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SCIENCE CHINA Information Sciences, Volume 62, Issue 8: 080301(2019) https://doi.org/10.1007/s11432-018-9808-5

Fast-convolution multicarrier based frequency division multiple access

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  • ReceivedDec 5, 2018
  • AcceptedMar 1, 2019
  • PublishedJul 11, 2019

Abstract

Fast-convolution multicarrier (FCMC), the asynchronous waveform with ultra-low sidelobe, has appeared to be a promising waveform technique for future wireless communications. In this paper, we investigate the filter bank optimization as well as receiver design including low-complexity channel estimator and equalizer for FCMC based frequency division multiple access (FDMA). Starting from the conventional multi-carrier signals, we first derive a vectorized signal model as a framework to systematically design the FCMC transceiver. For nearly perfect reconstruction (NPR) filter banks design, an optimization criterion which consists of minimizing received signal segments' mean square error (MSE) is proposed. From the fact that Toeplitz matrices can be asymptotically diagonalized by discrete Fourier transform (DFT) matrix, the channel equalizer can be simplified to one-tap frequency domain equalizer when DFT size is large enough. The minimum mean square error (MMSE) criterion is then applied to calculate the coefficients of one-tap frequency domain equalizer. In practice, due to the channel fading, the channel estimation has to be performed to obtain the channel state information (CSI) which is required by the channel equalization. To this end, we propose a combined cyclic prefix (CP) and cyclic suffix (CS) pilot structure which facilitates to estimate the frequency domain CSI directly in the receiver end. The proposed FCMC based FDMA features low-complexity receiver, adjustable users' bandwidth and low peak-to-average power ratio. Simulation results confirm the performance of the proposed scheme.


Acknowledgment

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61320106003, 61761136016, 61631018), Natural Science Foundation of Jiangsu Province (Grant No. BK20170688), National Science and Technology Major Project of China (Grant No. 2017ZX03001002-004), and Civil Aerospace Technologies Research Project (Grant No. D010109).


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  • Figure 1

    (Color online) Overlap-save processing on the transmitter side.

  • Figure 2

    (Color online) FCMC transceiver processing flow in uplink transmission

  • Figure 3

    (Color online) FCMC and DFTS-OFDM PSD comparison.

  • Table 1   SCM simulation configurations
    Channel modelConfigurations
    ScenarioUrban micro
    Velocity$5~\text{km/h}$
    Carrier frequency$2~\text{GHz}$
    Cell radius$500~\text{m}$
  •   

    Algorithm 1 Proposed FC-FB optimization algorithm

    Require:Subcarriers number of the $u$th subband: $N_{a,u}$; bandwidth of the $u$th subband: $M_{b,u}$; the allowed maximum error between optimized transmitted and received filter bank: $\epsilon$; ${\boldsymbol{\lambda}}_t^{(0)}$ and ${\boldsymbol{\lambda}}_r^{(0)}$ as RRC filters which satisfies subband bandwidth $M_{b,u}~$ and subcarrier number $N_{a,u}$ constraints.

    Output:The optimized transmitted and received filter bank: ${\boldsymbol{\lambda}}$.

    while $||{\boldsymbol{\lambda}}_t-{\boldsymbol{\lambda}}_r||_2>\epsilon$ do

    Fix ${\boldsymbol{\lambda}}_t$, calculate $\boldsymbol{F}$ by (37).

    Let ${\boldsymbol{F}}_r=[~\begin{matrix} \left({\rm~Re}({\boldsymbol{F}})\right)^{\rm~T}&\left({\rm~Im}({\boldsymbol{F}})\right)^{\rm~T} \end{matrix}~]^{\rm~T}$. Find SVD of ${\boldsymbol{F}}_r{\boldsymbol{F}}_r^{\rm~T}$, and the corresponding right singular vector of minimum positive eigenvalue is the optimized ${\boldsymbol{\lambda}}_r^{(i)}$ with fixed ${\boldsymbol{\lambda}}_t^{(i-1)}$.

    Update ${\boldsymbol{\lambda}}_t$: ${\boldsymbol{\lambda}}_t^{(i)}=\beta{\boldsymbol{\lambda}}_t^{(i-1)}+(1-\beta){\boldsymbol{\lambda}}_r^{(i)}$.

    end while

    Set ${\boldsymbol{\lambda}}={\boldsymbol{\lambda}}_t^{(i)}$.

    return ${\boldsymbol{\lambda}}$.

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