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By Williams J. W.

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17. Number of blocks as a function of the number of bit errors for j=2 LDPC decoded EPR4 channel without precoder, 5/3 iterations. 1e−6 Total number of blocks = 37012 2 0 0 50 100 150 Number of errors per block 200 250 Fig. 18. Number of blocks as a function of the number of bit errors for j=3, 4 and 6 LDPC decoded EPR4 channel without precoder, 5/3 iterations. 2 Iterative Codes in Magnetic Storage Systems 37 block error statistics behavior accurately. Therefore, hardware tools such as an FPGA are needed before a convincing argument can be made.

IEEE Information Theory Society Golden Jubilee Awards for Technological Innovation,” IEEE Information Theory Society Newsletter, special issue, September 1998. 4. C. Berrou, A. Glavieux, P. Thitimajshima: “Near Shannon limit error-correcting coding and decoding : turbo-codes” Proceedings of ICC’93, Geneva, pp. 10641070, May 1993. 5. Christian Schlegel and Lance Perez, Trellis and turbo coding, Piscataway, NJ Wiley-IEEE Press; 2003. 6. L. H. L. Yeap, Turbo coding, turbo equalisation and space-time coding : for transmission over fading channels,John Wiley, 2002.

Therefore, hardware tools such as an FPGA are needed before a convincing argument can be made. 4 Transfer Functions of the Channel Detector and Decoder C Fig. 75dB for 1 − D (PR4), 1 + D − D2 − D3 (EPR4), 1 + 2D − 2D3 − D4 (EEPR4), 1 + D (PR1), (1 + D)2 (PR2) and (1 + D)3 (PR3) PR channels without precoder and an EPR4 target with a precoder 1/(1⊕D2 ). , when a priori information is the largest output SN Rout all zero. Although the transfer function curves for the six PR channels start C C when SN Rin = 0, they all flatten out to zero from different output SN Rout C C if SN Rin is sufficiently large.

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