The Discrete Fourier Transform (DFT) is widely utilized for signal analysis but is plagued by spectral leakage, leading to inaccuracies in signal approximation. Window functions play a crucial role in mitigating spectral leakage by providing weighting mechanisms for discrete signals. In this paper, we introduce a novel window type based on exponential function, allowing for adjustable parameters and diverse variations. We present the formulation, properties, and motivation behind the design of the new window functions. Additionally, we analyze their behavior and evaluate their performance by comparing them with mainstream window functions using six parameters. Our findings demonstrate that these new window functions exhibit outstanding flexibility and versatility in signal analysis.

翻译：离散傅里叶变换（DFT）广泛应用于信号分析，但受频谱泄露问题困扰，导致信号近似存在误差。窗函数通过对离散信号提供加权机制，在缓解频谱泄露中发挥着关键作用。本文提出一种基于指数函数的新型窗函数，其参数可调且具有多样化变体。我们阐述了该新型窗函数的构造公式、特性及设计动机，并通过六项参数与主流窗函数进行对比分析，评估其行为特征与性能表现。研究结果表明，这类新型窗函数在信号分析中展现出卓越的灵活性与通用性。