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KVH Industries, Inc. • World Headquarters • 50 Enterprise Center • Middletown, RI • 02842kvh.com
White Paper
Guide to Comparing
Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems
and Fiber Optic Gyros
©2014 KVH Industries, Inc.kvh.com
2
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
KVH®
and E•Core®
are registered trademarks of KVH Industries, Inc.
KVH fiber optic gyros and digital signal processing technology are covered by one or more patents;
details available at www.kvh.com
All other trademarks are the property of their respective companies.
©2014 KVH Industries, Inc.kvh.com
3
Abstract
Engineers designing gyro-stabilized systems for manned or unmanned applications
must compare the attributes of various gyro technologies to determine which sensors
offer the required performance parameters. Depending on the specifics of the
application being designed, some performance criteria are more important than others.
A reliable means of comparing common critical performance parameters is a necessary
tool for designers and engineers. This paper compares gyro and inertial measurement
technologies using distinct performance criteria of fiber optic gyros (FOGs) and FOG-
based inertial systems, and micro-electro-mechanical systems (MEMS)-based gyros
and MEMS inertial systems. It focuses on the five key critical performance areas of
industrial and tactical grade gyros, as well as current and trending applications for both
FOGs and MEMS.
Introduction
Gyroscopes are essential for navigation, guidance, and stabilization and/or pointing
of many manned and unmanned systems designed for commercial, industrial, and
military applications. From game controllers to smartphones, and from remote
stabilized weapons to driverless vehicles, gyros and inertial measurement units (IMUs)
perform a number of vital navigation, guidance, and positioning functions within these
systems.
With the tremendous variety of applications comes an equally wide array of
performance grades in gyros and IMUs. Consumer grade gyros such as those used
in video game controllers, smartphones, tablets, and automobile airbag systems
exist on the low-end of both performance and cost. More demanding applications
such as weapons systems, driverless vehicles, and navigation in GPS/GNSS-denied
environments require a much higher grade of performance. The performance
capabilities and accuracy requirements determine which technology is integrated into
a specific system.
Grading Performance in Gyros
Gyro and IMU accuracy can be roughly divided into performance grades according
to bias stability specifications, with the lowest grade being used for consumer
products, and the highest performing grades being used for mission critical strategic
applications. A bias stability measurement tells you how stable the bias of a gyro is
over a certain specified period of time. In general, the lower the bias stability the lower
the errors will be when integrating the gyro output over time. A gyro with lower bias
stability will lead to lower errors in position estimates for an inertial measurement
unit. As might be expected, the performance grade of a gyro or IMU also determines
its comparative cost.
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
©2014 KVH Industries, Inc.kvh.com
4
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
The intended application is also an important consideration when evaluating gyro
performance grades. Lower performance gyros such as quartz and silicon MEMS
gyros are typically used in consumer, industrial, and tactical grade applications such
as smartphones, smart munitions, and tactical mid-course guidance. More precision-
oriented applications such as torpedoes, air/land/sea navigation, geo-referencing
mapping and surveying, and autonomous surface or subsurface navigation require
performance grades found in high performance FOGs, ring laser gyros (RLGs), and
mechanical gyros. For the purposes of this paper, we will focus on fiber optic gyros
and micro-electro-mechanical systems gyros.
Gyro Technology Types
Micro-Electro-Mechanical Systems (MEMS) Gyros
These gyros use the Coriolis effect, which is based on vibrating mass deflection
resulting from rotation. MEMS can be quartz or silicon based in construction and their
benefits are low cost and small size/weight. MEMS are typically used in consumer to
industrial grade applications.
Fiber Optic Gyros (FOGs)
FOGs use the Sagnac effect, which utilizes counter-propagating optical beams and
interferometry to measure rotation. FOGs have solid state, all fiber or hybrid fiber
construction. Moderately priced, these gyros are typically used for industrial and high-
tactical grade applications, and provide good price to performance value.
Key Gyro Performance Factors
This paper will look at five critical areas in which industrial/tactical grade gyros must
outperform consumer grade gyros while maintaining small form factor and low cost.
These areas are:
1. Noise or Angle Random Walk (ARW) - The average error that occurs as a result of
high frequency white noise.
2. Bias Offset Error - A stationary gyro can incorrectly register some rotation; this
is called bias offset error. Its deviation from zero is typically given at 25°C for an
ideal environment (i.e. no temperature change, vibration, shock, or magnetic field
applied).
3. Bias Instability - Instability of the bias offset at any constant temperature and ideal
environment.
Table 1.
Gyro Grades Based on
Bias Stability
Performance Grade Bias Stability
Consumer 30-1000°/hr
Industrial 1-30°/hr
Tactical 0.1-30°/hr
High-end Tactical 0.1-1°/hr
Navigation 0.01-0.1°/hr
Strategic 0.0001-0.01°/hr
©2014 KVH Industries, Inc.kvh.com
5
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
4. Temperature Sensitivity - Bias offset and absolute scale factor (SF) of a gyro will
vary slightly with temperature changes. This can be improved with calibration.
5. Shock and Vibration Sensitivity - Shock and vibration can be modeled as noise and
bias offset in the gyro output, causing inaccuracies too large to accommodate. These
inaccuracies are not easily improved with calibration.
