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Filter Design for Generalized Frequency-Division Multiplexing

机译：通用频分复用滤波器设计

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摘要

In this paper, optimal filter design for generalized frequency-division multiplexing (GFDM) is considered under two design criteria: rate maximization and out-of-band (OOB) emission minimization. First, the problem of GFDM filter optimization for rate maximization is formulated by expressing the transmission rate of GFDM as a function of GFDM filter coefficients. It is shown that Dirichlet filters are rate-optimal in additive white Gaussian noise channels with no carrier frequency offset (CFO) under linear zero-forcing (ZF) or minimum mean-square error (MMSE) receivers, but in general channels perturbed by CFO a properly designed nontrivial GFDM filter can yield better performance than Dirichlet filters by adjusting the subcarrier waveform to cope with the channel-induced CFO. Next, the problem of GFDM filter design for OOB emission minimization is formulated by expressing the power spectral density of the GFDM transmit signal as a function of GFDM filter coefficients, and it is shown that the OOB emission can be reduced significantly by designing the GFDM filter properly and there is a tradeoff between the transmission rate and OOB radiation for GFDM with linear receivers. Finally, joint design of GFDM filter and window for the two design criteria is considered.
机译：本文在两种设计标准下考虑了针对通用频分复用（GFDM）的最佳滤波器设计：速率最大化和带外（OOB）发射最小化。首先，通过将GFDM的传输速率表示为GFDM滤波器系数的函数，提出了用于最大化速率的GFDM滤波器优化问题。结果表明，在线性零强迫（ZF）或最小均方误差（MMSE）接收器下，在没有载波频率偏移（CFO）的加性高斯白噪声信道中，狄利克雷滤波器的速率最佳，但在一般情况下，信道会受到CFO的干扰经过适当设计的非平凡GFDM滤波器，通过调节子载波波形以应对信道引起的CFO，可以产生比Dirichlet滤波​​器更好的性能。接下来，通过将GFDM发射信号的功率谱密度表示为GFDM滤波器系数的函数，提出了用于最小化OOB发射的GFDM滤波器设计问题，并且表明通过设计GFDM滤波器可以显着降低OOB发射对于带有线性接收器的GFDM，在传输速率和OOB辐射之间要进行权衡。最后，考虑了两种设计标准的GFDM滤波器和窗口的联合设计。

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