The aim of this chapter is to review: (1) the Sampling (Nyquist) Theorem; (2) the concept of aliasing; (3) the importance of antialiasing low-pass filtering for eliminating the effect of aliasing and appropriately determining the sampling frequency; (4) the advantages of properly chosen ...
This paper starts with new aliasing-truncation error upper bounds in the sampling theorem for non-bandlimited stochastic signals. Then, it investigates Lp([0, T]) approximations of the sub-Gaussian random signals. Explicit truncation error upper bounds are established. The obtained rate of convergenc...
To properly measure a signal,the digital sampling rate must be at least twice the highest frequency contained within that signal. This is known as theNyquist sampling theorem. The aliasing phenomenon is not confined to MRI but is present in all types of technology, explaining audible distortions ...
采样频率,所以将stride从4调整为2,与之相应的将...kernel size也缩小(可以认为stride变小了,kernel没有必要看那么大范围了),这样修改前后,特征的变化情况如下图所示,第1层呈现了更多更具区分力的特征,第二2层的特征也更加清晰,没有aliasing...更多关于aliasing的内容,可以参见Nyquist–Shannon sampling theorem和...
Aliasing is a problem that is very well defined in signal theory. According to the general sampling theorem we need to have our signal spectrum containing only frequencies lower than Nyquist frequency. If we don’t (and when rasterizing triangles we always will as triangle edge is infinite frequ...
Oversampling infrequencydirection, done by increasing thesamplingfrequency, prevents thisaliasingartifact. The properfrequencybased on thesamplingtheorem (Shannonsamplingtheorem/Nyquistsamplingtheorem) must be at least twice thefrequencyof eachfrequencycomponent in the incoming signal. Allfrequencycomponents above...
ShanghaiInstituteofTechnology SchoolofMechanicalEngineering Chapter6Anti-aliasingMethodsandSampling Strategies Introduction: LastChapter5showedhowtoestimatethemaximumsamplingrateofan hardwareacquisitionstructure,startingfromitscharacteristicfeatures.The samplingtheorem,discussedinChapter3,provesthat,inordertoensurea correct...
LI Hu-An,GS Fang - 《Frontiers of Mathematics in China》 被引量: 0发表: 2006年 Reconstruction of Non-Bandlimited Functions by Multidimensional Sampling Theorem of Hermite Type In this paper, we prove that under some restricted conditions, the non-bandlimited functions can be reconstructed by th...
•Letx(t)beacontinuoussignalwhichistobesampled,andthatsamplingisperformedbymeasuringthevalueofthecontinuoussignaleveryTseconds.Thus,thesampledsignalx[n]isgivenby x[n]=x(nT)withn=0,1,2,3,...Thesamplingfrequencyorsamplingratefsis definedasthenumberofsamplesobtainedinone second,orfs=1/T.Thesamplingra...
采样(Sampling) 采样是将连续信号转换为离散信号的过程,它通过在一定的时间间隔内对信号进行测量来实现。 在频率域中,采样过程等价于将原始信号的频谱在频率轴上重复(或镜像)。怎么理解? 首先看一个例子,如下图所示(https://www.researchgate.net/figure/The-evolution-of-sampling-theorem-a-The-time-domain-of-...