| ... | @@ -10,13 +10,12 @@ _On this picture we can see that the quartz clocks drift much faster than the GN |
... | @@ -10,13 +10,12 @@ _On this picture we can see that the quartz clocks drift much faster than the GN |
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**There are three main regions that can be identified in an Allan deviation plot:**
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**There are three main regions that can be identified in an Allan deviation plot:**
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**- Short-term stability:** This region corresponds to averaging times of less than 1 second. In this region, the Allan deviation is dominated by random noise and is inversely proportional to the square root of the averaging time.
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* **Short-term stability:** This region corresponds to averaging times of less than 1 second. In this region, the Allan deviation is dominated by random noise and is inversely proportional to the square root of the averaging time.
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* **Medium-term stability:** This region corresponds to averaging times between 1 second and 1 day. In this region, the Allan deviation is dominated by the stability of the oscillator or clock.
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**- Medium-term stability:** This region corresponds to averaging times between 1 second and 1 day. In this region, the Allan deviation is dominated by the stability of the oscillator or clock.
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* **Long-term stability:** This region corresponds to averaging times greater than 1 day. In this region, the Allan deviation is dominated by other factors such as aging, temperature effects, and environmental disturbances.
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**- Long-term stability:** This region corresponds to averaging times greater than 1 day. In this region, the Allan deviation is dominated by other factors such as aging, temperature effects, and environmental disturbances.
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Allan variance is useful for measuring the stability and accuracy of a time and frequency signal over different time scales. It allows for the identification of different sources of error and instability, such as short-term noise, medium-term oscillator stability, and long-term environmental effects. Additionally, Allan variance can be used to compare the performance of different oscillators or clocks, and to determine the optimal averaging time for a specific application.
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Allan variance is useful for measuring the stability and accuracy of a time and frequency signal over different time scales. It allows for the identification of different sources of error and instability, such as short-term noise, medium-term oscillator stability, and long-term environmental effects. Additionally, Allan variance can be used to compare the performance of different oscillators or clocks, and to determine the optimal averaging time for a specific application.
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#### Sources :
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#### Sources :
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- Calero, D., & Fernandez, E., & Parés, E. (2016) Positioning performance of Chip-Scale Atomic Clock GNSS augmentation systems. [https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7849326](https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7849326) |
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- Calero, D., & Fernandez, E., & Parés, E. (2016) Positioning performance of Chip-Scale Atomic Clock GNSS augmentation systems. https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7849326 |
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