Sample-Based State Estimation With Anti-Aliasing Uncertainty Dilation

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Solution Overview

Problem

State estimation modules in robotics and autonomous vehicles often suffer from aliasing due to large sampling intervals, leading to inaccurate localization and pose estimations.

Innovation Solution

A sample-based estimator is executed on sensor data to optimize probability distribution dilation using a minimum measurement uncertainty value calculated based on the Nyquist-Shannon sampling theorem, thereby minimizing aliasing.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If the sampling interval of the state estimation module is increased, then the computational complexity is reduced, but aliasing occurs leading to inaccurate localization and pose estimations

Engineering Contradiction:
Improvecomputational complexityVSAvoidlocalization accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent applies parameter changes by dynamically adjusting the measurement uncertainty parameter based on the sampling interval. By calculating a minimum measurement uncertainty value using the Nyquist-Shannon sampling theorem and applying it to dilate the probability distribution, the system maintains accurate localization estimates even with larger sampling intervals, thus reducing computational complexity without sacrificing measurement precision

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent implements preliminary action by pre-calculating the minimum measurement uncertainty value before executing the sample-based estimator. This pre-computed uncertainty value is then used to optimize the probability distribution dilation, allowing the system to avoid aliasing artifacts before they occur during the main estimation process, thereby maintaining accuracy with reduced computational load

Inventive Principle:
Principle #10Preliminary action

2Productivity

If the sampling interval is increased to reduce computational load, then processing speed improves, but aliasing artifacts corrupt the state estimates

Engineering Contradiction:
Improveprocessing speedVSAvoidstate estimation reliability
Core Design Contradiction:
ProductivityVSReliability

Solution Approach 1:

The system changes the measurement uncertainty parameter dynamically based on the sampling interval configuration. By using the Nyquist-Shannon sampling theorem to calculate a minimum uncertainty value and applying it to dilate probability distributions, the system maintains reliable state estimates even when processing speed is increased through larger sampling intervals

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent implements feedback by using the calculated minimum measurement uncertainty value to adjust the probability distribution dilation in the sample-based estimator. This feedback mechanism ensures that the estimation process compensates for the larger sampling interval, maintaining reliability while allowing faster processing

Inventive Principle:
Principle #23Feedback

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach effectively minimizes aliasing in sample-based estimators, enhancing the accuracy of localization and pose estimations in robotics and autonomous vehicles without increasing computational resources.

Implementation Method 1

the minimum measurement uncertainty value is determined based on an application of the Nyquist-Shannon sampling theorem to the sample-based estimator

Methodology Applied
Scientific EffectNyquist-Shannon sampling theorem:

Data Source

PatentUS12275420B2System and method for minimizing aliasing in sample-based estimators
Publication Date: 2025.04.15 MERCEDES BENZ GROUP AG
  • US12275420B2 patent drawing
  • US12275420B2 patent drawing
  • US12275420B2 patent drawing

AI summary

A system can perform a method that includes receiving sensor data from one or more sensors. The system can execute a sample-based estimator on the sensor data. The sample-based estimator optimizes a probability distribution dilation of the sensor data based on a minimum measurement uncertainty value to minimize aliasing in the sample-based estimator.