针对A/D转换器在采样和量化过程中产生的量化噪声问题,提出一种基于分数阶傅里叶变换的量化噪声抑制方法.利用经典量化器的统计特性,分析出量化噪声在分数阶傅里叶域具有白噪声特性,利用过采样和分数阶傅里叶域数字滤波方法对输入信号的量化噪声进行抑制,提高信号质量.理论推导和仿真结果表明,该方法能够有效抑制量化噪声,提高A/D转换器的输出信噪比,而且针对线性调频等信号的量化噪声抑制效果优于传统傅里叶域的方法.
For the quantization noise occurs during the process of sampling and quantization in the A/D converter,a novel method based on the fractional Fourier transform was proposed to suppress the quantization noise.According to the statistical property of the classical quantizer,the quantization noise was proved to be white noise in the fractional Fourier domain.By means of oversampling and digital filtering in the fractional Fourier domain,the quantization noise of the input signal could be suppressed,and the signal quality was improved.Theoretical result and simulation show that the novel method can suppress the quantization noise effectively,and improve the output signal-to-quantization-noise ratio of the A/D converter.In addition,the novel method exhibits a better quantization noise reduction performance than the traditional method in the Fourier domain,especially when the linear frequency modulation signal is processed.