1. Noise or Angle Random Walk (ARW)
The output of a gyro includes a broadband, random (white) noise element. ARW
describes the average deviation or error that will occur as a result of this noise
element, and can be obtained from the Allan Variance value (refer to Figure 1) at the
1-sec crossing time (IEEE-STD-952: “Specification Format Guide and Test Procedure
for Single-Axis Interferometric Fiber Optic Gyros”).
At short averaging times (horizontal axis of the Allan Variance plot), sensor noise
dominates and is given as the -½ slope. Major contributors to random noise are the
active elements of the gyro such as the laser diode and photo diode in a FOG, and
the silicon or quartz vibrating beam and detection electronics in a MEMS gyro.
There are large noise performance differences among the various FOG and MEMS
gyro suppliers, so designers typically pay extra attention to this parameter. Too much
gyro noise results in loss of application precision and accuracy in the rate or position
measurement.
Figure 1.
Log Allan Deviation Plot from IEEE-STD-952
©2014 KVH Industries, Inc.kvh.com
6
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
2. Bias Offset Error
Bias is any nonzero sensor input when the input is zero. A mathematical model is used
to calibrate and compensate for fixed errors such as bias (offset) and input/output scale
factor variations.
3. Bias Instability (Constant Temperature)
This is the stability of the bias offset at any constant temperature and ideal
environment. Bias instability is best measured using the Allan Variance (IEEE-
STD-952) measurement technique and is the fundamental method of deriving
performance specifications for all major gyro types including FOGs, MEMS, and
RLGs.
The standard definition of bias instability used by inertial sensor manufacturers is the
minimum point on the Allan Variance curve - the lower this value, the better the bias
performance (refer to Figure 1). Allan Variance is intended to estimate stability due
to noise processes, and not that of systematic errors such as temperature, shock, or
vibration effects.
While a gyro’s constant bias offset could potentially be calibrated out, bias instability
introduces an error that may not be easy to calibrate. Due to bias instability, the longer
a gyro operates, the greater its accumulated rate or position error. Low bias instability
is critical for applications requiring excellent accuracy over long periods, such as
autonomous vehicle navigation. Bias instability is therefore very critical in the gyro
selection process.
4. Temperature Sensitivity
Gyro performance degrades over temperature. Parameters sensitive to temperature
include noise, bias offset, and scale factor (sensitivity). System integrators should
characterize all these parameters over temperature to confirm that gyro performance
meets system targets. The smaller the uncalibrated temperature sensitivity is, the
better the calibrated performance. For example, KVH FOGs have internal temperature
calibration tables for bias offset and scale factor correction versus temperature.
5. Shock and Vibration Sensitivity
Gyro performance (noise and bias offset) also degrades under vibration and shock
input, and vibration and shock-induced errors are not easily calibrated. Vibration
performance is important in many industrial and military applications in which gyros
must perform accurately in the presence of random vibration and/or shock input
caused by numerous factors such as engines or gunfire. To help minimize vibration
issues, designers locate the gyro where vibrations are dampened and utilize anti-alias
©2014 KVH Industries, Inc.kvh.com
7
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
and decimation filtering. The more resistant a gyro is to vibration, the more reliable
the performance and the more freedom the designer has for gyro location within the
system.
Provided in Table 2 are the performance parameters of currently manufactured
gyros. Likewise, Table 3 is a performance sample of currently manufactured inertial
measurement units including both MEMS and FOGs.
Overview of FOGs
Fiber optic gyros offer high performance in the five key parameters vital for
navigation, control, and stabilization. These are low angle random walk; small bias
offset error; excellent bias instability (low drift); reduced temperature sensitivity; and
reduced shock and vibration sensitivity. FOGs are solid state sensors which makes
these gyros extremely robust and reliable. In terms of cost vs. performance, FOGs
offer an excellent value. With these strengths, however, FOGs are also larger, heavier,
and require higher power consumption than MEMS gyros. FOGs essentially present
engineers with a choice or trade-off between high performance and low size/weight/
power.
