RS coding link BER simulation » History » Version 9
ABDALLAH, Hussein, 03/23/2016 02:39 PM
| 1 | 1 | ABDALLAH, Hussein | h1. RS coding link BER simulation |
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| 2 | 1 | ABDALLAH, Hussein | |
| 3 | 1 | ABDALLAH, Hussein | As we know that the Down link of voyage 1 use the RS(Reed–Solomon) coding when it navigated near the Uranus and Neptune. We change the coding module with RS coding. |
| 4 | 1 | ABDALLAH, Hussein | We simulate the BER with 4 RScoding: |
| 5 | 1 | ABDALLAH, Hussein | |
| 6 | 2 | ABDALLAH, Hussein | * RS (15,11,2) coding rate = 0.73 |
| 7 | 2 | ABDALLAH, Hussein | * RS (255,233,11) coding rate = 0.913 |
| 8 | 2 | ABDALLAH, Hussein | * RS (255,239,8) coding rate = 0.937 |
| 9 | 2 | ABDALLAH, Hussein | * RS (204,188,8) coding rate = 0.92 (shorten from ) RS(255,239,8) |
| 10 | 1 | ABDALLAH, Hussein | |
| 11 | 1 | ABDALLAH, Hussein | The interface of simulate is shown as following: |
| 12 | 3 | ABDALLAH, Hussein | !Communication_chain_interface_with_RS.jpg! |
| 13 | 4 | ABDALLAH, Hussein | |
| 14 | 4 | ABDALLAH, Hussein | And we get the simulate BER data with RS coding as shown in the table below: |
| 15 | 4 | ABDALLAH, Hussein | |
| 16 | 5 | ABDALLAH, Hussein | !BPSK_simulation_with_RS_results.jpg! |
| 17 | 6 | ABDALLAH, Hussein | |
| 18 | 7 | ABDALLAH, Hussein | We draw then all BER curves with several RS coding is shown in the figure below: |
| 19 | 6 | ABDALLAH, Hussein | |
| 20 | 6 | ABDALLAH, Hussein | !BER_with_RS.jpg! |
| 21 | 8 | ABDALLAH, Hussein | |
| 22 | 9 | ABDALLAH, Hussein | We can see from the figure above that the gain of RS coding is about *3 dB* with *BER = 1exp-5*, so the coding gain is much better than Golay coding which is about *1dB*. |
| 23 | 8 | ABDALLAH, Hussein | But the RS coding rate is about 0.9, if decrease the coding rate we will get more coding gain. |
| 24 | 8 | ABDALLAH, Hussein | So as an improvement, we decide to use a cascade coding in the next step in order to decrease the coding rate to 0.5 or 0.6. |