i need to find ECC for 4-MIMO antenna using radiation pattern on CST
Mai S Abdel-Fattah
Follow these steps:
1. Simulate the 4-MIMO antenna design in CST:
- Create the 4-MIMO antenna model in CST.
- Simulate the antenna and obtain the 3D radiation patterns for each port.
2. Extract the radiation pattern data:
- From the simulation results, export the 3D radiation pattern data for each port of the 4-MIMO antenna.
- The radiation pattern data should include the complex electric field (E-field) components in the spherical coordinate system (E_theta and E_phi) for each port.
3. Calculate the ECC:
- The ECC between any two ports of the 4-MIMO antenna can be calculated using the following formula:
```
ECC = |∫(E1_theta * E2_theta* + E1_phi * E2_phi*) dΩ|^2 / (∫|E1|^2 dΩ * ∫|E2|^2 dΩ)
```
Where:
- E1_theta and E1_phi are the complex E-field components for port 1.
- E2_theta and E2_phi are the complex E-field components for port 2.
- The integration is performed over the entire solid angle (dΩ).
- The * denotes the complex conjugate.
4. Implement the ECC calculation:
- You can use a programming language of your choice (e.g., MATLAB, Python, or C++) to implement the ECC calculation using the exported radiation pattern data.
- Ensure that the integration is performed correctly over the entire solid angle (e.g., using numerical integration techniques).
5. Repeat the ECC calculation for all unique pairs of ports:
- Calculate the ECC for each unique pair of ports in the 4-MIMO antenna design.
- This will result in a 4x4 ECC matrix, where the diagonal elements represent the self-correlation (which should be 1) and the off-diagonal elements represent the correlation between different ports.
The ECC values obtained should be within the range of 0 to 1, where 0 represents no correlation and 1 represents perfect correlation.
Good luck! partial credit AI
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