Decomposition of exponential sums based on subspace and its application in channel estimation by Zhiwei WU, Haiquan WANG, Meihui LI, Xinyu ZHANG, Taoxin QIAN

“…The problem of the decomposition of an exponential sum sequence is a classical mathematical problem.Prony method and Prony-Kung method are the classical methods to solve this problem.The Prony-Kung method was analyzed in detail from the point of view of support subspace.On this basis, it was proved theoretically that the problem of the decomposition of an exponential sum sequence could be reduced to the determination of the support subspace, and a Lloyd-like algorithm with low-complexity for searching the support subspace for contaminated exponential sum sequence by noised was proposed.Finally, the above algorithm was applied to estimate millimeter wave channel, and the simulation results show the effectiveness of this application.…”
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Short-hair black holes and the strong cosmic censorship conjecture by Zhiqin Tu, Meirong Tang, Zhaoyi Xu

“…Using the WKB method, Prony method, Lyapunov exponent, and Weak Gravity Conjecture (WGC), the behavior of a short-hair black hole under different parameter conditions was systematically analyzed. …”
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Small signal stability in low-renewable power systems: A 138 kV Santo Domingo case study by Ángel José Sánchez-Sánchez, Miguel Aybar-Mejía, Víctor Ernesto Peralta-Maxwell, Ángel Dagoberto Germán-Encarnación, Eduardo De León-Concepción, Deyslen Mariano-Hernández

“…Advanced mathematical techniques address these issues, such as the Fourier transform and the Prony method. In this study, a method was developed using MATLAB, and flow runs were performed in Digsilent software to analyze the oscillations of small signals in a 138 kV substation with low penetration of renewable energy. …”
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