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Constrained Frequency-Domain Prony's Algorithm with Application to Time Delay Estimation

机译：约束频域prony算法及其在时延估计中的应用

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This paper presents a constrained frequency domain Prony algorithm. Requiring that all the roots of the z transformations of the solution be on the unit circle, makes appropriate transformations that map this unit circle onto a left half plane, which then allows us to use Sturm's theorem to check the number of roots in the left half plane. This newly formulated constraint is incorporated in the Prony's method in frequency domain. One of the applications of the method is in the decomposition of a mixture of delayed versions of a signal, where the constraint guarantees that the delays are real.

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作者
DeFigueiredo, R. J.; Pham, T. T.; Hu, C. L.;
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年度 1986
页码 p.1-18
总页数 18
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Signal processing; Algorithms; Frequency; Solutions(General); Decomposition; Delay; Estimates; Time intervals; Circles; Coefficients; Polynomials; Transformations(Mathematics);

机译：信号处理;算法;频率;解（通用）;分解;延迟;估计;时间间隔;圆;系数;多项式;变换（数学）;

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2. Short Time Algorithm of Power Waveforms Fundamental Harmonic Estimation With Use of Prony's Methods [J] . Janusz Mroczka, Jaros?aw Zygarlicki Metrology and Measurement Systems: Metrologia i Systemy Pomiarowe . 2011,第3期

机译：基于Prony方法的功率波形基本谐波估计的短时算法。
3. SHORT TIME ALGORITHM OF POWER WAVEFORMS FUNDAMENTAL HARMONIC ESTIMATION WITH USE OF PRONY'S METHODS [J] . Jaroslaw Zygarlicki, Janusz Mroczka Metrology and Measurement Systems: Metrologia i Systemy Pomiarowe . 2011,第3期

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4. A constrained frequency-domain Prony's algorithm with application to time delay estimation [C] . deFigueiredo, R.J.P., Pham, . 1988

机译：约束频域Prony算法在时延估计中的应用
5. OPTIMAL ESTIMATION ALGORITHMS FOR SYSTEMS WITH MULTIPLE TIME MODES AND DELAYED MEASUREMENTS. [D] . GAAFAR, WAYNE SAMIR. 1987

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6. Smooth Approximation l0-Norm Constrained Affine Projection Algorithm and Its Applications in Sparse Channel Estimation [O] . Yingsong Li, Masanori Hamamura -1

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7. An Algorithm for Real-Time Optimal Photocurrent Estimation including Transient Detection for Resource-Constrained Imaging Applications [O] . Zemcov, Michael, Crill, Brendan, Ryan, Matthew, 2016

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8. Algorithms for the Estimation of Time Delay and Time Delay Rate [R] . Chrysostomou, A. K., Hebbert, R. S. 1981

机译：时延和时延估计算法

Constrained Frequency-Domain Prony's Algorithm with Application to Time Delay Estimation

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