RS coding link BER simulation¶

As we know that the Down link of voyage 1 use the RS coding when it navigated near the Uranus and Neptune. We change the coding module with RS coding.
We simulate the BER with 4 RScoding:

• RS (15,11,2) coding rate = 0.73
• RS (255,233,11) coding rate = 0.913
• RS (255,239,8) coding rate = 0.937
• RS (204,188,8) coding rate = 0.92 (shorten from ) RS

The interface of simulate is shown as following:

And we get the simulate BER data with RS coding as shown in the table below:

We draw then all BER curves with several RS coding is shown in the figure below:

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.
But the RS coding rate is about 0.9, if decrease the coding rate we will get more coding gain.
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.