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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b914819-4152-4353-8ebc-b14bc0f05ba7%2F4e9a9976-c405-4858-b7a4-83a93e7a3a73%2Fx2ywsnm_processed.jpeg&w=3840&q=75)
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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