Documentation
Skaha-Drone
Skaha-Drone
  • Introduction: Digital L-Band (1.4 GHz) Polarimeter for UAVs
  • Microwave Polarimetry
    • Radio Wave Polarization
  • Technical Description
    • Mounting Options
    • Antenna
    • Control Unit
    • RF Signal Chain
    • A/D Converter and Digital Correlator
    • Receiver Noise Temperature
    • Internal Calibration
    • Radio Interference Filter
  • Ground Station and User Interface
    • Ground Station
    • Labels and Tags
    • Status
    • Settings
    • Rawdata
    • Map
    • Internal
  • Online Processing
    • Introduction
    • Sanity Check and Filtering
    • Gain Calibration
    • Conversion to Volumetric Water Content
    • Data Storage in Google Drive
  • Working with the Sensor and Data
    • HDF5 File Structure
    • Python Scripts
    • Test Observations
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  • Gain Calibration
  • Receiver Noise Variability
  • Calculation of Soil Brightness Temperature
  1. Technical Description

Internal Calibration

The process of using a reference load for internal calibration is explained.

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Last updated 5 months ago

Gain Calibration

The RF switch uses a Dicke switch method to measure the signal power coming from the antenna and the reference signal from a 50-ohm load (resistor). The switch alternates between the two signals. Each setting has an integration time of 350 ms.

During data acquisition, the physical temperature of the reference signal may vary, causing the noise power generated by the load to fluctuate as well. A precise temperature sensor is placed next to the resistor to keep track of the physical temperature of the load accurately. The noise power generated by a load is directly proportional to its physical temperature, which makes it essential to monitor the temperature of the load during data acquisition.

For the calibration, the correlation products of the signal from the antenna (the soil signal) are divided by the reference signal and then multiplied by the physical temperature TphysT_\mathrm{phys}Tphys​ of the resistor:

HH′(K)=Tphys(K)⋅HHantHHref\mathrm{HH}' (K) = T_{\mathrm{phys}}(K) \cdot \dfrac{\mathrm{HH}_{\mathrm{ant}}}{\mathrm{HH}_{\mathrm{ref}}}HH′(K)=Tphys​(K)⋅HHref​HHant​​,

VV′(K)=Tphys(K)⋅VVantVVcal\mathrm{VV}' (K) = T_{\mathrm{phys}}(K) \cdot \dfrac{\mathrm{VV}_{\mathrm{ant}}}{\mathrm{VV}_{\mathrm{cal}}}VV′(K)=Tphys​(K)⋅VVcal​VVant​​,

and a complex division for the cross-correlation product:

(HV)′(K)=Tphys(K)⋅HVant∗HVcal∗(\mathrm{HV})' (K) = T_{\mathrm{phys}}(K) \cdot \dfrac{\mathrm{HV}^*_{\mathrm{ant}}}{\mathrm{HV}^*_{\mathrm{cal}}}(HV)′(K)=Tphys​(K)⋅HVcal∗​HVant∗​​.

This results in the radiometer rawdata being calibrated as a noise temperature in Kelvin.

Receiver Noise Variability

As previously stated, the amount of noise produced by each electronic receiver component is affected by its physical temperature. Even though we conduct gain calibration, the varying noise contributions of the components can still impact the sensor output levels. To calculate the "noise offsets" caused by temperature variations, we use the following equation (with the same equation for HH and VV correlation products):

Offset(Tphys,HH′)=Tphys (°C)(−4.132⋅10−4⋅HH′+0.4057)\mathrm{Offset}(\mathrm{T}_\mathrm{phys}, \mathrm{HH}') = \mathrm{T}_\mathrm{phys}\,(\degree \mathrm{C}) \left( -4.132\cdot 10^{-4} \cdot \mathrm{HH}' + 0.4057 \right)Offset(Tphys​,HH′)=Tphys​(°C)(−4.132⋅10−4⋅HH′+0.4057)

Note: This is an empirically determined equation, and the physical temperature here needs to be supplied in degrees Celsius!

This offset is then subtracted from the gain-calibrated products as follows:

HHcorr′=HH′−Offset\mathrm{HH}_\mathrm{corr}' = \mathrm{HH}' - \mathrm{Offset}HHcorr′​=HH′−Offset

Calculation of Soil Brightness Temperature

To obtain TsoilT_\mathrm{soil}Tsoil​​, we use the results of the receiver noise measurement in the previous section:

HHsoil (K)=1.67⋅HHcorr′ (K)−198 KHH_\mathrm{soil}\,(\mathrm{K}) = 1.67\cdot \mathrm{HH}_\mathrm{corr}'\,\mathrm{(K)} - 198\,\mathrm{K}HHsoil​(K)=1.67⋅HHcorr′​(K)−198K