Systems and methods for improved accuracy in determining altitude from pressure

1. A method for estimating an altitude of a first pressure sensor at a first location, the method comprising:

determining whether a measurement of humidity from a humidity sensor meets a threshold humidity condition or whether a measurement of temperature from a temperature sensor meets a threshold temperature condition; and

computing an estimate of the altitude of the first pressure sensor using a first measurement of pressure from the first pressure sensor at the first location, a second measurement of pressure from a second pressure sensor at a second location, an altitude of the second pressure sensor, the measurement of temperature from the temperature sensor, and either (1) a computed gas constant value that is based on the measurement of humidity from the humidity sensor, or (2) a predefined gas constant value that is not based on the measurement of humidity,

wherein the estimate of the altitude of the first pressure sensor is computed using (1) the computed gas constant value when the measurement of humidity meets the threshold humidity condition or when the measurement of temperature meets the threshold temperature condition, or (2) the predefined gas constant value when the measurement of humidity does not meet the threshold humidity condition or when the measurement of temperature does not meet the threshold temperature condition.

2. The method of claim 1 , wherein the method comprises:

determining whether the measurement of humidity meets the threshold humidity condition;

computing, when the measurement of humidity meets the threshold humidity condition, the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity; and

computing, when the measurement of humidity does not meet the threshold humidity condition, the estimate of the altitude of the first pressure sensor using the predefined gas constant value that is not based on the measurement of humidity.

3. The method of claim 2 , wherein the measurement of humidity meets the threshold humidity condition when the measurement of humidity exceeds a predefined humidity value.

4. The method of claim 3 , wherein the method comprises:

using the measurement of temperature to identify the predefined humidity value.

5. The method of claim 1 , wherein the method comprises:

determining whether the measurement of temperature meets a threshold temperature condition;

computing, when the measurement of temperature meets the threshold temperature condition, the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity; and

computing, when the measurement of temperature does not meet the threshold temperature condition, the estimate of the altitude of the first pressure sensor using the predefined gas constant value that is not based on the measurement of humidity.

6. The method of claim 5 , wherein the measurement of temperature meets the threshold temperature condition when the measurement of temperature exceeds a predefined temperature value.

7. The method of claim 6 , wherein the method comprises:

using the measurement of humidity to identify the predefined temperature value.

8. The method of claim 1 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the predefined gas constant value that is not based on the measurement of humidity;

determining an adjustment for the estimate of the altitude using the measurement of humidity; and

adjusting the estimate of the altitude using the adjustment.

9. The method of claim 1 , wherein the humidity sensor, the temperature sensor and the second pressure sensor are located within 6 meters of each other.

10. The method of claim 1 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity.

11. The method of claim 2 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity.

12. The method of claim 5 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity.

13. The method of claim 1 , wherein the predefined gas constant value is a gas constant value for dry air, and the computed gas constant value is computed by applying a multiplier to the gas constant value for dry air.

14. The method of claim 1 , wherein the computed gas constant value is computed as being equal to R_da*(1+1.609*x)/(1+x), where R_da is a gas constant value for dry air, and x is a humidity ratio.

15. The method of claim 14 , wherein the humidity ratio x is equal to 0.62198*φ*p_ws/(p_a−φ*p_ws), where p_ws is a water vapor saturation pressure, p_a is a measured air pressure, and φ is the measurement of humidity.

16. The method of claim 1 , wherein one or more processors compute the estimate of the altitude using the following mathematical relationships: (R*T/g)*ln(P_ 2 /P_ 1 ), where P_ 2 is the second measurement of pressure or a sea-level pressure calculated using both the second measurement of pressure and the altitude of the second pressure sensor, P_ 1 is the first measurement of pressure, T is the measurement of temperature, g is acceleration due to gravity, and R is either the computed gas constant value or the predefined gas constant value.

17. One or more non-transitory processor-readable media embodying program instructions that, when executed by one or more processors, cause the one or more processors to implement a method for estimating an altitude of a first pressure sensor at a first location, the method comprising:

determining whether a measurement of humidity from a humidity sensor meets a threshold humidity condition or whether a measurement of temperature from a temperature sensor meets a threshold temperature condition; and

computing an estimate of the altitude of the first pressure sensor using a first measurement of pressure from the first pressure sensor at the first location, a second measurement of pressure from a second pressure sensor at a second location, an altitude of the second pressure sensor, the measurement of temperature from the temperature sensor, and either (1) a computed gas constant value that is based on the measurement of humidity from the humidity sensor, or (2) a predefined gas constant value that is not based on the measurement of humidity,

wherein the estimate of the altitude of the first pressure sensor is computed using (1) the computed gas constant value when the measurement of humidity meets the threshold humidity condition or when the measurement of temperature meets the threshold temperature condition, or (2) the predefined gas constant value when the measurement of humidity does not meet the threshold humidity condition or when the measurement of temperature does not meet the threshold temperature condition.

