数字滤波器的频谱窗和噪声压缩度

The Frequency Spectrum and the Noisy Compression Degree of the Digital Filter

根据傅里叶理论导出了数字滤波器的频谱窗 ;根据随机过程理论导出了数字滤波的噪声压缩度。通过对二项式系数数字滤波器和多项式系数数字滤波器的频谱窗和噪声压缩度的分析 ,发现前者对噪声具有较强的压缩作用 ,同时能保持信号的凹凸性 。

This paper derives the frequency spectrum of digital filters from the Fourier theory, and derives the noise compression degree of digital filters from the theory of stochastic process. Through analyzing the frequency spectrum and the noise compression degree of the binomial efficient digital filter and the multinomial efficient digital filter, we find that the binomial efficient digital filter has a greater compression action to noise and at the same time can keep the property of the concave and convex of the signal. It is a better digital filter than the multinomial efficient digital filter.