Method of interleaving a binary sequence

Error detection/correction and fault detection/recovery – Pulse or data error handling – Digital data error correction

Reexamination Certificate

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C714S788000, C714S701000, C714S755000, C714S786000

Reexamination Certificate

active

07069492

ABSTRACT:
To interleave a binary sequencearepresented by the polynomiala⁡(x)=∑i=0n-1⁢ai⁢xi,where n=R.M with R≧M, i being an integer which may be written i=r.M+c, r and c being integers, r≧0 and c ε [0, M−1], there is obtained, from the sequencea, an interleaved binary sequencea*. The interleaved binary data sequencea* represented by the polynomiala*⁡(x)=∑i=0n-1⁢ai⁢xi*where i*=[r−h(c)].M+c mod n, the h(c) being obtained by the choice of an M-tupleh0=[h0(0), . . . , h0(M−1)] of non-negative integers less than R−1 such that, given a predetermined set Π of circulating matrices P of dimension M×M, for any matrix P of Π, the residues modulo R of the components of the vectorh0.P are not nil; and the corresponding choice of an M-tuplehobtained fromh0by the application of a permutation moving h0(c) to position L×c mod M, the integer L being relatively prime with M. (It is noted that the above underlining of the variables, and the above single bracketing, is in the original and is meant to be permanent.)

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J. Yuan et al., “Design of Cyclic Shift Interleavers For Turbo Codes Structure,” Annals Of Telecommunications, vol. 56, No. 7/8, Jul. 2001, pp. 384-393.

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