Calculate the link budget ( only from Tx to Rx ) for the 12km transmitting distance of 10w power that is applied to the transmitter with antenna gain of 10dBi. The receiver is connected to an antenna with 15dBi gain and a receive sensitivity of -85 dBm. The cables in both systems are short, with a loss of 1 dB at each side at the 13 GHz frequency of

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### Link Budget Calculation for 12km Transmitting Distance

This educational exercise focuses on calculating the link budget (only from Tx to Rx) for a 12km transmitting distance. The following parameters are given and need to be considered for the calculation:

- **Transmitted Power (Pt):** 10 W
- **Transmitter Antenna Gain (Gt):** 10dBi
- **Receiver Antenna Gain (Gr):** 15dBi
- **Receiver Sensitivity (Sr):** -85 dBm
- **Cable Loss (Lc):** 1 dB (each side)
- **Operating Frequency:** 13 GHz

### Step-by-Step Calculation:

1. **Convert Transmitted Power to dBm:**  
   \( P_t = 10 \text{W} \)
   \( P_t(\text{dBm}) = 10 \log_{10}(10 \times 1000) \)
   \( P_t(\text{dBm}) = 40 \text{dBm} \)

2. **Free Space Path Loss (FSPL):**  
   The free space path loss formula is:
   \( FSPL(\text{dB}) = 20 \log_{10}(d) + 20 \log_{10}(f) + 32.44 \)
   Where:
   \( d = 12 \text{km} = 12000 \text{m} \)
   \( f = 13 \text{GHz} = 13000 \text{MHz} \)
   
   Plugging these values in, we get:
   \( FSPL(\text{dB}) = 20 \log_{10}(12000) + 20 \log_{10}(13000) + 32.44 \)
   \( FSPL(\text{dB}) = 81.58 + 82.28 + 32.44 \)
   \( FSPL(\text{dB}) = 196.3 \text{dB} \)

3. **Calculate Link Budget:**
   Using the formula:
   \( \text{Received Power} (P_r) = P_t + G_t + G_r - FSPL - L_t - L_r \)
   
   Where:
   \( L_t = 1 \text{dB} \) (transmitter cable loss)
   \( L_r = 1 \text{d
Transcribed Image Text:### Link Budget Calculation for 12km Transmitting Distance This educational exercise focuses on calculating the link budget (only from Tx to Rx) for a 12km transmitting distance. The following parameters are given and need to be considered for the calculation: - **Transmitted Power (Pt):** 10 W - **Transmitter Antenna Gain (Gt):** 10dBi - **Receiver Antenna Gain (Gr):** 15dBi - **Receiver Sensitivity (Sr):** -85 dBm - **Cable Loss (Lc):** 1 dB (each side) - **Operating Frequency:** 13 GHz ### Step-by-Step Calculation: 1. **Convert Transmitted Power to dBm:** \( P_t = 10 \text{W} \) \( P_t(\text{dBm}) = 10 \log_{10}(10 \times 1000) \) \( P_t(\text{dBm}) = 40 \text{dBm} \) 2. **Free Space Path Loss (FSPL):** The free space path loss formula is: \( FSPL(\text{dB}) = 20 \log_{10}(d) + 20 \log_{10}(f) + 32.44 \) Where: \( d = 12 \text{km} = 12000 \text{m} \) \( f = 13 \text{GHz} = 13000 \text{MHz} \) Plugging these values in, we get: \( FSPL(\text{dB}) = 20 \log_{10}(12000) + 20 \log_{10}(13000) + 32.44 \) \( FSPL(\text{dB}) = 81.58 + 82.28 + 32.44 \) \( FSPL(\text{dB}) = 196.3 \text{dB} \) 3. **Calculate Link Budget:** Using the formula: \( \text{Received Power} (P_r) = P_t + G_t + G_r - FSPL - L_t - L_r \) Where: \( L_t = 1 \text{dB} \) (transmitter cable loss) \( L_r = 1 \text{d
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