电工技术学报2016，Vol.31Issue(11)：22-31,10.
有限字长对滑动窗DFT稳定性的影响研究
Research of Finite-Word-Length Effects on the Stability of the Sliding DFT
摘要
Abstract
The sliding discrete Fourier transform( DFT ) can experience instability issues due to the accumulation and amplification of the errors introduced by the finite-word-length effects in real practical discrete systems. In this paper,the quantization noise of A-D,the quantization error of the twiddle factors,and the rounding error of arithmetic operations are taken into consideration to analyze their influences on the stability of the sliding DFT based on the statistical properites of random signals. Based on the detailed analysis,it is revealed that the rounding error of arithmetic operations is the key reason to cause the unstable phenomenon. Both simulation and experimental results validate the theoretical analysis of instability issue of the sliding DFT. To deal with this instability problem,two methods are proposed to eliminate the error accumulation and amplification through swapping the calculation sequences of the sliding DFT. Extensive simulations and experiments are provided to verify the effectiveness of the proposed solutions.关键词
有限字长效应/滑动窗DFT/稳定性/舍入误差Key words
Finite-word-length effects/sliding DFT/stability/rounding errors分类
信息技术与安全科学引用本文复制引用
刘华吾,胡海兵,邢岩..有限字长对滑动窗DFT稳定性的影响研究[J].电工技术学报,2016,31(11):22-31,10.基金项目
江苏省产学研联合创新资金前瞻性研究项目资助（BY2014003-12）。 （）
