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2                                                 Transport aspects


            cancellation  precoders  per  vectored  subcarrier  of  size  NN.  Knowing  the  transmit  symbols  on  each
            disturbing  channel,  the  precoder  precompensates  the  actual  transmit  symbol  such  that  at  the  far-end
            receiver input, the crosstalk is significantly reduced. As a part of the channel matrix or separately, the VCE
            shall set the precoder such that the precoder output signals (Z' values shown in Figure 10-16) shall not lead
            at the U reference point to violation of the PSD limit corresponding with the tssi (see clause 10.2.1.5.3).

            The  channel  matrix  and  the  resulting  FEXT  cancellation  precoder  matrix  are  assumed  to  be  entirely
            managed  inside  the  DPU.  An  information  exchange  between  the  FTU-O  and  FTU-R  is  required  in  each
            vectored line to learn, track and maintain the channel matrix and associated FEXT cancellation precoder
            matrix  (see  vectoring  feedback  channel  definition  in  clause  10.3.2  and  initialization  in  clause 12.3).  The
            actual algorithms for processing this information to obtain the channel matrix and to generate the FEXT
            cancellation precoder are vendor discretionary. Depending on the implementation, it may be possible for
            the VCE to directly determine the FEXT cancellation precoder matrix and only have an implicit learning of
            the channel matrix.




































            NOTE – Symbol encoder represents the data, sync, pilot or initialization symbol encoder shown in Figure 10-1.

                          Figure 10-16 – Vectored group functional model of PMD sub-layer using N×N
                                            precoder for downstream vectoring


            An FTU-O shall support FEXT cancellation precoding, as shown in Figure 10-1 and Figure 10-16. At its own
            discretion,  the  VCE  may  apply  to  sync  symbols  precoding  coefficients  that  are  different  (including  any
            diagonal precoder matrix) from those used for other symbol positions.

            10.3.2  Vectoring feedback channel

            10.3.2.1   Definition of normalized error sample
            The FTU-R converts the received time domain signal into frequency domain samples, resulting in a complex
            value  Z  for each of the received subcarriers. The subsequent constellation de-mapper associates each of
            these complex values  Z  with a particular constellation point, represented by a value C. Figure 10-17 shows
            the computation of a normalized error sample E for a particular subcarrier in a particular sync symbol. The
            normalized error sample represents the error between the received complex data sample  Z  normalized to
            the 4-QAM constellation and the corresponding expected constellation point C, referred to the input of the



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