发明名称 |
Method of transforming serial scrambler to parallel scrambler, parallel scrambler and double-edge-triggered register with XOR operation |
摘要 |
A method of transforming a serial scrambler to a parallel scrambler, a parallel scrambler and a double-edge-triggered register with XOR operation are provided. The method transforms a serial scrambler to a parallel scrambler according to a characteristic polynomial: <maths id="MATH-US-00001" num="1"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>P</MI> <MO></MO> <MROW> <MO>(</MO> <MI>x</MI> <MO>)</MO> </MROW> </MROW> <MO>=</MO> <MROW> <MROW> <MUNDEROVER> <MO>∑</MO> <MROW> <MI>q</MI> <MO>=</MO> <MN>0</MN> </MROW> <MI>N</MI> </MUNDEROVER> <MO></MO> <MROW> <MSUB> <MI>c</MI> <MI>q</MI> </MSUB> <MO></MO> <MSUP> <MI>x</MI> <MI>q</MI> </MSUP> <MO></MO> <MSTYLE> <MTEXT> </MTEXT> </MSTYLE> <MO></MO> <MI>or</MI> <MO></MO> <MSTYLE> <MTEXT> </MTEXT> </MSTYLE> <MO></MO> <MROW> <MI>b</MI> <MO></MO> <MROW> <MO>(</MO> <MI>i</MI> <MO>)</MO> </MROW> </MROW> </MROW> </MROW> <MO>=</MO> <MROW> <MUNDEROVER> <MO>∑</MO> <MROW> <MI>q</MI> <MO>=</MO> <MN>1</MN> </MROW> <MI>N</MI> </MUNDEROVER> <MO></MO> <MROW> <MSUB> <MI>c</MI> <MI>q</MI> </MSUB> <MO></MO> <MROW> <MROW> <MI>b</MI> <MO></MO> <MROW> <MO>(</MO> <MROW> <MI>i</MI> <MO>-</MO> <MI>q</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO>.</MO> </MROW> </MROW> </MROW> </MROW> </MROW> </MATH> </MATHS> The method first determines a transformation formula: <maths id="MATH-US-00002" num="2"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>b</MI> <MO></MO> <MROW> <MO>(</MO> <MROW> <MI>kN</MI> <MO>+</MO> <MI>i</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO>=</MO> <MROW> <MUNDEROVER> <MO>∑</MO> <MROW> <MI>q</MI> <MO>=</MO> <MN>1</MN> </MROW> <MI>N</MI> </MUNDEROVER> <MO></MO> <MROW> <MSUB> <MI>c</MI> <MI>q</MI> </MSUB> <MO></MO> <MROW> <MI>b</MI> <MO></MO> <MROW> <MO>(</MO> <MROW> <MROW> <MROW> <MO>(</MO> <MROW> <MI>k</MI> <MO>-</MO> <MI>R</MI> </MROW> <MO>)</MO> </MROW> <MO></MO> <MI>N</MI> </MROW> <MO>+</MO> <MI>i</MI> <MO>+</MO> <MROW> <MI>R</MI> <MO></MO> <MROW> <MO>(</MO> <MROW> <MI>N</MI> <MO>-</MO> <MI>q</MI> </MROW> <MO>)</MO> </MROW> </MROW> </MROW> <MO>)</MO> </MROW> </MROW> </MROW> </MROW> </MROW> </MATH> </MATHS> according to the parameters of the characteristic polynomial. The parallel bits B<SUB>j</SUB>=[b<SUB>Mj</SUB>, b<SUB>Mj+1</SUB>, . . . , b<SUB>Mj+M-2</SUB>, b<SUB>Mj+M-1</SUB>] are arranged in order. The transformation number R=2<SUP>t </SUP>(the initial number of t is 0) is set. The parallel bits are replaced by the transformation formula. When (k-R)N+i+R(N-q) is larger than Mj-1 in the transformation formula, 1 is added to t in the transformation formula R=2<SUP>t </SUP>and the transformation formula is re-counted. Finally, the XOR gates are connected to the registers according to a computed result from the transformation formula.
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申请公布号 |
US2006029225(A1) |
申请公布日期 |
2006.02.09 |
申请号 |
US20050096957 |
申请日期 |
2005.03.31 |
申请人 |
JOU SHYH-JYE;CHEN CHIH-NING;WANG YOU-JIUN;HSIAO JU-YUAN;LIN CHIH-HSIEN |
发明人 |
JOU SHYH-JYE;CHEN CHIH-NING;WANG YOU-JIUN;HSIAO JU-YUAN;LIN CHIH-HSIEN |
分类号 |
H04K1/06;H03M7/00;H04L9/18 |
主分类号 |
H04K1/06 |
代理机构 |
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