Abstract

The problem of synthesis of low-order polynomial window functions with an arbitrarily specified decay rate of spectral lobes (optimal with respect to minimization of the maximum side lobe on a specified segment of the frequency axis) is solved. A method for the synthesis of optimal functions with verification of the solution is developed. The window functions of orders 1–12 with side-lobe decay rates of 6, 12, 18, 24, and 30 dB/oct are synthesized and tables of the parameters are presented. The characteristics of the functions are analyzed and compared with the known ones. A simple algorithm for calculation of the synthesized functions is proposed.

中文翻译：

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用于信号频谱分析的一类最优多项式窗函数

摘要

解决了合成具有任意指定谱瓣衰减率的低阶多项式窗函数（对于频率轴的指定段上的最大旁瓣的最小化而言是最佳的）的问题。开发了一种通过验证解决方案来合成最佳函数的方法。合成了旁瓣衰减率为 6、12、18、24 和 30 dB/oct 的 1-12 阶窗函数，并提供了参数表。分析了这些功能的特点，并与已知功能进行了比较。提出了一种用于计算合成函数的简单算法。