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Comptes Rendus Physique
Volume 18, n° 2
pages 168-177 (février 2017)
Doi : 10.1016/j.crhy.2016.11.006
Analysis of the faster-than-Nyquist optimal linear multicarrier system
Analyse du système linéaire optimal pour les communications multiporteuses au-delà de la cadence de Nyquist
 

Fig. 1




Fig. 1 : 

Time–frequency representation of a multicarrier signal. In this example, the generator g (t ) and the parameters T 0 and F 0 are chosen in order to show a clear separation in frequency, but not in time.


Fig. 2




Fig. 2 : 

Flowchart of a receiver exploiting our proposed per-block iterative DFE.  ,   and   are matrices containing the elements  ,  ,   respectively (where p indexes the lines and q the columns).


Fig. 3




Fig. 3 : 

Comparison of the CCDF of the interference and its Gaussian approximation (Q-function) with respect to the density ρ .


Fig. 4




Fig. 4 : 

Comparison of the PDF of the interference and its Gaussian approximation with respect to the density ρ .


Fig. 5




Fig. 5 : 

SINR versus E s /N 0 , with ρ =16/15.


Fig. 6




Fig. 6 : 

BER versus ρ , with E b /N 0 =20 dB.


Fig. 7




Fig. 7 : 

BER versus E b /N 0 , with ρ =16/15.


Fig. 8




Fig. 8 : 

Output BER as a function of the input BER for the rate 1/2 LDPC code of the DVB-S2 standard over an AWGN channel. In this configuration, the convergence threshold is given at BERin =0.15.


Fig. 9




Fig. 9 : 

BER as a function of E b /N 0 for a system using the rate 1/2 LDPC code of the DVB-S2 standard (10 iterations of the decoder), a density ρ =4/3 and a TFL generator. The convergence threshold happens at the value of E b /N 0 corresponding to the expected BERin (determined using Fig. 8).


Fig. 10




Fig. 10 : 

BER as a function of E b /N 0 for a multicarrier FTN system using a DFE, a density ρ =8/7 and a TFL generator.


Fig. 11




Fig. 11 : 

BER as a function of ρ for a multicarrier FTN system using a DFE, E b /N 0 =8 dB and a TFL generator.

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