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Code reduction snorbano

code reduction snorbano

F2displaystyle mathbb. Each pattern begins with 1displaystyle 1 and contain a length of displaystyle ell. This code was employed by nasa in their Cassini-Huygens spacecraft. Hence, if we receive e1,displaystyle mathbf e _1, we can decode it either to 0displaystyle mathbf 0 or cdisplaystyle mathbf. Efficiency of block interleaver (displaystyle gamma It is found by taking ratio of burst length where decoder may fail to the interleaver memory. 7.7 mm track length (12,300 bits) is the maximum burst length that can be interpolated. The reason is simple: we know that each coset has a unique syndrome decoding associated with it, and if all bursts of different lengths occur in different cosets, then all have unique syndromes, facilitating error correction.

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By the theorem above, for error correction capacity up to tdisplaystyle t, maximum burst length allowed is (nd1 t1).displaystyle (nd1 t-1). Moreover, we have (n)q2B(c)displaystyle (n-ell )qell -2leqslant B(mathbf c ). Again in most solutions, D2 is set to deal with erasures only (a simpler and less expensive solution). Therefore, we can say that qkB(c)qndisplaystyle qkB(mathbf c )leqslant. Therefore, the frame of six samples results in 33 bytes 17 bits (561 bits) to which are added 24 synchronization bits and 3 merging bits yielding a total of 588 bits. The error can then be corrected through its syndrome. The following theorem provides an answer to this question.

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