18. The one or more non-transitory processor-readable media of claim 17 , wherein the method comprises:

determining whether the measurement of humidity meets the threshold humidity condition;

computing, when the measurement of humidity meets the threshold humidity condition, the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity; and

computing, when the measurement of humidity does not meet the threshold humidity condition, the estimate of the altitude of the first pressure sensor using the predefined gas constant value that is not based on the measurement of humidity.

19. The one or more non-transitory processor-readable media of claim 18 , wherein the measurement of humidity meets the threshold humidity condition when the measurement of humidity exceeds a predefined humidity value.

20. The one or more non-transitory processor-readable media of claim 19 , wherein the method comprises:

using the measurement of temperature to identify the predefined humidity value.

21. The one or more non-transitory processor-readable media of claim 17 , wherein the method comprises:

determining whether the measurement of temperature meets a threshold temperature condition;

computing, when the measurement of temperature meets the threshold temperature condition, the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity; and

computing, when the measurement of temperature does not meet the threshold temperature condition, the estimate of the altitude of the first pressure sensor using the predefined gas constant value that is not based on the measurement of humidity.

22. The one or more non-transitory processor-readable media of claim 21 , wherein the measurement of temperature meets the threshold temperature condition when the measurement of temperature exceeds a predefined temperature value.

23. The one or more non-transitory processor-readable media of claim 22 , wherein the method comprises:

using the measurement of humidity to identify the predefined temperature value.

24. The one or more non-transitory processor-readable media of claim 17 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the predefined gas constant value that is not based on the measurement of humidity;

determining an adjustment for the estimate of the altitude using the measurement of humidity; and

adjusting the estimate of the altitude using the adjustment.

25. The one or more non-transitory processor-readable media of claim 17 , wherein the humidity sensor, the temperature sensor and the second pressure sensor are located within 6 meters of each other.

26. The one or more non-transitory processor-readable media of claim 17 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity.

27. The one or more non-transitory processor-readable media of claim 18 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity.

28. The one or more non-transitory processor-readable media of claim 21 , wherein the method comprises:

computing the estimate of the altitude of the first pressure sensor using the computed gas constant value that is based on the measurement of humidity.

29. The one or more non-transitory processor-readable media of claim 17 , wherein the predefined gas constant value is a gas constant value for dry air, and the computed gas constant value is computed by applying a multiplier to the gas constant value for dry air.

30. The one or more non-transitory processor-readable media of claim 17 , wherein the computed gas constant value is computed as being equal to R_da*(1+1.609* x)/(1+x), where R_da is a gas constant value for dry air, and x is a humidity ratio.

31. The one or more non-transitory processor-readable media of claim 30 , wherein the humidity ratio x is equal to 0.62198*φ*p_ws/(p_a-φ*p_ws), where p_ws is a water vapor saturation pressure, p_a is a measured air pressure, and φ is the measurement of humidity.

32. The one or more non-transitory processor-readable media of claim 20 , wherein the estimate of the altitude is computed using the following mathematical relationships: (R*T/g) * ln(P_ 2 /P_ 1 ), where P_ 2 is the second measurement of pressure or a sea-level pressure calculated using both the second measurement of pressure and the altitude of the second pressure sensor, P_ 1 is the first measurement of pressure, T is the measurement of temperature, g is acceleration due to gravity, and R is either the computed gas constant value or the predefined gas constant value.

33. A system for estimating an altitude of a first pressure sensor at a first location, wherein the system comprises one or more processors and one or more non-transitory processor-readable media storing instructions that are operable, when executed by the one or more processors, to cause the one or more processors to perform operations comprising:

determining whether a measurement of humidity from a humidity sensor meets a threshold humidity condition or whether a measurement of temperature from a temperature sensor meets a threshold temperature condition; and

computing an estimate of the altitude of the first pressure sensor using a first measurement of pressure from the first pressure sensor at the first location, a second measurement of pressure from a second pressure sensor at a second location, an altitude of the second pressure sensor, the measurement of temperature from the temperature sensor, and either (1) a computed gas constant value that is based on the measurement of humidity from the humidity sensor, or (2) a predefined gas constant value that is not based on the measurement of humidity,

wherein the estimate of the altitude of the first pressure sensor is computed using (1) the computed gas constant value when the measurement of humidity meets the threshold humidity condition or when the measurement of temperature meets the threshold temperature condition, or (2) the predefined gas constant value when the measurement of humidity does not meet the threshold humidity condition or when the measurement of temperature does not meet the threshold temperature condition.