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采样定理的拓展——一种新的非均匀采样规则 被引量:6

Extension of the Sampling Theorem—A New Non-Uniform Sampling Rule
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摘要 由于采样定理用来指导采样时段内信号的均匀采样 (或重采样 ) ,但在实际中需要进行非均匀采样 ,因此提出了一种新的非均匀采样规则 ,即让短时采样频率大于等于 2倍的信号短时最大频率 ,以指导非均匀采样 (或重采样 )。经用两个仿真信号验证说明 ,非均匀采样的数据用样条插值恢复只有很小的数值误差 ,说明该规则是可行的 ,并将它与传统的非均匀采样定理做了比较 。 The traditional sampling theorem is usually used to guide the uniform sampling(or re-sampling) during the total sampling period.However there are many practical situations in which non-uniform sampling is needed or has to be performed.For example,the sampling intervals are controlled by hand,or the signal frequency component changes too much with the time,and so on.This paper extends the traditional sampling theorem into a new non-uniform sampling rule.The short time sampling frequency must be at least twice the short time signal maximum frequency.Two simulated signals validate the feasibility of the rule,and the comparison of the rule with the conventional non-uniform theorem is given.
出处 《振动.测试与诊断》 EI CSCD 2003年第1期14-17,共4页 Journal of Vibration,Measurement & Diagnosis
基金 国家自然科学基金资助项目 (编号 :5 990 5 0 11 60 2 75 0 41)
关键词 非均匀采样 采样 采样定理 短时采样频率 non-uniform sampling sampling sampling theorem short time sampling frequency
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