Fast evaluation of lightning electromagnetic fields based on matrix pencil method in time domain

Zhang, Yin; Liao, Cheng; Shang, Yuping

doi:10.1002/mop.32738

Cited by 6 publications

(2 citation statements)

References 15 publications

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“…At the same time, the matrix pencil method (MPM) is also an excellent frequency domain fitting technique. This method realizes the fast fitting of frequency domain data by expressing frequency domain signals in the sum of rational functions 10,11 . Compared with the VF method, the staring poles are not required by the MPM.…”

Section: Introductionmentioning

confidence: 99%

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Time‐domain analysis of parameters in the fitting of multiport frequency‐dependent system through matrix pencil method

Zhang

Liao

Shang

et al. 2021

Micro & Optical Tech Letters

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In this letter, in this process of using matrix pencil method (MPM) to perform the equivalent of the multiport frequency‐dependent system, a modified MPM is proposed to realize the solutions of common poles and residue matrix in time domain. In this technique, the frequency domain data of all ports are transformed into the time domain matrix vectors by IFFT. Then, the time domain matrix vectors are superimposed into a single vector, which is analyzed by the MPM to generate a common set of poles. The residue matrix is obtained by using the least square method to solve the equation consisting of the common poles and the time domain matrix vectors. The fast evaluation of the frequency domain data of the multiport frequency‐dependent system can be thus completed by the common poles and residue matrix. Finally, the correctness of the proposed method is verified by a three‐conductor transmission lines system.

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Section: Introductionmentioning

confidence: 99%

“…This method realizes the fast fitting of frequency domain data by expressing frequency domain signals in the sum of rational functions. 10,11 Compared with the VF method, the staring poles are not required by the MPM. Moreover, the number of poles can be artificially determined according to the data accuracy.…”

Section: Introductionmentioning

confidence: 99%