Precoding and Signal Shaping for Digital Transmission (Wiley by Robert F. H. Fischer

By Robert F. H. Fischer

Offers a step by step description of the fundamentals of precoding and sign shaping.
* Illustrates thought with examples from wireline and instant communications.
* Discusses the function of precoding and sign shaping algorithms in communications criteria.

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Precoding and Signal Shaping for Digital Transmission (Wiley - IEEE)

Offers a step by step description of the fundamentals of precoding and sign shaping. * Illustrates conception with examples from wireline and instant communications. * Discusses the function of precoding and sign shaping algorithms in communications criteria.

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5 0 1 -+ Fig. 6 shows the magnitude of the end-to-end cascade withnormalized transfer function G,(f)/T = ff~(f)H~(f)H~(f). 5 0 fT + 1 Fig. 6 Magnitude of the end-to-end cascade G , ( f ) / T = H~(f)Hc(f)Hc-'~)(f). 7 the respective time-domain signal-visible at the output of the receive filteris plotted. Here, the Nyquist characteristic is visible, too: the impulse response has zeros uniformly spaced by T ;marked by circles. I I -6 -5 -4 -3 I -2 I -1 I tlT 0 I I I I 1 2 3 4 + 5 6 Fig. 7 Time-domain pulse g o ( t ) at the output of the receive filter.

For the present example, the loss due to introduced IS1 and ZF linear equalization ranges from 4 dB up to 10 dB for cable lengths between 2 and 4 km. 10 sketches the loss of the up-stream scenario. Here, a selfNEXT dominated environment is present and an assessment based on equal transmit power fails. Compared to the loss of the down-stream example, due to the colored noise-which increases the variations of the attenuation within the transmission band-a much larger loss results. The continuous-time noise whitening filter introduces additional ISI, and so even for l2 = 0 km a huge loss occurs.

24), which is the transmit energy per information bit. , for pure self-NEXT environments (see Appendix B), this loss based on equal transmit power makes no sense. 9 for the DSL down-stream example (whte noise) over the cable length. For details on the transmission model, see Appendix B . The solid line gives the loss measured on equal receive power, whereas the dashed-dotted line corresponds to equal transmit power. Since the transmit filter is not square-root Nyquist, even for cable length l2 = 0 km a (small) loss occurs.

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