Traditional and Trending Applications for FOGs and FOG-based IMUs
With the superior ARW and thermal bias stability of FOGs, this technology is often
the choice of engineers designing high-speed platform stabilization in land, sea, and
Gyro FOG vs MEMS Performance Table
Technology FOG FOG MEMS Quartz MEMS Silicon MEMS Silicon
Parameter Units Spec Spec Spec Spec Spec
Input Rate (maximum) ± °/sec 490 or 1000 1000 500 400 300
Angle Random Walk (25°C) °/h/√Hz ≤ 0.7 ≤ 1.2 ≤ 0.6 ≤ 9 ≤ 45
Bias Offset (25°C) ± °/h 2 Not specified Not specified 250 3600
Bias Instability (constant temp) °/h, 1s ≤ 0.05 ≤ 0.10 ≤ 0.5 ≤ 0.5 ≤ 6
Bias Full Temp (≤ 1 °C/min) °/h, 1s ≤ 1 ≤ 0.5 ≤ 1 ≤ 10 ≤ 11
Bias Vibration Rectification °/h/grms ≤ 0.3 Not specified ≤ 1 ≤ 1 ≤ 10
SF Non-Linearity (max rate, 25°C) ppm, 1s of F.S. ≤ 50 ≤ 50 ≤ 500 ≤ 50 ≤ 27
SF Full Temp (≤ 1 °C/min) ppm, 1s ≤ 200 ≤ 100 ≤ 200 167 ≤ 667
SF Absolute Accuracy (25°C) ± ppm 2000 Not specified Not specified 500 10000
Bandwidth (-3dB) Hz 440 1000 Not specified 262 335
Physical Sensor
1,2 or 3-axis
package
Dimensions (max) Inches ⌀1.8 x 0.9 3.2 L x 3.2 W x 0.8 H 3.3 L x 3.1 W x 1 H 1.8 L x 1.5 W x 0.8 H 1.7 L x 1.4 W x 0.5 H
Weight (max) Pounds 0.24 Not specified 0.5 0.11 0.053
Electrical
Power Consumption (max) Watts 4 Not specified 2.25 1.5 0.5
=	
  high-­‐end	
  tactical	
  grade	
  gyro	
  performance	
  (ARW	
  ≤	
  6	
  °/h/√Hz	
  =	
  0.1	
  °√h,	
  Bias	
  Offset	
  ±	
  10	
  °/h
	
  	
  	
  Bias	
  Instability	
  ≤	
  1	
  °/h-­‐1σ,	
  Bias	
  Temp	
  ≤	
  1	
  °/h-­‐1σ,	
  Bias	
  Vibe	
  ≤	
  1	
  °/h/grms,	
  SF	
  Temp	
  ≤	
  200	
  ppm-­‐1σ)
=	
  at	
  upper	
  limit	
  (marginal	
  performance	
  )	
  of	
  high-­‐end	
  tactical	
  grade	
  gyro	
  performance
=	
  small	
  size,	
  low	
  weight,	
  low	
  power	
  consumption	
  	
  (Size	
  ≤	
  2	
  in.,	
  Weight	
  ≤	
  0.25	
  lbs.,	
  Power	
  ≤	
  2	
  Watts)
Table 2.
GYRO FOG vs. MEMS Performance
©2014 KVH Industries, Inc.kvh.com
8
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
aerial systems including mission-critical weapons platform stabilization. FOGs are
used in motion sensing, pointing, stabilization, and navigation for unmanned and
manned applications, GNSS/INS integration systems, payloads for Unmanned Aerial
Vehicles (UAVs), long-range optical and sensor systems, and high-accuracy inertial
navigation systems. FOG-based IMUs with low bias offset and excellent thermal bias
stability are typically the choice for such demanding applications as antenna, optical
equipment and laser system pointing and stabilization, GNSS-aiding, unmanned
vehicle stabilization and navigation, EO/FLIR, land, sea, aerial mobile mapping and
surveying, flight control, and altitude, heading and reference systems (AHRS).
Some emerging applications for high performance FOGs and FOG-based IMUs
include autonomous platforms for land, air, and sea that require excellent thermal
bias stability. Such autonomous and robotic systems include, but are not limited to,
oil and gas exploration, ocean floor mapping, search and rescue operations, security
and law enforcement support, wildfire control and monitoring, military operations
support multipliers, humanoid systems, and industrial material handling. In addition,
Table 3.
IMU FOG vs. MEMS PerformanceIMU FOG vs MEMS Performance Table
Parameter Units Spec Spec Spec Spec Spec
Performance - Gyros Technology FOG FOG MEMS Quartz MEMS Silicon MEMS Silicon
Input Rate (maximum) ± °/sec 490 or 1000 1000 1000 400 300
Angle Random Walk (25°C) °/h/√Hz ≤ 0.7 ≤ 4.8 1.2 ≤ 9 ≤ 60
Bias Offset (25°C) ± °/h 2 Not specified Not specified 250 10,800
Bias Instability (constant temp) °/h, 1s ≤ 0.05 ≤ 0.35 1 ≤ 0.5 ≤ 7.2
Bias Full Temp (≤ 1 °C/min) °/h, 1s ≤ 1 ≤ 1 1 ≤ 10 ≤ 1500
Bias Vibration Rectification °/h/grms ≤ 0.3 Not specified ≤ 1 ≤ 1 ≤ 17
SF Non-Linearity (max rate, 25°C) ppm, 1s of F.S. ≤ 50 Non specfied Not specified ≤ 50 333
SF Full Temp (≤ 1 °C/min) ppm, 1s ≤ 200 ≤ 100 ≤ 200 167 1667
SF Absolute Accuracy (25°C) ± ppm 2000 Not specified Not specified 500 10,000
Bandwidth (-3dB) Hz ≥ 440 ≥ 500 ≥ 75 262 330
Misalignment ± mrads 0.4 0.1 Not specified 1 0.8
Performance - Accels Technology MEMS Silicon MEMS Quartz MEMS Quartz MEMS Silicon MEMS Silicon
Input Limit (maximum) ± g 10 40 50 10 5
Velocity Random Walk (25 °C) mg/√Hz ≤ 0.12 ≤ 0.05 ≤ 0.10 0.1 0.34
Bias Offset (25°C) ± mg 2 Not specified Not specified Not specified 8
Bias Instability (constant temp) mg, 1s ≤ 0.05 ≤ 0.05 0.1 0.05 0.04
Bias Full Temp (≤ 1 °C/min) mg, 1s ≤ 1 ≤ 0.2 to 1 1 2 12.5
SF Full Temp (≤ 1 °C/min) ppm, 1s ≤ 300 ≤ 300 ≤ 200 300 2083
Bandwidth (-3dB) Hz ≥ 200 ≥ 100 ≥ 75 262 330
Physical
Dimensions (max) Inches 3.5 Dia x 2.9 H 3.5 Dia x 3.3 H 2.9 Dia x 2.9 H 1.8 L x 1.5 W x 0.8 H 1.9 L x 1.4 W x 1.5 H
Weight (max) Pounds 1.45 1.54 1.3 0.12 0.1
Electrical
Power Consumption (max) Watts 8 11 5 2 1
=	
  high-­‐end	
  tactical	
  grade	
  gyro	
  performance	
  (ARW	
  ≤	
  6	
  °/h/√Hz	
  =	
  0.1	
  °/√h,	
  Bias	
  Offset	
  ±	
  10	
  °/h
	
  	
  	
  Bias	
  Instability	
  ≤	
  1	
  °/h-­‐1σ,	
  Bias	
  Temp	
  ≤	
  1	
  °/h-­‐1σ,	
  Bias	
  Vibe	
  ≤	
  1	
  °/h/grms,	
  SF	
  Temp	
  ≤	
  200	
  ppm-­‐1σ)
=	
  at	
  upper	
  limit	
  (marginal	
  performance	
  )	
  of	
  high-­‐end	
  tactical	
  grade	
  gyro	
  performance
=	
  small	
  size,	
  low	
  weight	
  and	
  low	
  power	
  consumption	
  (Size	
  ≤	
  2	
  in.,	
  Weight	
  ≤	
  0.5	
  lbs.,	
  Power	
  ≤	
  3	
  Watts)
©2014 KVH Industries, Inc.kvh.com
9
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
FOGs’ excellent ARW makes them ideal for augmented reality systems used for such
applications such as sports (America’s Cup races and NFL football) and virtual map
overlays in real time used by first responders and law enforcement.
