Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation

Knowledge of the propagation of sensor errors in strapdown inertial navigation is crucial for the design of inertial and integrated navigation systems. The propagation of initialization errors and deterministic sensor errors is well covered in the literature. If considered at all, the propagation of...

Full description

Bibliographic Details
Main Authors: Christopher Blum, Johann Dambeck
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/23/6914
_version_ 1797545791397560320
author Christopher Blum
Johann Dambeck
author_facet Christopher Blum
Johann Dambeck
author_sort Christopher Blum
collection DOAJ
description Knowledge of the propagation of sensor errors in strapdown inertial navigation is crucial for the design of inertial and integrated navigation systems. The propagation of initialization errors and deterministic sensor errors is well covered in the literature. If considered at all, the propagation of inertial sensor noise has typically been assessed for un-correlated (white) Gaussian noise. Real inertial sensor noise, however, is time-correlated (colored) and best described by a combination of different stochastic processes. In this paper, we demonstrate how a navigation system’s response to colored noise input differs from the response to bias-like or white noise inputs. We present a method for assessing the navigation error from various inertial sensor noise processes without the need for time-consuming Monte Carlo simulations and demonstrate its application and validity with real sensor data. The proposed method is used to determine in which scenarios the sensor’s real noise can be approximated by simple white Gaussian noise. The results indicate that neglecting colored sensor noise is justified for many applications, but should be checked individually for each sensor configuration and mission.
first_indexed 2024-03-10T14:21:01Z
format Article
id doaj.art-057b3cd1e09142438b4c92a604af298c
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-03-10T14:21:01Z
publishDate 2020-12-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj.art-057b3cd1e09142438b4c92a604af298c2023-11-20T23:22:02ZengMDPI AGSensors1424-82202020-12-012023691410.3390/s20236914Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial NavigationChristopher Blum0Johann Dambeck1Department of Aerospace and Geodesy, Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, GermanyDepartment of Aerospace and Geodesy, Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, GermanyKnowledge of the propagation of sensor errors in strapdown inertial navigation is crucial for the design of inertial and integrated navigation systems. The propagation of initialization errors and deterministic sensor errors is well covered in the literature. If considered at all, the propagation of inertial sensor noise has typically been assessed for un-correlated (white) Gaussian noise. Real inertial sensor noise, however, is time-correlated (colored) and best described by a combination of different stochastic processes. In this paper, we demonstrate how a navigation system’s response to colored noise input differs from the response to bias-like or white noise inputs. We present a method for assessing the navigation error from various inertial sensor noise processes without the need for time-consuming Monte Carlo simulations and demonstrate its application and validity with real sensor data. The proposed method is used to determine in which scenarios the sensor’s real noise can be approximated by simple white Gaussian noise. The results indicate that neglecting colored sensor noise is justified for many applications, but should be checked individually for each sensor configuration and mission.https://www.mdpi.com/1424-8220/20/23/6914inertial navigationinertial measurement unitsensor errorsnavigation performancenoise processeserror propagation
spellingShingle Christopher Blum
Johann Dambeck
Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation
Sensors
inertial navigation
inertial measurement unit
sensor errors
navigation performance
noise processes
error propagation
title Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation
title_full Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation
title_fullStr Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation
title_full_unstemmed Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation
title_short Analytical Assessment of the Propagation of Colored Sensor Noise in Strapdown Inertial Navigation
title_sort analytical assessment of the propagation of colored sensor noise in strapdown inertial navigation
topic inertial navigation
inertial measurement unit
sensor errors
navigation performance
noise processes
error propagation
url https://www.mdpi.com/1424-8220/20/23/6914
work_keys_str_mv AT christopherblum analyticalassessmentofthepropagationofcoloredsensornoiseinstrapdowninertialnavigation
AT johanndambeck analyticalassessmentofthepropagationofcoloredsensornoiseinstrapdowninertialnavigation