Application of Galois field for Error Correction in OCDMA based Wireless Infrared Communications

Wireless infrared systems are used for many wireless applications as they provide large bandwidth, inherent security and less fading. Errors are caused due to background light, which causes degradation of overall system performance. Error correction techniques are used to remove the errors caused during transmission. The Reed-Solomon codes are famous for many commercial applications. In this work, the software implementation is performed in MATLAB. In general, the data are encoded with Reed-Solomon codes and then decoded with the Euclid algorithm or the Berlekamp-Massey Algorithm. The Reed Solomon codes are generated using a Galois field. The Galois field is finite field. This paper provides a brief account of implementation and discussion of Galois field as applied for encoding and decoding. The algorithm is analysed for Bit Error Rate (BER), Signal to noise ratio (SNR), Coding gain and channel bit error rate. Different sample lengths are used to compare the run time and error rate for each. Some results are provided to show the result of algorithm applied.