The future of driverless vehicle technology requires the superior bias and scale factor
stability offered by high performance FOGs and FOG-based IMUs. These applications
include driver-assist systems for self-parking, collision avoidance, and auto-braking,
as well as vehicle-to-vehicle applications such as safe road trains and connected driver
systems. In military applications, driverless cargo convoys rely on the same situational
awareness technology.
Overview of MEMS
Micro-electro-mechanical systems gyros offer smaller size and weight and less power
consumption than other gyroscopes. MEMS are capable of withstanding high non-
operating shock levels, and in general offer a lower cost than other gyro technologies.
The weaknesses of MEMS gyros and inertial systems lie in critical performance
parameters such as higher angle random walk/noise, which is an extremely important
performance criterion in stabilization and positioning systems. In addition, MEMS
gyros have higher bias instability, which results in a degraded navigation or
stabilization/pointing solution. Thermal sensitivity of MEMS gyros and inertial
systems also impacts their bias and scale factor performance; these attributes are
critical in both stabilization and navigation applications.
Traditional and Trending Applications for MEMS and MEMS-based IMUs
MEMS deliver the small size, low cost, and level of performance ideal for consumer
grade applications such as digital cameras, smartphones, video game controllers, and
automotive applications such as airbag deployments and electronic stability control
systems. MEMS-based IMUs are commonly used for industrial-grade applications
including miniaturized AHRS, and low/moderate pointing and positioning systems.
Emerging applications in which MEMS are likely to lead include consumer
entertainment applications such as full body motion capture for movie special effects
and game developers. Movement science turns to MEMS for motion capture for
sports applications and medical/health applications such as rehabilitation and clinical
diagnosis. In the field of GPS/sensor-aided autonomous platforms requiring small size
over other performance parameters, MEMS are being tested for short-term mission
duration, stabilization, control, and navigation.
Conclusion
Engineers designing systems for various applications requiring gyro-stabilization
or inertial navigation need to define and prioritize the performance factors that are
©2014 KVH Industries, Inc.kvh.com
10
Guide to Comparing Gyro and IMU Technologies –
Micro-Electro-Mechanical Systems and Fiber Optic Gyros
most important to the success of their design. By taking into consideration the five
most compelling performance factors as outlined in this paper, engineers can select
the appropriate gyro and technology. A comparison of FOG or MEMS gyros and
IMUs based on their specific technologies and performance strengths and weaknesses
enables a choice that is most likely to result in an effective and successful design.
KVH FOGs and IMUs are the choice of engineers designing higher performance
systems for a wide variety of challenging applications including robotics, remote
weapons systems, inertial navigation in GNSS-denied environments, unmanned land,
air, and ground vehicles, and driverless car technology. KVH’s highest performing
commercially available IMU, the 1750 IMU, and the DSP-1750 FOG, the world’s
smallest highest performing fiber optic gyro, are providing solutions for the most
difficult navigation and stabilization challenges. KVH gyros and IMUs are chosen by
industry leaders including Boston Dynamics, NovAtel, Inc., Daifuku Webb, Raytheon,
Lockheed Martin, General Dynamics, Subsea Tech, Inc., BAE Systems, Inc., and
iRobot.
About KVH Industries
KVH Industries, Inc., is a premier manufacturer of high performance sensors and
integrated inertial systems for defense and commercial guidance and stabilization
applications. KVH is also a leading manufacturer of solutions that provide global
high-speed Internet, television and voice services via satellite to mobile users at sea,
on land, and in the air. An ISO 9001-certified company, KVH is based in Middletown,
Rhode Island, U.S.A., with facilities in Illinois, U.S.A., Denmark, Norway, the U.K.,
Singapore, the Philippines, Cyprus, and Japan.
