10位并行解扰码算法推导

1、10位并行解扰码算法推导扰码多项式:输入数据:D0.D9(先D0，最后D9)初始状态:R1.R9=X1.X9,R0=X0 推导过程如下：1.按串行解扰码，第一次打入数据(D0)后: R1=D0 -表示“异或”R2=X1 R3=X2 R4=X3 R5=X4 R6=X5 R7=X6 R8=X7 R9=X8 R0=X9 D0 X52.第二次打入数据(D1)后:R1 =D1R2 =D0R3 =X1R4 =X2R5 =X3R6 =X4R7 =X5R8 =X6R9 =X7R0 =X8 D1 X4r1 =X9 D0 X5r2 =X0r3 =X1r4 =X2r5 =X3r6 =X4r7 =X5r8 =X6r9

2、 =X73.第三次打入数据(D2)后:R1 =D2R2 =D1R3 =D0R4 =X1R5 =X2R6 =X3R7 =X4R8 =X5R9 =X6R0 =X7 D2 X3r1 =X8 D1 X4r2 =X9 D0 X5r3 =X0r4 =X1r5 =X2r6 =X3r7 =X4r8 =X5r9 =X64.第四次打入数据(D3)后:R1 =D3R2 =D2R3 =D1R4 =D0R5 =X1R6 =X2R7 =X3R8 =X4R9 =X5R0 =X6 D3 X2r1 =X7 D2 X3r2 =X8 D1 X4r3 =X9 D0 X5r4 =X0r5 =X1r6 =X2r7 =X3r8 =X4r9

3、 =X55.第五次打入数据(D4)后:R1 =D4R2 =D3R3 =D2R4 =D1R5 =D0R6 =X1R7 =X2R8 =X3R9 =X4R0 =X5 D4 X1r1 =X6 D3 X2r2 =X7 D2 X3r3 =X8 D1 X4r4 =X9 D0 X5r5 =X0r6 =X1r7 =X2r8 =X3r9 =X46.第六次打入数据(D5)后:R1 =D5R2 =D4R3 =D3R4 =D2R5 =D1R6 =D0R7 =X1R8 =X2R9 =X3R0 =X4 D5 D0r1 =X5 D4 X1r2 =X6 D3 X2r3 =X7 D2 X3r4 =X8 D1 X4r5 =X9 D

4、0 X5r6 =X0r7 =X1r8 =X2r9 =X37.第七次打入数据(D6)后:R1 =D6R2 =D5R3 =D4R4 =D3R5 =D2R6 =D1R7 =D0R8 =X1R9 =X2R0 =X3 D6 D1r1 =X4 D5 D0r2 =X5 D4 X1r3 =X6 D3 X2r4 =X7 D2 X3r5 =X8 D1 X4r6 =X9 D0 X5r7 =X0r8 =X1r9 =X28.第八次打入数据(D7)后:R1 =D7R2 =D6R3 =D5R4 =D4R5 =D3R6 =D2R7 =D1R8 =D0R9 =X1R0 =X2 D7 D2r1 =X3 D6 D1r2 =X4 D

5、5 D0r3 =X5 D4 X1r4 =X6 D3 X2r5 =X7 D2 X3r6 =X8 D1 X4r7 =X9 D0 X5r8 =X0r9 =X19.第九次打入数据(D8)后:R1 =D8R2 =D7R3 =D6R4 =D5R5 =D4R6 =D3R7 =D2R8 =D1R9 =D0R0 =X1 D8 D3r1 =X2 D7 D2r2 =X3 D6 D1r3 =X4 D5 D0r4 =X5 D4 X1r5 =X6 D3 X2r6 =X7 D2 X3r7 =X8 D1 X4r8 =X9 D0 X5r9 =X010.第十次打入数据(D9)后:R1 =D9R2 =D8R3 =D7R4 =D6R5 =D5R6 =D4R7 =D3R8 =D2R9 =D1R0 =D0 D9 D4r1 =X1 D8 D3r2 =X2 D7 D2r3