Invention Grant
- Patent Title: Decoding method and device and systems implementing them
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Application No.: US09892874Application Date: 2001-06-28
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Publication No.: US06910006B2Publication Date: 2005-06-21
- Inventor: Philippe Piret
- Applicant: Philippe Piret
- Applicant Address: JP Tokyo
- Assignee: Canon Kabushiki Kaisha
- Current Assignee: Canon Kabushiki Kaisha
- Current Assignee Address: JP Tokyo
- Agency: Fitzpatrick, Cella, Harper & Scinto
- Priority: FR0008313 20000628
- Main IPC: G06F11/10
- IPC: G06F11/10 ; H03M13/13 ; H03M13/15 ; H03M13/29 ; H03M13/31 ; G10L19/02

Abstract:
In order to decode a sequence α=(α1, . . . , αi, . . . , αn) where αi is the received electrical signal corresponding to a transmitted signal ai representing the ith binary element vi of a word v=(v1, . . . , vn) chosen in a code C of words satisfying v·hT=0, where h is a row n-tuplet on the set {0,1 }, whose number of 1 is denoted w, an item of extrinsic information ρext[A(i,h)]=P[ai=−1|A(i,h)]/P[ai=+1|A(i,h)] is determined on each of the elements vi covered by h, A(i,h) being the set of the received values αj covered by h, with the exception of αi, and P[ai|A(i,h)] being the probability that the ith signal transmitted was ai. This gives ρext[A(i,h)]=[S1(i)+S3(i)+ . . . ]/[1+S2(i)+S4(i)+ . . . ] where the numbers Sr(i) are calculated by applying the recurrence r - 1 ∑ i = 1 w z α i S r - 1 ( i ) - z α j S r - 1 ( j ) = S r ( j ) to the numbers S0(i) initialised to 1, with z=exp(−4 E/N), where E is the energy of the transmitted signals ai and N is the spectral power density of the noise on the transmission channel.
Public/Granted literature
- US20020016713A1 Decoding method and device and systems implementing them Public/Granted day:2002-02-07
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