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arXiv 2005.12794math.APcs.NAmath.NAphysics.bio-ph
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信号处理、声学超材料和生物学之间的渐近联系

Asymptotic links between signal processing, acoustic metamaterials and biology

Habib Ammari, Bryn Davies

摘要:

仿生学是一门强大的科学,它利用大自然的非凡能力来设计创新的解决方案来解决具有挑战性的问题。在这项工作中,我们使用渐近方法开发的数学基础,生物听觉系统,信号处理算法和声学超材料之间的设计灵感和功能的交流。我们的出发点是一个简洁的高对比度声学超材料的渐近分析。我们能够微调这种分级结构,以模仿耳蜗的生物力学特性,在相同的规模。然后,我们把我们的注意力转向开发一个仿生信号处理算法。我们使用耳蜗状超材料的响应作为初始过滤层,然后添加额外的仿生处理阶段,旨在模仿人类听觉系统识别自然声音的全局特性的能力。这表明,由于我们的分析,信号处理,超材料和生物学之间的三方思想交流是可能的。

英文摘要:

Biomimicry is a powerful science that takes advantage of nature's remarkable ability to devise innovative solutions to challenging problems. In this work, we use asymptotic methods to develop the mathematical foundations for the exchange of design inspiration and features between biological hearing systems, signal processing algorithms and acoustic metamaterials. Our starting point is a concise asymptotic analysis of high-contrast acoustic metamaterials. We are able to fine tune this graded structure to mimic the biomechanical properties of the cochlea, at the same scale. We then turn our attention to developing a biomimetic signal processing algorithm. We use the response of the cochlea-like metamaterial as an initial filtering layer and then add additional biomimetic processing stages, designed to mimic the human auditory system's ability to recognise the global properties of natural sounds. This demonstrates the three-way exchange of ideas that, thanks to our analysis, is possible between signal processing, metamaterials and biology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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