Abstract
In wireless communication systems reducing bit/frame/symbol error rate is critical. If bit error rates are high then in wireless communication system our aim is to minimize error by employing various coding methods on the data transferred. Various channel coding for error detection and correction helps the communication system designers to reduce the effects of a noisy data transmission channel. In this paper our focus is to study and analysis of the performance of Reed-Solomon code that is used to encode the data stream in digital communication. The performances were evaluated by applying to different phase sift keying (PSK) modulation scheme in Noisy channel. Reed-Solomon codes are one of the best for correcting burst errors and find wide range of applications in digital communications and data storage. Reed-Solomon codes are good coding technique for error correcting, in which redundant information is added to data so that it can be recovered reliably despite errors in transmission or retrieval. The error correction system used is based on a Reed-Solomon code. These codes are also used on satellite and other communications systems.Â
Highlights
In coding theory Reed–Solomon (RS) codes are cyclic error correcting codes invented by Irving S.Reed and Gustave Solomon
The decoded frames and transmitted frames are applied to the Frame error rate or bit error rate (FER/Bit Error Rate (BER)) to calculate the errors
RS coded M-phase sift keying (PSK) schemes for a given number of transmit antennas and memory order are designed by applying the design criteria
Summary
In coding theory Reed–Solomon (RS) codes are cyclic error correcting codes invented by Irving S.Reed and Gustave Solomon. Reed-Solomon codes are block-based error correcting codes with a wide range of applications in digital communications and storage. It has good performance in fading channel which have more burst errors. They described a systematic way of building codes that could detect and correct multiple random errors. By adding t check or parity symbols for ((n, k) code where t= (n-k)/2), to the data, an RS code can detect any combination of up to t erroneous symbols, and correct up to (t/2) symbols. Reed-Solomon codes are used to correct errors in many systems like: Digital Television
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