机械研究与应用
機械研究與應用
궤계연구여응용
MECHANICAL RESEARCH & APPLICATION
2015年
2期
6-8
,共3页
傅立叶变换%分辨率%精度
傅立葉變換%分辨率%精度
부립협변환%분변솔%정도
Fourier transform%resolution ratio%precision
在传统的傅立叶变换算法中,选取的分析数据长度和频率分辨率有直接关系,而在实际工程应用中,如果选取的分析数据长度过短,则频率分辨率过低,而且可能导致计算的幅值小于真实值,产生较大的误差,如果选取分析数据长度较长,会提高分辨率,但会引发新的问题,在该段数据内,信号的频率不一定是稳定的,依然会导致计算结果误差过大。针对该问题,提出了一种改良的傅立叶算法,在不增加分析数据长度的同时,提高算法的分辨率和精度。
在傳統的傅立葉變換算法中,選取的分析數據長度和頻率分辨率有直接關繫,而在實際工程應用中,如果選取的分析數據長度過短,則頻率分辨率過低,而且可能導緻計算的幅值小于真實值,產生較大的誤差,如果選取分析數據長度較長,會提高分辨率,但會引髮新的問題,在該段數據內,信號的頻率不一定是穩定的,依然會導緻計算結果誤差過大。針對該問題,提齣瞭一種改良的傅立葉算法,在不增加分析數據長度的同時,提高算法的分辨率和精度。
재전통적부립협변환산법중,선취적분석수거장도화빈솔분변솔유직접관계,이재실제공정응용중,여과선취적분석수거장도과단,칙빈솔분변솔과저,이차가능도치계산적폭치소우진실치,산생교대적오차,여과선취분석수거장도교장,회제고분변솔,단회인발신적문제,재해단수거내,신호적빈솔불일정시은정적,의연회도치계산결과오차과대。침대해문제,제출료일충개량적부립협산법,재불증가분석수거장도적동시,제고산법적분변솔화정도。
In the traditional Fourier transform algorithm, the frequency resolution has direct relation to the length of the select-ed analytical data, but in the practical engineering application, if the length of the selected analytical data is too short, its fre-quency resolution must be too low, moreover it may cause larger error because the calculating amplitude is smaller than the re-al value;but if the length of the selected analytical data is too long, its frequency resolution will be enhanced, and then it may cause the new problem that the frequency of this data may be instable and it may cause error to the calculating result as usual. A new method is put forward in this paper to such problems abovementioned, and the improved Fourier transform algorithm can improve the resolution and the precision without increasing the length of the selected analytical data.