Abstract

The discrete Fourier transform (DFT) is carried out on a bounded time interval, which is equivalent to multiplying a signal under analysis by a rectangular window whose spectrum has the largest (among the other windows) side lobes. As a result, the effect called spectral leakage occurs. Multiplying the signal by the smoothing window reduces the splatter of its spectral components. There are several dozen variants of window functions as the DFT is used in a variety of problems. Of particular interest is the unique flat-top window, which is employed in broadband applications. In this study, we propose a new adjustable window with a quasi-rectangular spectrum and a method to reduce the level of the spectrum’s side lobes.

中文翻译：

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具有准矩形光谱的窗函数

摘要

离散傅里叶变换（DFT）在有界的时间间隔上执行，这等效于将分析信号乘以频谱范围最大（在其他窗口之中）旁瓣的矩形窗口。结果，发生了称为光谱泄漏的效应。将信号乘以平滑窗口可减少其频谱分量的飞溅。由于DFT用于各种问题，因此有数十种窗口函数变体。特别令人感兴趣的是在宽带应用中采用的独特的平顶窗。在这项研究中，我们提出了一种新的具有准矩形频谱的可调整窗口，以及一种降低频谱旁瓣电平的方法。