论文标题

正交延迟多普勒除外调制

Orthogonal Delay-Doppler Division Multiplexing Modulation

论文作者

Lin, Hai, Yuan, Jinhong

论文摘要

受到正交时间频率空间(OTF)调制的启发,在本文中,我们考虑在延迟多普勒(DD)平面上设计多载波(MC)调制,以将调制信号与具有DD分辨率的双重选择通道进行搭配。 DD平面MC调制设计的主要挑战是研究是否存在相对于DD平面的精细分辨率的可实现的脉冲正交。为此,我们首先指出可行的DD平面MC调制本质上是一种交错的多音调调制。然后,类似于正交频施加多路复用,我们提出了一个正交延迟多普勒除外多路复用(ODDM)调制,并设计相应的发射脉冲。此外,我们证明所提出的传输脉冲相对于DD平面的分辨率是正交的,因此确实存在可实现的DD平面正交脉冲。该特定脉冲的正交性显着简化了Oddm的DD域通道输入离子关系的推导,并产生具有优雅的块状循环样结构的通道矩阵。我们证明,通过实现调制信号和DD通道之间的完美耦合,ODDM根据带外发射和位错误率优于OTF。

Inspired by the orthogonal time frequency space (OTFS) modulation, in this paper, we consider designing a multicarrier (MC) modulation on delay-Doppler (DD) plane, to couple the modulated signal with a doubly-selective channel having DD resolutions. A key challenge for the design of DD plane MC modulation is to investigate whether a realizable pulse orthogonal with respect to the DD plane's fine resolutions exists or not. To this end, we first indicate that a feasible DD plane MC modulation is essentially a type of staggered multitone modulation. Then, analogous to orthogonal frequency division multiplexing, we propose an orthogonal delay-Doppler division multiplexing (ODDM) modulation, and design the corresponding transmit pulse. Furthermore, we prove that the proposed transmit pulse is orthogonal with respect to the DD plane's resolutions and therefore a realizable DD plane orthogonal pulse does exist. The orthogonality of this particular pulse significantly eases the derivation of the ODDM's DD domain channel input-output relation, and yields a channel matrix with an elegant block-circulant-like structure. We demonstrate that the ODDM outperforms the OTFS in terms of out-of-band emission and bit error rate, by achieving perfect coupling between the modulated signal and the DD channel.

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