arXiv:2507.05662cs.SDeess.AS2025-07

用随机投影降维,提升麦克风阵列的波束成形性能。

Beamforming with Random Projections: Upper and Lower Bounds

  • 通过多组随机投影实现数据驱动的降维预处理。
  • 在信噪比和干扰抑制比上优于传统MVDR波束成形器。
  • 降低计算复杂度,适合实时应用且保持高性能。

波束成形器常在白噪声增益与干扰抑制能力之间权衡。对于分布式麦克风阵列,不同阵列对各声源捕获的幅值和相位差异巨大,这一权衡尤为关键。本文提出在数据驱动的降维与波束成形中采用多组随机投影作为第一阶段预处理。结果表明,基于多组随机投影的混合波束成形器在信噪比(SNR)和信号-干扰加噪声比(SINR)增益方面显著优于最小方差无失真响应(MVDR)波束成形器。此外,该方法在设计自适应波束成形器时引入了计算复杂度作为新权衡变量,使算法能更好地利用接收信号的内在结构,在减少计算量的同时实现更优的实时性能。最后,我们推导了压缩后波束成形器输出功率相对于全复杂度MVDR波束成形器的上下界。

原文摘要 · Abstract (English)

Beamformers often trade off white noise gain against the ability to suppress interferers. With distributed microphone arrays, this trade-off becomes crucial as different arrays capture vastly different magnitude and phase differences for each source. We propose the use of multiple random projections as a first-stage preprocessing scheme in a data-driven approach to dimensionality reduction and beamforming. We show that a mixture beamformer derived from the use of multiple such random projections can effectively outperform the minimum variance distortionless response (MVDR) beamformer in terms of signal-to-noise ratio (SNR) and signal-to-interferer-and-noise ratio (SINR) gain. Moreover, our method introduces computational complexity as a trade-off in the design of adaptive beamformers, alongside noise gain and interferer suppression. This added degree of freedom allows the algorithm to better exploit the inherent structure of the received signal and achieve better real-time performance while requiring fewer computations. Finally, we derive upper and lower bounds for the output power of the compressed beamformer when compared to the full complexity MVDR beamformer.

波束成形随机投影降维麦克风阵列

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