×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## Introduction to Global Navigation Satellite Systems

by: Laila Windler

33

0

2

# Introduction to Global Navigation Satellite Systems ASEN 5090

Marketplace > University of Colorado at Boulder > Aerospace Engineering > ASEN 5090 > Introduction to Global Navigation Satellite Systems
Laila Windler

GPA 3.96

Kristine Larson

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Kristine Larson
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Aerospace Engineering

This 2 page Class Notes was uploaded by Laila Windler on Friday October 30, 2015. The Class Notes belongs to ASEN 5090 at University of Colorado at Boulder taught by Kristine Larson in Fall. Since its upload, it has received 33 views. For similar materials see /class/232166/asen-5090-university-of-colorado-at-boulder in Aerospace Engineering at University of Colorado at Boulder.

×

## Reviews for Introduction to Global Navigation Satellite Systems

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/30/15
ASEN 5090 Introduction to GNSS ASEN 5090 NOTES on POSITIONING ERRORS Introduction A variety of error measures are used in positioning deriving from different positioning requirements People are generally most familiar with error measures for a scalar random variable In navigation and positioning two dimensional distributions are of interest for horizontal positioning Three dimensional errors are also important although very often the vertical direction has very different performance requirements and is specified separately 1 D For a scalar measurements x we have the following 7 1 n The mean value over n measurements is x i 2 x1 EIxi l 739 il The deviation ofa measurement from the mean is 6x x1 J 2 The standard deviation is defined as 3 The variance is oz The root mean square value is 4 For a scalar random variable or measurement with a Normal Gaussian distribution the probability of being within 10 of the mean is 683 2 D For a two dimensional measurement say x1 and y we have 7 l n 7 l n The mean value over n measurements is x 7 2 x1 y 7 Z yl 5 7 7 171 171 The deviation ofa measurement from the mean is 5x x1 J 11 yl 7 6 I n I 2 5x152 7x 2 n 1 The covariance matrix is P 11 7 n 2 5 51 371 2 n 1 y ASEN 5090 Introduction to GNSS The covariance matrix defines the error ellipse The eigenvalues of P are the squares of the semimajor and semiminor axes of the ellipse 512 and 022 and the eigenvectors show the orientation of the error ellipse DRMS Distance Root Mean Square 2D DRMS 012 022 12 Radial Error Mean Square Position Error or RSS 8 Probability of being inside DRMS circle For 01 02 probability 63 For 01 1002 probability 68 ZDRMS Two definitions 2 X DRMS Probability between 954 and 98 US Federal Radionavigation Plan definition 2D RMS Same as DRMS 6368 NATO39s Standardization Agreement CEP Circular Error Probable is the radius of a circle inside which 50 of the points fall How 0 you compute this From the data find the median radius How does it compare to 01 and 02 For a normal distribution For 01 02 CEP 118 0 Approximate CEP 05901 02 i 3 for 02 3 lt 01 lt 3 02 9 95 circle is CEP X 208 2 X DRMS 99 circle is CEP X 258 3D Error ellipsoid Based on covariance matrix same as 2D Probability of being inside the 10 ellipsoid is 20 MRSE Mean Radial Spherical Error MRSE 012 022 032 12 Probability of being inside MRSE sphere 61 SEP Spherical Error Probable is the radius of sphere inside which 50 of the points fall Approximate SEP 059 01 02 03 References 1 Aerospace Avionics Systems A Modern Synthesis G M Siouris Appendix A 1993 ASEN5190ErrorNotesdoc 090801

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Kyle Maynard Purdue

#### "When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the material...plus I made \$280 on my first study guide!"

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com