Study on the Matrix Pencil Method with Application to Predict Time-domain Response of a Reverberation Chamber
Keywords:
Digital band-pass filter, FDTD, matrix pencil method, reverberation chamber, signal predictionAbstract
The full wave simulation of reverberation chamber in time domain usually takes large computational time because of its resonant characteristic. This contribution makes the pioneer exploration of accelerating this kind of simulation by time-domain signal prediction. The prediction technique is based on the well known matrix pencil method (MPM). An approximation to the existing MPM is proposed to obtain a new kind of MPM, which is more computationally efficient. To conduct the prediction effectively, the signal’s oversampling should be avoided and the singular values appeared in MPM should be judged appropriately. The signal can be resampled according to Nyquist sampling law while the singular values can be selected by the newly proposed criterion based on cavity theory. For wideband time-domain responses, it is suggested to apply digital band-pass filter before prediction to get higher precision. Using the proposed methods, the computational time can be reduced almost 50 % for the reverberation chamber’s FDTD simulation.
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References
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