Table of Contents
Where are Reed-Solomon codes used?
Reed-Solomon codes are used to correct errors in many systems including:
- Storage devices (including tape, Compact Disk, DVD, barcodes, etc)
- Wireless or mobile communications (including cellular telephones, microwave links, etc)
- Satellite communications.
- Digital television / DVB.
- High-speed modems such as ADSL, xDSL, etc.
How does Reed-Solomon code work?
Reed–Solomon codes are able to detect and correct multiple symbol errors. By adding t = n − k check symbols to the data, a Reed–Solomon code can detect (but not correct) any combination of up to t erroneous symbols, or locate and correct up to ⌊t/2⌋ erroneous symbols at unknown locations.
Is Reed-Solomon code a cyclic code?
The Reed-Solomon code is cyclic. n−k i=1 (x − αi). k i=0 hixi such that gh = xn − 1. (1) 3 Page 4 is a (n−k)×n matrix of parity checks of C, and because it has the correct rank n−k it is a parity check matrix of C.
What is a Reed-Solomon code?
A Reed-Solomon (RS) code is an error-correcting code first described in a paper by Reed and Solomon in 1960 [9]. Since that time they’ve been applied in CD-ROMs, wireless communications, space communications, DSL, DVD, and digital TV.
What are the characteristics of the R EED -Solomon code?
the characteristics of the R eed -Solomon code. Optical Communication to reduce the noise level using RS-Codes in FEC. calculated from data words. These calculations of checksum words are done in such a way that we can recover any m no. of errors out of n + m data words. C i = F i (d 1, d 2, d 3, …, d n ).
How do you find the unique value of X in Reed-Solomon codes?
Since the code has distance d, this matrix must lecture 4: reed-solomon codes 2 be full rank, and so it is enough to find the unique value of x such that G0x = y. This can be done by Gaussian elimination in time O(n3). Reed-Solomon Codes Reed-Solomon codes are the most beautiful of all codes.
What is the difference between Reed-Solomon and BPSK?
Reed-Solomon rate 7/8 decoder performa nce as a function of symbol size. Reed-Solomon (64, k) decoder performance as a function of redundancy. BPSK plus Reed-Solomon (31, k) decoder performance as a function of code rate. fields known as Galois Fields (GF).