Fast Analysis of Reverberation Chamber Using FDTD Method and Matrix Pencil Method With New Criterion for Determining the Number of Exponentially Damped Sinusoids

• Published in: IEEE transactions on electromagnetic compatibility 2014-06, Vol.56 (3), p.510-519
• Main Authors: Cui, Yaozhong, Wei, Guanghui, Wang, Song, Fan, Lisi, Zhao, Yang
• Format: Article
• Language: English
• Subjects: Accuracy; Algorithms; Applied sciences; Computers in experimental physics; Data analysis: algorithms and implementation; data management; Electrical and electronic components, instruments and techniques; Electrical noise and shielding, interference; Electromagnetic compatibility; Exact sciences and technology; Extrapolation; Finite difference methods; Finite-difference time domain (FDTD); Fluctuation phenomena, random processes, noise, and brownian motion; Information, signal and communications theory; Instruments, apparatus, components and techniques common to several branches of physics and astronomy; matrix pencil (MP) method; Noise; Physics; reverberation chamber (RC); Reverberation chambers; Statistical physics, thermodynamics, and nonlinear dynamical systems; Telecommunications and information theory; Time-domain analysis; Transmission line matrix methods
• ISSN: 0018-9375; 1558-187X
• DOI: 10.1109/TEMC.2013.2294691

A simple and fast criterion for determining the number of exponentially damped sinusoids in the matrix pencil method is presented by calculating the reduction rate of the singular values of signal matrix. Comparing with the conventional criteria, this new criterion is more convenient without considering the factor of signal-to-noise ratio, and ensures the high computational efficiency and accuracy, which has been verified. Since the sizes of numerical errors or noise of the time-domain response in the reverberation chamber (RC) are difficult to determine, this new criterion is suitable for the response in the RC. By using the matrix method with the new criterion, the temporal responses of electric field in the RC are well extrapolated according to the early response calculated by the finite-difference time-domain method, and so the simulation time is dramatically reduced. Fast and efficient analysis of the RC can be realized.