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* FEC_K and FEC_N * FEC_K and FEC_N
FEC_K and FEC_N are parameters used in Forward Error Correction (FEC) to define the structure and efficiency of error correction codes. FEC_K and FEC_N are parameters used in Forward Error Correction (FEC) to define the structure and efficiency of error correction codes.
#### FEC_K #### FEC_K
K refers to the number of information (or data) bits in a block before error correction encoding is applied. K refers to the number of information (or data) bits in a block before error correction encoding is applied.
This is the actual data that needs to be transmitted without any redundancy added for error correction. This is the actual data that needs to be transmitted without any redundancy added for error correction.
#### FEC_N #### FEC_N
N refers to the total number of bits after error correction encoding has been applied. N refers to the total number of bits after error correction encoding has been applied.
This includes both the original data bits (K) and the redundant bits that are added for error detection and correction. This includes both the original data bits (K) and the redundant bits that are added for error detection and correction.
Relationship Between FEC_K and FEC_N Relationship Between FEC_K and FEC_N
The difference between N and K represents the redundancy added by the error correction code. In other words, the redundant bits are used to detect and correct errors in the transmitted data. The difference between N and K represents the redundancy added by the error correction code. In other words, the redundant bits are used to detect and correct errors in the transmitted data.
```mathematica ```mathematica
N = K + Number of Redundant Bits N = K + Number of Redundant Bits
``` ```
Example Example
If FEC_K = 1000 and FEC_N = 1200, this means 200 redundant bits were added to the original 1000 data bits, creating a total of 1200 transmitted bits. If FEC_K = 1000 and FEC_N = 1200, this means 200 redundant bits were added to the original 1000 data bits, creating a total of 1200 transmitted bits.
Code Rate Code Rate
The ratio of information bits (K) to the total bits (N) is called the code rate: The ratio of information bits (K) to the total bits (N) is called the code rate:
```mathematica ```mathematica
Code Rate = K / N Code Rate = K / N
``` ```
For example, if K = 1000 and N = 1200, the code rate would be: For example, if K = 1000 and N = 1200, the code rate would be:
```yaml ```yaml
Code Rate = 1000 / 1200 = 0.833 Code Rate = 1000 / 1200 = 0.833
``` ```
This means that 83.3% of the transmitted bits are actual data, and 16.7% are used for error correction. This means that 83.3% of the transmitted bits are actual data, and 16.7% are used for error correction.
#### Usage in Communication Systems #### Usage in Communication Systems