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    • 6. 发明授权
    • Decoding apparatus, processing apparatus and methods therefor
    • 解码装置,处理装置及其方法
    • US06421807B1
    • 2002-07-16
    • US09343946
    • 1999-06-30
    • Akio NakamuraTetsuya TamuraMasayuki DemuraHironobu Nagura
    • Akio NakamuraTetsuya TamuraMasayuki DemuraHironobu Nagura
    • H03M1300
    • H03M13/1535H03M13/158
    • An apparatus and method for decoding data encoded in a linear cyclic code with less hardware than the prior art decoding apparatus without sacrificing the processing speed are described. The polynomial arithmetic part 14 derives polynomials &sgr;(x), &ohgr;(x) by repeating calculation of the following Qi(x), exchange of polynomials between the register U_reg 180 and the register X_reg 184, and exchange of polynomials between the register Y_reg 182 and the register Z_reg 186 until the degree (deg Xreg) of the polynomial in the register X_reg 184 becomes smaller than [(d−h+1)/2] to solve the following recursive formula. [recursive formula]=&sgr;i(x)=&sgr;i−2(x)+Qi(x)·&sgr;i−1(x) &ohgr;i(x)=&ohgr;i−2(x)+Qi(x)·&ohgr;i−1(x) where Qi(x) is a quotient of &ohgr;i−2(x)/&ohgr;i−1(x) &sgr;−1(x)=1, &ohgr;−1(x)=x2t &sgr;0(x)=1, &ohgr;0(x)=M(x)
    • 描述了以比现有技术的解码装置更少的硬件对以循环码进行编码的数据进行解码而不牺牲处理速度的装置和方法。 多项式运算部分14通过重复计算以下的Qi(x),在寄存器U_reg 180和寄存器X_reg 184之间的多项式的交换以及寄存器Y_reg 182之间的多项式的交换来导出多项式sigma(x),ω(x) 和寄存器Z_reg 186,直到寄存器X_reg 184中的多项式的度(deg Xreg)变得小于[(d-h + 1)/ 2]来求解以下递归公式。其中,Qi(x)是 omega-2(x)/ omegai-1(x)sigma-1(x)= 1,ω-1(x)= x2t sigma0(x)= 1,omega0(x)= M