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线性调频Z变换在信号频谱分析中的应用
引用本文:徐建军,胡光东,李锦明.线性调频Z变换在信号频谱分析中的应用[J].应用基础与工程科学学报,2009,6(6):966-972.
作者姓名:徐建军  胡光东  李锦明
作者单位:1. 中北大学机电工程学院,山西,太原,030051
2. 电子测试技术国家重点实验室,仪器科学与动态测试教育部重点实验室,山西,太原,030051
摘    要:由于快速傅里叶变换(Fast Fourier Transform,FFT)算法不能精确反应信号的局部频谱特性,对此,本文以按时间抽取(DIT)的基-2FFT算法为基础,并参考基于FFT的布鲁斯坦(Bluestein)算法,设计了新的信号频谱分析软件,用于对实序列采样信号做线性调频Z变换,即频率抽样处在Z平面上,可沿任意螺线做频率抽样的频谱分析方法.结合工程实践对相同采样点数的信号在0—50Hz频率段做频谱分析,由频谱图可以看到,采用线性调频Z变换算法远比采用FFT变换算法求得信号的频谱更精确.

关 键 词:频谱分析  线性调频Z变换  快速傅里叶变换算法  频谱分辨率

Chirp-Z Transform and its Applications in Spectrum Analysis
XU Jianjun,HU Guangdong,LI Jinming.Chirp-Z Transform and its Applications in Spectrum Analysis[J].Journal of Basic Science and Engineering,2009,6(6):966-972.
Authors:XU Jianjun  HU Guangdong  LI Jinming
Abstract:FFT(fast fourier transform) algorithm can not present the characteristic of local spectrum precisely. Regarding this, in this paper was designed a new software for spectrum analysis, based on radix 2 based decimation in time FFT and Bluestein FFT algorithm, which realized chirp-z transform on real sequence sampling signa. The frequency spectrum analysis method that can frequency sample along the arbitrary spire in the Z-plane. in practice we do spectrum analysis to the same signal at the sampling points of 0-50Hz frequency bands, from the chart of spectrum. Results show that the Signal spectrum using Chirp Z Transform Algorithm is more accurate compared with using Transform FFT algorithm.
Keywords:spectrum analysis  chirp-z transform  FFT algorithm  spectrum resolution
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