For more information, contact:
www.kvh.com
©2014 KVH Industries, Inc. All rights reserved. No part of this publication may be reproduced, stored in a
retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or
otherwise, without prior written permission.
North America
Sean McCormack
KVH FOG/OEM Sales Manager
Direct tel: +1 401-845-2413
Email: smccormack@kvh.com
Turkey, Middle East, Africa 
ASIAPAC
Christine Marion
KVH International FOG/OEM Sales 	
	 Manager
Direct tel: +1 401-845-8126
Email: cmarion@kvh.com
Europe
Jeya Sithamparanathan
KVH European FOG/OEM Sales
	 Manager
Direct tel: +47 33 03 05 33
Email: jeya@kvh.com

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Guide to Comparing Gyro and IMU Technologies - MEMS and Fiber Optic Gyros

  • 1. KVH Industries, Inc. • World Headquarters • 50 Enterprise Center • Middletown, RI • 02842kvh.com White Paper Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros
  • 2. ©2014 KVH Industries, Inc.kvh.com 2 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros KVH® and E•Core® are registered trademarks of KVH Industries, Inc. KVH fiber optic gyros and digital signal processing technology are covered by one or more patents; details available at www.kvh.com All other trademarks are the property of their respective companies.
  • 3. ©2014 KVH Industries, Inc.kvh.com 3 Abstract Engineers designing gyro-stabilized systems for manned or unmanned applications must compare the attributes of various gyro technologies to determine which sensors offer the required performance parameters. Depending on the specifics of the application being designed, some performance criteria are more important than others. A reliable means of comparing common critical performance parameters is a necessary tool for designers and engineers. This paper compares gyro and inertial measurement technologies using distinct performance criteria of fiber optic gyros (FOGs) and FOG- based inertial systems, and micro-electro-mechanical systems (MEMS)-based gyros and MEMS inertial systems. It focuses on the five key critical performance areas of industrial and tactical grade gyros, as well as current and trending applications for both FOGs and MEMS. Introduction Gyroscopes are essential for navigation, guidance, and stabilization and/or pointing of many manned and unmanned systems designed for commercial, industrial, and military applications. From game controllers to smartphones, and from remote stabilized weapons to driverless vehicles, gyros and inertial measurement units (IMUs) perform a number of vital navigation, guidance, and positioning functions within these systems. With the tremendous variety of applications comes an equally wide array of performance grades in gyros and IMUs. Consumer grade gyros such as those used in video game controllers, smartphones, tablets, and automobile airbag systems exist on the low-end of both performance and cost. More demanding applications such as weapons systems, driverless vehicles, and navigation in GPS/GNSS-denied environments require a much higher grade of performance. The performance capabilities and accuracy requirements determine which technology is integrated into a specific system. Grading Performance in Gyros Gyro and IMU accuracy can be roughly divided into performance grades according to bias stability specifications, with the lowest grade being used for consumer products, and the highest performing grades being used for mission critical strategic applications. A bias stability measurement tells you how stable the bias of a gyro is over a certain specified period of time. In general, the lower the bias stability the lower the errors will be when integrating the gyro output over time. A gyro with lower bias stability will lead to lower errors in position estimates for an inertial measurement unit. As might be expected, the performance grade of a gyro or IMU also determines its comparative cost. Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros
  • 4. ©2014 KVH Industries, Inc.kvh.com 4 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros The intended application is also an important consideration when evaluating gyro performance grades. Lower performance gyros such as quartz and silicon MEMS gyros are typically used in consumer, industrial, and tactical grade applications such as smartphones, smart munitions, and tactical mid-course guidance. More precision- oriented applications such as torpedoes, air/land/sea navigation, geo-referencing mapping and surveying, and autonomous surface or subsurface navigation require performance grades found in high performance FOGs, ring laser gyros (RLGs), and mechanical gyros. For the purposes of this paper, we will focus on fiber optic gyros and micro-electro-mechanical systems gyros. Gyro Technology Types Micro-Electro-Mechanical Systems (MEMS) Gyros These gyros use the Coriolis effect, which is based on vibrating mass deflection resulting from rotation. MEMS can be quartz or silicon based in construction and their benefits are low cost and small size/weight. MEMS are typically used in consumer to industrial grade applications. Fiber Optic Gyros (FOGs) FOGs use the Sagnac effect, which utilizes counter-propagating optical beams and interferometry to measure rotation. FOGs have solid state, all fiber or hybrid fiber construction. Moderately priced, these gyros are typically used for industrial and high- tactical grade applications, and provide good price to performance value. Key Gyro Performance Factors This paper will look at five critical areas in which industrial/tactical grade gyros must outperform consumer grade gyros while maintaining small form factor and low cost. These areas are: 1. Noise or Angle Random Walk (ARW) - The average error that occurs as a result of high frequency white noise. 