Conal Distances Between Rational Spectral Densities

Baggio Giacomo; Ferrante Augusto; Sepulchre Rodolphe

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Conal Distances Between Rational Spectral Densities

机译：合理光谱密度之间的圆锥距离

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摘要

This paper generalizes Thompson and Hilbert metrics to the space of spectral densities. The resulting complete metric space has the differentiable structure of a Finsler manifold with explicit geodesics. The corresponding distances are filtering invariant, can be computed efficiently, and admit geodesic paths that preserve rationality; these are properties of fundamental importance in many engineering applications.

机译：本文将汤普森和希尔伯特指标概括为光谱密度的空间。由此产生的完整度量空间具有具有显式大动物的Finsler歧管的可微弱结构。相应的距离是过滤不变的，可以有效地计算，并承认保持合理性的测地路径;这些是许多工程应用中基本重要性的属性。

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来源
《IEEE Transactions on Automatic Control》 |2019年第5期|1848-1857|共10页
作者
Baggio Giacomo; Ferrante Augusto; Sepulchre Rodolphe;
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作者单位

Univ Calif Riverside Dept Mech Engn Riverside CA 92521 USA;

Univ Padua Dipartimento Ingn Informaz I-35131 Padua Italy;

Univ Cambridge Dept Engn Cambridge CB2 1PZ England;

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正文语种 eng
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关键词
Conal distances; Finsler geometry; Hilbert metric; linear filtering; rational spectral densities; spectral estimation; speech morphing; Thompson metric;

机译：康斯勒几何;希尔伯特公制;线性滤波;合理光谱密度;光谱估计;语音变形;汤普森公制;

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专利

1. Conal Distances Between Rational Spectral Densities [J] . Baggio Giacomo, Ferrante Augusto, Sepulchre Rodolphe IEEE Transactions on Automatic Control . 2019,第5期

机译：有理光谱密度之间的圆锥形距离
2. Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral Densities [J] . Giacomo Baggio, Augusto Ferrante Automatic Control, IEEE Transactions on . 2019,第1期

机译：离散有理光谱密度的最小光谱因子的参数化
3. Vibrational spectral investigation, NBO, first hyperpolarizability and UV-Vis spectral analysis of 3,5-dichlorobenzonitrile and m-bromobenzonitrile by ab initio and density functional theory methods [J] . Kumar J. Senthil, Jeyavijayan S., Arivazhagan M. Spectrochimica acta, Part A. Molecular and biomolecular spectroscopy . 2015,第Pta2期

机译：通过从头算和密度泛函理论方法对3,5-二氯苄腈和间溴苄腈进行振动光谱研究，NBO，首次超极化和紫外可见光谱分析
4. ANÁLISIS ESPECTRAL DEL SONIDO OBTENIDO CON TUDELES DE OBOE FABRICADOS CON DIFERENTES MATERIALES [C] . I. Navalón Sala, M.T. Sala Milvaques, C. Blasco-Yepes, 46th Spanish National Congress on Acoustics and Iberian Congress on Acoustics 2015 . 2015

机译：用不同材料制成的OBOE模型获得的声音的频谱分析
5. UWB ultra-low-power short distance FIR spectrally shaped NRZ transmission: Chip-to-chip wireless communication circuit example [D] . Siddiqui, Sameera 2008

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6. Hyperspectral Image-Based Night-Time Vehicle Light Detection Using Spectral Normalization and Distance Mapper for Intelligent Headlight Control [O] . Heekang Kim, Soon Kwon, Sungho Kim 2016

机译：基于光谱归一化和距离映射器的基于高光谱图像的夜间车灯检测用于智能大灯控制
7. Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral Densities [O] . Baggio, Giacomo, Ferrante, Augusto 2017

机译：离散时间有理数的最小谱因子的参数化光谱密度

Conal Distances Between Rational Spectral Densities

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