A Study about Kalman Filters Applied to Embedded Sensors
Aurélien Valade1,2, Pascal Acco3, Pierre Grabolosa4
1LAAS-CNRS, Université de Toulouse, CNRS, INSA, 31031 Toulouse, France. aurelien.valade@imerir.com.
Sensors (Basel, Switzerland)
|December 6, 2017
Summary
This study presents a low-power sensor data fusion methodology using multi-physical models and Kalman filters. It enhances precision and reliability for smart sensors, optimizing processing time on microcontrollers.
Area of Science:
- Embedded Systems
- Sensor Fusion
- Signal Processing
Background:
- Smart sensors increasingly integrate multiple measurement sources.
- Low-power processors present challenges for complex sensor data processing.
- Real-time constraints and computational efficiency are critical for embedded applications.
Purpose of the Study:
- To develop a methodology for accurate physical value estimation in low-power smart sensors.
- To optimize algorithmic complexity for real-time processing on resource-constrained microcontrollers.
- To improve sensor precision and reliability while minimizing power consumption.
Main Methods:
- Implementing a data fusion methodology using multi-physical models and Kalman filters.
- Focusing on algorithmic complexity to meet real-time and low-power constraints.
- Applying the methodology to estimate 2D orientation using an inertial measurement unit with gyroscope bias compensation.
Main Results:
- Demonstrated a methodology suitable for low-power STM32L053 microcontrollers.
- Achieved a processing time of 1.18 ms at 32 MHz with 3.8% CPU usage.
- Enabled a 26 Hz measurement and estimation rate, improving precision and reliability.
Conclusions:
- The proposed methodology effectively enhances sensor data processing on low-power devices.
- It balances computational load, precision, and reliability for smart sensor applications.
- Maximizes available processing time for other tasks on the microcontroller.
Related Concept Videos
Sampling Theorem
1.4K
In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
1.4K
Linear time-invariant Systems
960
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
960
Feedback control systems
733
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
733
Linear Approximation in Time Domain
379
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
379
Application of Linearization and Approximation
105
A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
105
Second-order Op Amp Circuits
658
Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise. These filters typically involve second-order op-amp circuits configured as voltage followers, encompassing two nodes with distinct storage elements.
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...
The analysis of such circuits follows a systematic approach, similar to the second-order RLC circuits. In practical scenarios, bulky inductors are rarely employed due to their size and weight. This means...
658