2. Bias Offset Error - A stationary gyro can incorrectly register some rotation; this is called bias offset error. Its deviation from zero is typically given at 25°C for an ideal environment (i.e. no temperature change, vibration, shock, or magnetic field applied). 3. Bias Instability - Instability of the bias offset at any constant temperature and ideal environment. Table 1. Gyro Grades Based on Bias Stability Performance Grade Bias Stability Consumer 30-1000°/hr Industrial 1-30°/hr Tactical 0.1-30°/hr High-end Tactical 0.1-1°/hr Navigation 0.01-0.1°/hr Strategic 0.0001-0.01°/hr
  • 5. ©2014 KVH Industries, Inc.kvh.com 5 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros 4. Temperature Sensitivity - Bias offset and absolute scale factor (SF) of a gyro will vary slightly with temperature changes. This can be improved with calibration. 5. Shock and Vibration Sensitivity - Shock and vibration can be modeled as noise and bias offset in the gyro output, causing inaccuracies too large to accommodate. These inaccuracies are not easily improved with calibration. 1. Noise or Angle Random Walk (ARW) The output of a gyro includes a broadband, random (white) noise element. ARW describes the average deviation or error that will occur as a result of this noise element, and can be obtained from the Allan Variance value (refer to Figure 1) at the 1-sec crossing time (IEEE-STD-952: “Specification Format Guide and Test Procedure for Single-Axis Interferometric Fiber Optic Gyros”). At short averaging times (horizontal axis of the Allan Variance plot), sensor noise dominates and is given as the -½ slope. Major contributors to random noise are the active elements of the gyro such as the laser diode and photo diode in a FOG, and the silicon or quartz vibrating beam and detection electronics in a MEMS gyro. There are large noise performance differences among the various FOG and MEMS gyro suppliers, so designers typically pay extra attention to this parameter. Too much gyro noise results in loss of application precision and accuracy in the rate or position measurement. Figure 1. Log Allan Deviation Plot from IEEE-STD-952
  • 6. ©2014 KVH Industries, Inc.kvh.com 6 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros 2. Bias Offset Error Bias is any nonzero sensor input when the input is zero. A mathematical model is used to calibrate and compensate for fixed errors such as bias (offset) and input/output scale factor variations. 3. Bias Instability (Constant Temperature) This is the stability of the bias offset at any constant temperature and ideal environment. Bias instability is best measured using the Allan Variance (IEEE- STD-952) measurement technique and is the fundamental method of deriving performance specifications for all major gyro types including FOGs, MEMS, and RLGs. The standard definition of bias instability used by inertial sensor manufacturers is the minimum point on the Allan Variance curve - the lower this value, the better the bias performance (refer to Figure 1). Allan Variance is intended to estimate stability due to noise processes, and not that of systematic errors such as temperature, shock, or vibration effects. While a gyro’s constant bias offset could potentially be calibrated out, bias instability introduces an error that may not be easy to calibrate. Due to bias instability, the longer a gyro operates, the greater its accumulated rate or position error. Low bias instability is critical for applications requiring excellent accuracy over long periods, such as autonomous vehicle navigation. Bias instability is therefore very critical in the gyro selection process. 4. Temperature Sensitivity Gyro performance degrades over temperature. Parameters sensitive to temperature include noise, bias offset, and scale factor (sensitivity). System integrators should characterize all these parameters over temperature to confirm that gyro performance meets system targets. The smaller the uncalibrated temperature sensitivity is, the better the calibrated performance. For example, KVH FOGs have internal temperature calibration tables for bias offset and scale factor correction versus temperature. 5. Shock and Vibration Sensitivity Gyro performance (noise and bias offset) also degrades under vibration and shock input, and vibration and shock-induced errors are not easily calibrated. Vibration performance is important in many industrial and military applications in which gyros must perform accurately in the presence of random vibration and/or shock input caused by numerous factors such as engines or gunfire. To help minimize vibration issues, designers locate the gyro where vibrations are dampened and utilize anti-alias
