Title :
On the Relationship Between Correlation Length and Rate of Fluctuation of Random Fields
Author_Institution :
Nat. Physical Lab., Teddington
Abstract :
We show that the correlation length of a random field, modelled as a real wide-sense stationary stochastic process, defines a lower limit on the average squared rate of fluctuation of the field. For a sample-continuous process, the uncertainty relation between the correlation length and the spectral bandwidth exhibits a lower limit that depends explicitly on the selected correlation threshold level and implicitly on the functional form of the correlation function. We discuss implications of this result on how a selected correlation threshold relates to the estimated levels of field distortion and maximum amplitude of mode-stirred reverberation fields.
Keywords :
correlation methods; electromagnetic compatibility; electromagnetic fields; random processes; spectral analysis; stochastic processes; correlation length; correlation threshold level; electromagnetic compatibilty; field distortion; fluctuation rate; maximum amplitude; mode-stirred reverberation field; random fields fluctuation; sample-continuous process; spectral bandwidth; stationary stochastic process; uncertainty relation; Amplitude estimation; Bandwidth; Electromagnetic compatibility; Electromagnetic fields; Fluctuations; MIMO; Reverberation; Statistical distributions; Stochastic processes; Uncertainty; Coherence; correlation; electromagnetic compatibility (EMC); random fields;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.2007.902198