Jointly Optimized Design of Distributed RS Codes by Proper Selection in Relay

This paper proposes a distributed RS coding scheme which is comprised of two different ReedSolomon (RS) codes over fast Rayleigh fading channel. Practically in any distributed coding scheme, an appropriate encoding strategy at the relay plays a vital role in achieving an optimized code at the destination. Therefore, the authors have proposed an efficient approach for proper selection of information at the relay based on subspace approach. Using this approach as the proper benchmark, another more practical selection approach with low complexity is also proposed. Monte Carlo simulations demonstrate that the distributed RS coding scheme under the two approaches can achieve nearly the same bit error rate (BER) performance. Furthermore, to jointly decode the source and relay codes at the destination, two different decoding algorithms named as naive and smart algorithms are proposed. The simulation results reveal that the advantage of smart algorithm as compared to naive one. The proposed distributed RS coding scheme with smart algorithm outperforms its non-cooperative scheme by a gain of 2.4-3.2 dB under identical conditions. Moreover, the proposed distributed RS coding scheme outperforms multiple existing distributed coding schemes, making it an excellent candidate for the future distributed coding wireless communications.

Evaluation of the Performance of a Reed Solomon Coded STBC MIMO System Concatenated with MPSK and MQAM in Different Channels

Background & Objective: Wireless technologies like Wi-Fi, WiMAX, and LTE are using Multiple Input, Multiple Output (MIMO) communications that play an important role in achieving high data rates. Bit Error Rate (BER) is one of the most important performance parameters in multipath channels for data communication. Methods: This research proposes a new method based on Reed Solomon (RS) coding to improve the efficacy of a Space-Time Block Coded (STBC) MIMO System concatenated with M-ary Phase Shift Keying (MPSK) and M-ary Quadrature Amplitude Modulation (MQAM) in reducing BER in Rayleigh, Rician and Nakagami channels. It is based on the error detection and correction properties intrinsic to RS coding processes. Binary data is coded using an RS encoder and the modulated signal STBC encoded and transmitted through Rayleigh, Rician and Nakagami channels. Signals received by two antennas are STBC decoded, demodulated, RS decoded and tested for BER. Results & Conclusion: Results show lower BER rates for RS Coded systems as compared for uncoded systems in all three channels. In addition, it was found that reduction in BER is greater for high Signal to Noise Ratio (SNR) but deteriorates for low SNR. Furthermore, this research observed that RS coding gives 63% to 98% improvement in BER in the Rayleigh as compared to Rician and Nakagami channels. This research has been able to successfully incorporate the BER reduction of STBC MIMO to further enhance the efficacy of an STBC MIMO system.

Forward Error Correction For Gigabit Automotive Ethernet using RS(450,406) Encoder

Error correction and detection during data transmission is a major issue. For resolving this, many error correction techniques are available. The Reed-Solomon coding is the most powerful forward error correction technique used in Gigabit Automotive Ethernet to compact channel noise during data transmission. The car becomes more smarter day by day and more new advanced electronics is being used in-vehicle. Gigabit Automotive Ethernet(1000BASE-T1) provide fast bandwidth for many kinds of applications and connect different functional parts in the car. The Reed Solomon(RS) coding is the powerful forward error correction(FEC) technique used in 1000BASE-T1 Automotive Ethernet. RS(450,406) coding is also known as shortened Reed Solomon codes. The Reed Solomon(RS) codes are generally used in communication system due to its ability of correcting both random and burst errors. Reed Solomon codes are no-binary systematic linear block codes. RS coding is widely used in high speed communication system. This RS code is implemented using Galois field(GF). The Automotive Ethernet is encoded using RS(450,406) codes through GF(512) for FEC. This RS codes can corrects the error up to t=22 symbol, while other encoding techniques corrects the error in t bits. In this paper we implemented the RS(Reed Solomon) code in Cadence ncsim Verilog software and used Cadence Simvision for showing timing diagrams. This RS code uses 9-bit based shortened (450,406) code.

A Distributed Storage Algorithm Based on Cauchy RS Code

Data fault tolerance is a key technology in the field of distributed storage. In this paper, an algorithm to encode massive amounts of data and then distribute storage these data on each node in the data center is proposed, aiming at coping with the serious challenges in the protection of data fault tolerance. The method converts multiplication operation in Cauchy RS coding into a binary multiplication through the transition on bit operation, so that the entire operation on RS encoding is converted to an operation containing only simple XOR operator. The experiment proves that the method is better than the copy and the original RS coding in the data encoding efficiency. Furthermore, it saves the storage space and promotes the application of erasure codes strongly in distributed storage field.