Channel adaptive equalization precoding system and method
a precoding system and channel technology, applied in the field of channel adaptive equalization precoding system and method, can solve the problems of circuit-switched network, inflexible data service provision, and difficulty in interoperability and integration of these technologies
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case 1
[1591] PAM Signal
[1592] Suppose that the measured channel plus background noise for the i-th trial is
C(i)=H+N(i)
[1593] where C(i)=[c.sub.1(i),c.sub.2(i), . . . , c.sub.L(i)].sup.T, H=[h.sub.1, h.sub.2, . . . , h.sub.L].sup.T is the sampled (in symbol rate) vector of the channel impulse response, and [.].sup.T denotes the transpose of [.]. Here, we assume perfect time synchronization so that H appears the same regardless of the trial index i. N(i)=[n.sub.1(i), n.sub.2(i), . . . , n.sub.L(i)].sup.T is the noise vector.
[1594] Assuming that the numbers of taps in THP and FFE are N.sub.THP and N.sub.FFE, respectively, we construct two N.sub.FFE.times.(L+N.sub.FFE-1) matrices, .PHI..sub.C(i) and .PHI..sub.H, as 15 C( i ) = [ c 1( i ) , c 2( i ) , , c L( i ) , 0 , 0 , , 0 0 , c 1( i ) , c 2( i ) , , c L( i ) , 0 , , 0 0 , 0 , , 0 , c 1( i ) , c 2( i ) , , c L( i ) ] H = [ h 1 , h 2 , , h L , 0 , 0 , , 0 0 , h 1 , h 2 , , h L , 0 , . , 0 0 , 0 , , 0 , h 1 , h 2 , , h L ]
[1595] To evaluate ...
case 2
[1602] The following calculation follows a note "Notes on Calculation of QAM DFE" (J. F. Weng, July 1999) which is a little bit different from that used in "DSL Simulation Techniques and Standards Development for Digital Subscnber Line Systems" (W. Y. Chen, 1998) for calculating the optimum weight coefficients in QAM. (Comparison will be done later to see the difference and the effect on performance)
[1603] The calculation can be shown similar to that for PAM signal discussed above while bearing in mind that the signals discussed below for QAM signals are all complex-valued signals.
[1604] Suppose that the measured channel plus background noise for the i-th trial is
C(i)=H+N(i)
[1605] where C(i)=[c.sub.1(i), c.sub.2(i), . . . , c.sub.L(i)].sup.T, H=[h.sub.1, h.sub.2, . . . , h.sub.L].sup.T is the sampled (in symbol rate) vector of the channel impulse response, and [.].sup.T denotes the transpose of [.]. Here, we assume perfect time synchronization so that H appears the...
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