  • 7. ©2014 KVH Industries, Inc.kvh.com 7 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros and decimation filtering. The more resistant a gyro is to vibration, the more reliable the performance and the more freedom the designer has for gyro location within the system. Provided in Table 2 are the performance parameters of currently manufactured gyros. Likewise, Table 3 is a performance sample of currently manufactured inertial measurement units including both MEMS and FOGs. Overview of FOGs Fiber optic gyros offer high performance in the five key parameters vital for navigation, control, and stabilization. These are low angle random walk; small bias offset error; excellent bias instability (low drift); reduced temperature sensitivity; and reduced shock and vibration sensitivity. FOGs are solid state sensors which makes these gyros extremely robust and reliable. In terms of cost vs. performance, FOGs offer an excellent value. With these strengths, however, FOGs are also larger, heavier, and require higher power consumption than MEMS gyros. FOGs essentially present engineers with a choice or trade-off between high performance and low size/weight/ power. Traditional and Trending Applications for FOGs and FOG-based IMUs With the superior ARW and thermal bias stability of FOGs, this technology is often the choice of engineers designing high-speed platform stabilization in land, sea, and Gyro FOG vs MEMS Performance Table Technology FOG FOG MEMS Quartz MEMS Silicon MEMS Silicon Parameter Units Spec Spec Spec Spec Spec Input Rate (maximum) ± °/sec 490 or 1000 1000 500 400 300 Angle Random Walk (25°C) °/h/√Hz ≤ 0.7 ≤ 1.2 ≤ 0.6 ≤ 9 ≤ 45 Bias Offset (25°C) ± °/h 2 Not specified Not specified 250 3600 Bias Instability (constant temp) °/h, 1s ≤ 0.05 ≤ 0.10 ≤ 0.5 ≤ 0.5 ≤ 6 Bias Full Temp (≤ 1 °C/min) °/h, 1s ≤ 1 ≤ 0.5 ≤ 1 ≤ 10 ≤ 11 Bias Vibration Rectification °/h/grms ≤ 0.3 Not specified ≤ 1 ≤ 1 ≤ 10 SF Non-Linearity (max rate, 25°C) ppm, 1s of F.S. ≤ 50 ≤ 50 ≤ 500 ≤ 50 ≤ 27 SF Full Temp (≤ 1 °C/min) ppm, 1s ≤ 200 ≤ 100 ≤ 200 167 ≤ 667 SF Absolute Accuracy (25°C) ± ppm 2000 Not specified Not specified 500 10000 Bandwidth (-3dB) Hz 440 1000 Not specified 262 335 Physical Sensor 1,2 or 3-axis package Dimensions (max) Inches ⌀1.8 x 0.9 3.2 L x 3.2 W x 0.8 H 3.3 L x 3.1 W x 1 H 1.8 L x 1.5 W x 0.8 H 1.7 L x 1.4 W x 0.5 H Weight (max) Pounds 0.24 Not specified 0.5 0.11 0.053 Electrical Power Consumption (max) Watts 4 Not specified 2.25 1.5 0.5 =  high-­‐end  tactical  grade  gyro  performance  (ARW  ≤  6  °/h/√Hz  =  0.1  °√h,  Bias  Offset  ±  10  °/h      Bias  Instability  ≤  1  °/h-­‐1σ,  Bias  Temp  ≤  1  °/h-­‐1σ,  Bias  Vibe  ≤  1  °/h/grms,  SF  Temp  ≤  200  ppm-­‐1σ) =  at  upper  limit  (marginal  performance  )  of  high-­‐end  tactical  grade  gyro  performance =  small  size,  low  weight,  low  power  consumption    (Size  ≤  2  in.,  Weight  ≤  0.25  lbs.,  Power  ≤  2  Watts) Table 2. GYRO FOG vs. MEMS Performance
  • 8. ©2014 KVH Industries, Inc.kvh.com 8 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros aerial systems including mission-critical weapons platform stabilization. FOGs are used in motion sensing, pointing, stabilization, and navigation for unmanned and manned applications, GNSS/INS integration systems, payloads for Unmanned Aerial Vehicles (UAVs), long-range optical and sensor systems, and high-accuracy inertial navigation systems. FOG-based IMUs with low bias offset and excellent thermal bias stability are typically the choice for such demanding applications as antenna, optical equipment and laser system pointing and stabilization, GNSS-aiding, unmanned vehicle stabilization and navigation, EO/FLIR, land, sea, aerial mobile mapping and surveying, flight control, and altitude, heading and reference systems (AHRS). Some emerging applications for high performance FOGs and FOG-based IMUs include autonomous platforms for land, air, and sea that require excellent thermal bias stability. Such autonomous and robotic systems include, but are not limited to, oil and gas exploration, ocean floor mapping, search and rescue operations, security and law enforcement support, wildfire control and monitoring, military operations support multipliers, humanoid systems, and industrial material handling. In addition, Table 3. IMU FOG vs. MEMS PerformanceIMU FOG vs MEMS Performance Table Parameter Units Spec Spec Spec Spec Spec Performance - Gyros Technology FOG FOG MEMS Quartz MEMS Silicon MEMS Silicon Input Rate (maximum) ± °/sec 490 or 1000 1000 1000 400 300 Angle Random Walk (25°C) °/h/√Hz ≤ 0.7 ≤ 4.8 1.2 ≤ 9 ≤ 60 Bias Offset (25°C) ± °/h 2 Not specified Not specified 250 10,800 Bias Instability (constant temp) °/h, 1s ≤ 0.05 ≤ 0.35 1 ≤ 0.5 ≤ 7.2 Bias Full Temp (≤ 1 °C/min) °/h, 1s ≤ 1 ≤ 1 1 ≤ 10 ≤ 1500 Bias Vibration Rectification °/h/grms ≤ 0.3 Not specified ≤ 1 ≤ 1 ≤ 17 SF Non-Linearity (max rate, 25°C) ppm, 1s of F.S. ≤ 50 Non specfied Not specified ≤ 50 333 SF Full Temp (≤ 1 °C/min) ppm, 1s ≤ 200 ≤ 100 ≤ 200 167 1667 SF Absolute Accuracy (25°C) ± ppm 2000 Not specified Not specified 500 10,000 Bandwidth (-3dB) Hz ≥ 440 ≥ 500 ≥ 75 262 330 Misalignment ± mrads 0.4 0.1 Not specified 1 0.8 Performance - Accels Technology MEMS Silicon MEMS Quartz MEMS Quartz MEMS Silicon MEMS Silicon Input Limit (maximum) ± g 10 40 50 10 5 Velocity Random Walk (25 °C) mg/√Hz ≤ 0.12 ≤ 0.05 ≤ 0.10 0.1 0.34 Bias Offset (25°C) ± mg 2 Not specified Not specified Not specified 8 Bias Instability (constant temp) mg, 1s ≤ 0.05 ≤ 0.05 0.1 0.05 0.04 Bias Full Temp (≤ 1 °C/min) mg, 1s ≤ 1 ≤ 0.2 to 1 1 2 12.5 SF Full Temp (≤ 1 °C/min) ppm, 1s ≤ 300 ≤ 300 ≤ 200 300 2083 Bandwidth (-3dB) Hz ≥ 200 ≥ 100 ≥ 75 262 330 Physical Dimensions (max) Inches 3.5 Dia x 2.9 H 3.5 Dia x 3.3 H 2.9 Dia x 2.9 H 1.8 L x 1.5 W x 0.8 H 1.9 L x 1.4 W x 1.5 H Weight (max) Pounds 1.45 1.54 1.3 0.12 0.1 Electrical Power Consumption (max) Watts 8 11 5 2 1 =  high-­‐end  tactical  grade  gyro  performance  (ARW  ≤  6  °/h/√Hz  =  0.1  °/√h,  Bias  Offset  ±  10  °/h      Bias  Instability  ≤  1  °/h-­‐1σ,  Bias  Temp  ≤  1  °/h-­‐1σ,  Bias  Vibe  ≤  1  °/h/grms,  SF  Temp  ≤  200  ppm-­‐1σ) =  at  upper  limit  (marginal  performance  )  of  high-­‐end  tactical  grade  gyro  performance =  small  size,  low  weight  and  low  power  consumption  (Size  ≤  2  in.,  Weight  ≤  0.5  lbs.,  Power  ≤  3  Watts)
