石琬婷裴文江
Owner SOUTHEAST UNIV
Features
  • R&D
  • Intellectual Property
  • Life Sciences
  • Materials
  • Tech Scout
Why Patsnap Eureka
  • Unparalleled Data Quality
  • Higher Quality Content
  • 60% Fewer Hallucinations
Social media
Patsnap Eureka Blog
Learn More

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2025 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com