Link Budgets
ES Link (uplink: code instructions)
Attenuations-267.9dB
TX antenna gain69.8 dBi
Transmit power4kW [1]
36 dBW
RX antenna gain40.7 dBi
Received power-130.2 dBW
Noise power-152 dBW
    System noise temp.150 K
CNR21.8 dB
 
ES Link (downlink: seismic data)
Attenuations-227.9 dB
TX antenna gain42.0 dBi
Transmit power200 W
23.0 dBW
RX antenna gain71.0 dBi
Received power-141.9 dBW
Noise power-152 dBW
    System noise temp.150 K
CNR10.1 dB
 
As mentioned before, the ES link operates in X-band, where the uplink is at 7.3 GHz and the downlink is at 8.4 GHz. For the free-space pathloss, the average distance between Venus and Earth is considered, which is 1.5 AU (atmospheric unit) or 224,000,000 km. Using these values, the attenuation is calculated as


The satellite antenna has 1.3 meters of diameter with efficiency 0.6. The DSN antenna has 34 meters diameter with efficiency 0.7. The antenna gain G of the appropriate antenna is calculated as


where

Moreover, The thermal noise power is calculated as


where k is the Boltzmann's constant, B is the bandwidth. To achieve as high CNR as possible, we employ a BPSK modulation and the half-rate turbocode. A raised-cosine filterwith roll-off factor 0.5 is used as the pulse to achieve a RF bandwidth of 300kHz.

 
SV Link (uplink: VIRGILs to Satellite)
EIRP277 MW / 84.4 dBW
Dish antenna gain 30 dBi
RX gain40.7 dBi
SNR-48.5 dB [2]
SV Link (downlink: Satellite to VIRGILs)
TX power23.0 dBW
TX gain40.7 dBi
SNR-47.8 dB [2]
 
As discussed before, the link between the orbiter and VIRGILs operate at 7.3 GHz to achieve the maximum SNR. The SNRs for uplink and downlink are estimated from Figs. 1-2, which shows the measured SNRs vs. the wavelength. Assuming the satellite is directly above the antennas, the incident angle of 0-degree is assumed here.
Figure 1. SNR of downlink signal through Venusian atmosphere [2].

Figure 2. SNR of uplink signal through Venusian atmosphere [2].
 
IV Links (VIRGILs to VIRGILs)
EIRP24kW / 43.8dBW
RX gain85dB
Attenuation (10km)-11dB
Received power18.8dBW
Noise power-144.5dBW
   System noise temp.150K
   Atm. noise temp.740K [2]

Recall that the attenuation over the Venusian atmosphere increases with the frequency. Hence, we chose the lower frequency spectrum to mitigate the pathloss of the signal between two VIRGILs. For calculation, the average distance between two VIRGILs at 10 km is assumed. The temperature of the Venusian atmosphere is found from Fig. 1.

Figure 3. Altitude vs. temperature of the Venusian atmosphere [2].
[1] M. A. Kodis, D. S. Abraham, and D. D. Morabito, "Deep Space C3: High Power Uplinks" http://trs-new.jpl.nasa.gov/dspace/bitstream/2014/37322/1/03-2326.pdf
[2] K. R. Richter, "Propagation of Radio Waves Through the Lower Atmosphere of Venus".