  • 9. ©2014 KVH Industries, Inc.kvh.com 9 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros FOGs’ excellent ARW makes them ideal for augmented reality systems used for such applications such as sports (America’s Cup races and NFL football) and virtual map overlays in real time used by first responders and law enforcement. The future of driverless vehicle technology requires the superior bias and scale factor stability offered by high performance FOGs and FOG-based IMUs. These applications include driver-assist systems for self-parking, collision avoidance, and auto-braking, as well as vehicle-to-vehicle applications such as safe road trains and connected driver systems. In military applications, driverless cargo convoys rely on the same situational awareness technology. Overview of MEMS Micro-electro-mechanical systems gyros offer smaller size and weight and less power consumption than other gyroscopes. MEMS are capable of withstanding high non- operating shock levels, and in general offer a lower cost than other gyro technologies. The weaknesses of MEMS gyros and inertial systems lie in critical performance parameters such as higher angle random walk/noise, which is an extremely important performance criterion in stabilization and positioning systems. In addition, MEMS gyros have higher bias instability, which results in a degraded navigation or stabilization/pointing solution. Thermal sensitivity of MEMS gyros and inertial systems also impacts their bias and scale factor performance; these attributes are critical in both stabilization and navigation applications. Traditional and Trending Applications for MEMS and MEMS-based IMUs MEMS deliver the small size, low cost, and level of performance ideal for consumer grade applications such as digital cameras, smartphones, video game controllers, and automotive applications such as airbag deployments and electronic stability control systems. MEMS-based IMUs are commonly used for industrial-grade applications including miniaturized AHRS, and low/moderate pointing and positioning systems. Emerging applications in which MEMS are likely to lead include consumer entertainment applications such as full body motion capture for movie special effects and game developers. Movement science turns to MEMS for motion capture for sports applications and medical/health applications such as rehabilitation and clinical diagnosis. In the field of GPS/sensor-aided autonomous platforms requiring small size over other performance parameters, MEMS are being tested for short-term mission duration, stabilization, control, and navigation. Conclusion Engineers designing systems for various applications requiring gyro-stabilization or inertial navigation need to define and prioritize the performance factors that are
  • 10. ©2014 KVH Industries, Inc.kvh.com 10 Guide to Comparing Gyro and IMU Technologies – Micro-Electro-Mechanical Systems and Fiber Optic Gyros most important to the success of their design. By taking into consideration the five most compelling performance factors as outlined in this paper, engineers can select the appropriate gyro and technology. A comparison of FOG or MEMS gyros and IMUs based on their specific technologies and performance strengths and weaknesses enables a choice that is most likely to result in an effective and successful design. KVH FOGs and IMUs are the choice of engineers designing higher performance systems for a wide variety of challenging applications including robotics, remote weapons systems, inertial navigation in GNSS-denied environments, unmanned land, air, and ground vehicles, and driverless car technology. KVH’s highest performing commercially available IMU, the 1750 IMU, and the DSP-1750 FOG, the world’s smallest highest performing fiber optic gyro, are providing solutions for the most difficult navigation and stabilization challenges. KVH gyros and IMUs are chosen by industry leaders including Boston Dynamics, NovAtel, Inc., Daifuku Webb, Raytheon, Lockheed Martin, General Dynamics, Subsea Tech, Inc., BAE Systems, Inc., and iRobot. About KVH Industries KVH Industries, Inc., is a premier manufacturer of high performance sensors and integrated inertial systems for defense and commercial guidance and stabilization applications. KVH is also a leading manufacturer of solutions that provide global high-speed Internet, television and voice services via satellite to mobile users at sea, on land, and in the air. An ISO 9001-certified company, KVH is based in Middletown, Rhode Island, U.S.A., with facilities in Illinois, U.S.A., Denmark, Norway, the U.K., Singapore, the Philippines, Cyprus, and Japan. For more information, contact: www.kvh.com ©2014 KVH Industries, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior written permission. North America Sean McCormack KVH FOG/OEM Sales Manager Direct tel: +1 401-845-2413 Email: smccormack@kvh.com Turkey, Middle East, Africa ASIAPAC Christine Marion KVH International FOG/OEM Sales Manager Direct tel: +1 401-845-8126 Email: cmarion@kvh.com Europe Jeya Sithamparanathan KVH European FOG/OEM Sales Manager Direct tel: +47 33 03 05 33 Email: jeya@kvh.com