针对奇异值分解(Singular value decomposition, SVD)的频率分离问题,研究了SVD对单个频率的分离条件,发现SVD分离单个频率的效果取决于各频率的幅值差异。若不同频率的幅值很接近,则SVD就不能分离这些频率,由此提出一种频率添加SVD算...针对奇异值分解(Singular value decomposition, SVD)的频率分离问题,研究了SVD对单个频率的分离条件,发现SVD分离单个频率的效果取决于各频率的幅值差异。若不同频率的幅值很接近,则SVD就不能分离这些频率,由此提出一种频率添加SVD算法。为了提取原信号中的特征频率,先对原信号添加该频率的理想正弦信号,使原信号中该频率成分和其他频率的幅值产生差异,从而实现对该频率成分的提取,从理论上证明此算法的可行性。仿真信号处理实例表明,即使对于频率值非常接近的两个频率,频率添加SVD算法亦可将它们准确分离,分离结果波形误差小,克服了原来SVD频率分离算法的缺陷。将此算法应用某转子系统的振动特征提取,准确地提取到振动的高阶倍频,发现高阶倍频振幅的周期性波动特征,并分析这种振幅周期性波动的原因。展开更多
We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed(IID) random variables for sub-linear expectations initiated by Peng.It turns out...We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed(IID) random variables for sub-linear expectations initiated by Peng.It turns out that these theorems are natural and fairly neat extensions of the classical Kolmogorov's strong law of large numbers to the case where probability measures are no longer additive. An important feature of these strong laws of large numbers is to provide a frequentist perspective on capacities.展开更多
Soil microbial biomass is critical for biogeochemical cycling and serves as precursor for carbon(C)sequestration.The anthropogenic nitrogen(N)input has profoundly changed the pool of soil microbial biomass.However,tra...Soil microbial biomass is critical for biogeochemical cycling and serves as precursor for carbon(C)sequestration.The anthropogenic nitrogen(N)input has profoundly changed the pool of soil microbial biomass.However,traditional N deposition simulation experiments have been exclusively conducted through infrequent N addition,which may have caused biased effects on soil microbial biomass compared with those under the natural and continuous N deposition.Convincing data are still scarce about how the different N addition frequencies affect soil microbial biomass.By independently manipulating the frequencies(2 times vs.12 times N addition yr^(–1))and the rates(0–50 g N m^(−2) yr^(−1))of N addition,our study aimed to examine the response of soil microbial biomass C(MBC)to different N addition frequencies with increasing N addition rates.Soil MBC gradually decreased with increasing N addition rates under both N addition frequencies,while the soil MBC decreased more at low frequency of N addition,suggesting that traditional studies have possibly overestimated the effects of N deposition on soil microbial biomass.The greater soil microbial biomass loss with low N frequency resulted from the intensifed soil acidifcation,higher soil inorganic N,stronger soil C and N imbalance,less net primary production allocated to belowground and lower fungi to bacteria ratio.To reliably predict the effects of atmospheric N deposition on soil microbial functioning and C cycling of grassland ecosystems in future studies,it is necessary to employ both the dosage and the frequency of N addition.展开更多
文摘针对奇异值分解(Singular value decomposition, SVD)的频率分离问题,研究了SVD对单个频率的分离条件,发现SVD分离单个频率的效果取决于各频率的幅值差异。若不同频率的幅值很接近,则SVD就不能分离这些频率,由此提出一种频率添加SVD算法。为了提取原信号中的特征频率,先对原信号添加该频率的理想正弦信号,使原信号中该频率成分和其他频率的幅值产生差异,从而实现对该频率成分的提取,从理论上证明此算法的可行性。仿真信号处理实例表明,即使对于频率值非常接近的两个频率,频率添加SVD算法亦可将它们准确分离,分离结果波形误差小,克服了原来SVD频率分离算法的缺陷。将此算法应用某转子系统的振动特征提取,准确地提取到振动的高阶倍频,发现高阶倍频振幅的周期性波动特征,并分析这种振幅周期性波动的原因。
基金supported by National Natural Science Foundation of China(Grant No.11231005)
文摘We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed(IID) random variables for sub-linear expectations initiated by Peng.It turns out that these theorems are natural and fairly neat extensions of the classical Kolmogorov's strong law of large numbers to the case where probability measures are no longer additive. An important feature of these strong laws of large numbers is to provide a frequentist perspective on capacities.
基金supported by the National Natural Science Foundation of China(42130515 and31770506)the Open Foundation of the State Key Laboratory of Urban and Regional Ecology of Chinathe Open Foundation of the State Key Laboratory of Grassland Agro-ecosystems of China。
文摘Soil microbial biomass is critical for biogeochemical cycling and serves as precursor for carbon(C)sequestration.The anthropogenic nitrogen(N)input has profoundly changed the pool of soil microbial biomass.However,traditional N deposition simulation experiments have been exclusively conducted through infrequent N addition,which may have caused biased effects on soil microbial biomass compared with those under the natural and continuous N deposition.Convincing data are still scarce about how the different N addition frequencies affect soil microbial biomass.By independently manipulating the frequencies(2 times vs.12 times N addition yr^(–1))and the rates(0–50 g N m^(−2) yr^(−1))of N addition,our study aimed to examine the response of soil microbial biomass C(MBC)to different N addition frequencies with increasing N addition rates.Soil MBC gradually decreased with increasing N addition rates under both N addition frequencies,while the soil MBC decreased more at low frequency of N addition,suggesting that traditional studies have possibly overestimated the effects of N deposition on soil microbial biomass.The greater soil microbial biomass loss with low N frequency resulted from the intensifed soil acidifcation,higher soil inorganic N,stronger soil C and N imbalance,less net primary production allocated to belowground and lower fungi to bacteria ratio.To reliably predict the effects of atmospheric N deposition on soil microbial functioning and C cycling of grassland ecosystems in future studies,it is necessary to employ both the dosage and the frequency of N addition.
