Read-solomon decoder and decoding method
A decoder and expander technology, applied in the field of error correction decoding, can solve problems such as complex structure and increased complexity of finite field multipliers
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[0020] Figure 4 A block diagram of an RS decoder according to the invention is illustrated. Figure 4 , when an α -k The generator 202 generates a root α of an initial error location polynomial from the input deletion position information -k and a description of the α -k is a control signal (CON) related to the root of the newly deleted information, the first polynomial expander 206 employs a k α output by generator 202 -k and the serial expansion method of the control signal (CON) to expand the initial error location polynomial (Γ(x)).
[0021] The first polynomial operator 204 calculates the syndrome value of the received data using the syndrome polynomial (S(x)). The syndrome required to decode a block code is defined by Equation 1: [Equation 1]
[0022] S k =S(α k )=γ(α k ), k=0,1,...,2t-1
[0023] Among them, when no error occurs, use α -k Substitute the syndrome polynomial (S(x)) and use α -k "0" is obtained instead of the check polynomial (r(x)).
[0024] ...
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