SCIENTIA SINICA Informationis, Volume 49 , Issue 7 : 886-899(2019) https://doi.org/10.1360/N112018-00015

Design of SR-NYQ prototype filter in an FBMC system

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  • ReceivedJan 16, 2018
  • AcceptedJul 2, 2018
  • PublishedApr 30, 2019


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  • Table 1   The performances comparison of the optimized SR-NYQ filters with the PHYDYAS filter and the IOTA filter
    $\{M=64,K=4/3\}$ $N_p$ $R_p$ (dB) $A_s$ (dB) $E_s$ ${\rm~ISI}_t$ ${\rm~ISI}_f$
    PHYDYAS 257 3.0103 39.8544 $1.3476\times10^{-6}$ $8.14\times10^{-4}$ $6.27\times10^{-4}$
    IOTA 257 2.6807 13.8932 $5.6124\times10^{-4}$ $2.70\times10^{-3}$ $4.22\times10^{-2}$
    ${\rm~{h1}_A}$ 257 3.0033 49.4834 $4.0514\times10^{-8}$ $8.00\times10^{-4}$ $7.89\times10^{-4}$
    ${\rm~{h1}_B}$ 257 3.0429 55.7287 $9.8038\times10^{-9}$ $1.40\times10^{-2}$ $1.16\times10^{-2}$
    ${\rm~{h1}_C}$ 193 2.9926 39.7521 $1.2428\times10^{-6}$ $8.10\times10^{-4}$ $8.06\times10^{-4}$
  • Table 2   The parameters for the BER simulation of FBMC system
    Parameter Value
    Subcarrier spacing $\Delta~f$ $15$ kHz
    Number of subcarriers $64$
    FFT size $64$
    Number of used subcarriers $32$
    Number of users $2$
    Sampling rate $0.96$ MHz
    Modulation $4\text{-}$QAM
    Overlapping factor $K~\in~\{3,4\}$
  • Table 3   The further BER comparison between the ${\rm~{h1}_B}$ and the PHYDYAS filter
    SNR (dB) 0 5 10 15 20 25
    PHYDYAS 0.3430 0.1755 0.0852 0.0516 0.0377 0.0277
    ${\rm~{h1}_B}$ 0.3403 0.1702 0.0814 0.0483 0.0347 0.0243

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