Abstract

A synthesis problem is solved for low-order windows with the sidelobe spectrum falloff rate equal to 12n decibel per octave (dB/oct), where n is an integer, that are optimal by the criterion of the minimum highest spectrum sidelobe level over a given frequency region outside the main lobe. To obtain this sidelobe falloff rate, it is proposed to synthesize the windows in the form of a portion of the Fourier series in terms of cosine functions with an odd number of half-waves along the observation interval. A synthesis method for the optimal functions with verification of the solution is developed. Order 3 to 6 windows with sidelobe falloff rates 12, 24, and 36 dB/oct are synthesized and their parameters are presented.

中文翻译：

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频谱旁瓣衰减率为12 dB /倍频程的频谱分析的最佳窗口函数系列

摘要

对于旁瓣频谱衰减率等于每八度音阶12 n分贝（dB / oct）的低阶窗口，解决了一个合成问题，其中n是整数，通过在a上最小频谱最高旁瓣电平的准则来优化主瓣外的给定频率区域。为了获得该旁瓣衰减率，建议以余弦函数的形式沿着观察间隔合成具有一部分傅里叶级数形式的窗口。提出了一种具有验证性的最优函数综合方法。合成了具有旁瓣衰减率12、24和36 dB / oct的3至6阶窗口，并给出了它们的参数。