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Approximate frequency analysis in structural dynamics

机译：结构动力学中的近似频率分析

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摘要

Frequency analysis is often used in structural dynamics, and the precautions and requirements necessary to obtain accurate results in the frequency domain are well known. However there are applications where resources limitations mean that full accuracy has to be compromised; one example is structural health monitoring using wireless sensor systems with severe constraints on power consumption and processing power. This paper investigates two approximations that may be introduced into the Discrete Fourier Transform computation, namely the quantization of the kernel function (the mono-bit FFT) and the quantization of the time signal, and considers the errors introduced into the frequency spectrum. The paper demonstrates that surprising good results may be obtained and these approximate methods should be considered during the design of systems constrained by resource limitations.
机译：频率分析通常用于结构动力学中，在频域中获得准确结果所必需的预防措施和要求是众所周知的。但是，在某些应用程序中，由于资源有限，因此必须牺牲完整的准确性。一个例子是使用无线传感器系统进行结构健康监测，对功耗和处理能力有严格的限制。本文研究了离散傅立叶变换计算中可能引入的两个近似值，即核函数的量化（单位比特FFT）和时间信号的量化，并考虑了引入频谱的误差。本文表明，可以获得令人惊讶的良好结果，并且在资源受限的系统设计过程中应考虑这些近似方法。

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