In short: Linearity, repeatability and phase lag describe how faithfully a digital sensor reproduces the input it measures. Linearity is the deviation of output from a straight-line response, expressed as a percentage of full scale; repeatability is the spread, usually standard deviation, of repeated readings under identical input; phase lag is the delay between an event and the sensor's output, measured in degrees or time with a sinusoidal test signal.
Digital sensors are the backbone of effective real-time monitoring systems, especially in fields where accuracy and responsiveness are crucial, such as seismic monitoring, structural health assessment, and environmental monitoring. Key performance characteristics—linearity, repeatability, and phase lag—define a sensor’s accuracy, consistency, and responsiveness. Understanding these factors and how they are measured can help ensure the reliability of monitoring systems and the quality of data collected.
Linearity: What It Is and How to Measure It
Definition: Linearity indicates how accurately a sensor’s output follows a straight line relative to the input. Ideally, a sensor should have a direct, proportional relationship between input and output across its full range, meaning that changes in the input yield corresponding, linear changes in the output. However, sensors often deviate from this ideal, impacting their linearity.
Measurement: To measure linearity, test the sensor across its entire measurement range and compare its output to the ideal linear response. Deviations from this line can be quantified as a percentage of the full-scale output. Lower deviation percentages signify higher linearity, making the sensor more reliable for precision measurements.
Importance for Real-Time Monitoring: Linearity ensures the sensor output consistently reflects the actual value of the measured phenomenon, which is crucial in applications like seismic monitoring. Accurate linearity enables sensors to capture ground motion amplitudes precisely, providing essential data for analyzing seismic waves and predicting potential impacts.
Repeatability: What It Is and How to Measure It
Definition: Repeatability is the sensor’s ability to produce the same output under identical conditions over multiple measurements. High repeatability signifies consistent, reliable data collection, which is vital for any monitoring application.
Measurement: To assess repeatability, the sensor is exposed to the same input several times while recording each output. The variations in these measurements are quantified, often using standard deviation. Smaller variations indicate higher repeatability, demonstrating the sensor’s ability to provide consistent results under similar conditions.
Importance for Real-Time Monitoring: High repeatability ensures consistent data, vital in real-time monitoring applications like earthquake early warning systems or structural health monitoring. Reliable, repeatable data builds confidence in the monitoring system’s accuracy, supporting timely and well-informed decision-making.
Phase Lag: What It Is and How to Measure It
Definition: Phase lag, or phase delay, is the time delay between a sensor’s output and the occurrence of the measured event. A low phase lag indicates that the sensor can quickly respond to changes, an essential trait for systems monitoring dynamic or rapidly shifting environments.
Measurement: Phase lag can be measured by applying a known waveform, such as a sinusoidal signal, to the sensor and recording the output’s response time. The phase difference between the input and output is quantified in degrees or time units. A smaller phase lag value indicates a faster response, ensuring the sensor’s output stays in sync with real-time changes.
Importance for Real-Time Monitoring: For critical monitoring applications, phase lag can compromise the reliability of data. In seismic monitoring, a delay in sensor response can affect wave propagation analysis, making low phase lag essential to real-time applications. When phase lag is minimized, data more accurately reflects real-world events, supporting rapid response actions during emergencies.
QuakeLogic’s New QL-MINI and QL-MINI-SHM Sensors
At QuakeLogic, we are excited to introduce our latest additions to our seismic and structural health monitoring (SHM) product line: the QL-MINI and QL-MINI-SHM sensors. These compact, high-performance digital sensors are engineered to offer unmatched precision in real-time monitoring applications, making them ideal for infrastructure, geotechnical, and environmental monitoring.
QL-MINI: Designed for versatility and efficiency, the QL-MINI combines compactness with high accuracy, making it ideal for a range of monitoring applications. With its exceptional linearity and repeatability, the QL-MINI provides consistent data and minimal phase lag, ensuring precise, real-time insights for critical applications.
QL-MINI-SHM: Tailored specifically for structural health monitoring, the QL-MINI-SHM sensor provides advanced data fidelity with ultra-low phase lag and superior repeatability. It’s ideal for monitoring structural integrity, ensuring safety and resilience in buildings, bridges, and other critical infrastructure.

Both QL-MINI and QL-MINI-SHM models are designed to meet the rigorous demands of real-time monitoring, providing the highest levels of accuracy, consistency, and responsiveness. By choosing QuakeLogic’s sensors, you’re investing in state-of-the-art technology that supports proactive maintenance and risk mitigation, offering peace of mind through high-quality, reliable data.
About QuakeLogic
QuakeLogic is a leading provider of advanced seismic monitoring solutions, offering a range of products and services designed to enhance the accuracy and efficiency of seismic data acquisition and analysis. Our innovative technologies and expert support help organizations worldwide to better understand and mitigate the impacts of seismic events.
Contact Information
Emailto:sales@quakelogic.net
Phone: +1-916-899-0391
WhatsApp: +1-650-353-8627
Website: www.quakelogic.net
For more information about our products and services, please visit our website or contact our sales team. We are here to help you with all your seismic monitoring needs.
Thank you for choosing QuakeLogic. We look forward to assisting you with your seismic monitoring projects.
Key Takeaways
- Linearity is measured by sweeping the full input range and quoting deviation from the ideal line as a percentage of full-scale output.
- Repeatability is quantified as the standard deviation of outputs from repeated identical inputs; smaller spread means more consistent data.
- Phase lag is measured by applying a known sinusoid and comparing input and output phase in degrees or time units.
- Low phase lag keeps sensor output synchronous with ground motion, which matters for wave propagation analysis and earthquake early warning.
- QuakeLogic's QL-MINI and QL-MINI-SHM are compact digital sensors designed for high linearity, repeatability and ultra-low phase lag.
Frequently Asked Questions
Sensor linearity describes how closely output follows a straight, proportional line relative to input across the full measurement range. To measure it, the sensor is tested across its entire range and the output is compared with the ideal linear response; the deviation is expressed as a percentage of full-scale output. Lower deviation means higher linearity and more accurate amplitude measurement, for example of ground motion.
Linearity concerns accuracy across the range: whether the output tracks the input proportionally. Repeatability concerns consistency: whether the same input produces the same output on repeated trials. A sensor can be repeatable but non-linear (consistently off by a known curve) or linear but noisy. Repeatability is measured by applying an identical input several times and computing the standard deviation of the outputs.
Phase lag, or phase delay, is the time delay between the occurrence of the measured event and the sensor's output. It is measured by applying a known waveform such as a sinusoid and quantifying the phase difference between input and output in degrees or time units. Low phase lag means the sensor responds quickly and its output stays in sync with real-time changes.
In seismic monitoring and earthquake early warning, timing is everything. A delayed sensor response distorts wave propagation analysis, misaligns arrivals between stations and slows the alerts that trigger protective actions. Minimizing phase lag ensures recorded data reflects real-world events as they happen, supporting rapid response during emergencies and accurate structural assessment in SHM systems.
The QL-MINI and QL-MINI-SHM are QuakeLogic's compact digital sensors for seismic, geotechnical, environmental and structural health monitoring. The QL-MINI is a general-purpose unit designed for high linearity and repeatability with minimal phase lag; the QL-MINI-SHM is tailored to structural health monitoring of buildings and bridges, with ultra-low phase lag and superior repeatability for real-time integrity assessment.
Related Articles
Need help with a project? QuakeLogic designs and supplies seismic monitoring, earthquake early warning, structural health monitoring, infrasound, and shake table systems. Browse QuakeLogic products or contact our engineering team with your site, structure, or test requirements.






