Representing Smoothed Spectrum Estimate with the Cauchy Integral

Ming Li

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Representing Smoothed Spectrum Estimate with the Cauchy Integral

机译：用柯西积分表示平滑频谱估计

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摘要

Estimating power spectrum density (PSD) is essential in signal processing. This short paper gives a theorem to represent a smoothed PSD estimate with the Cauchy integral. It may be used for the approximation of the smoothed PSD estimate.

机译：估计功率谱密度（PSD）在信号处理中至关重要。这篇简短的论文给出了一个定理，用Cauchy积分表示平滑的PSD估计。它可以用于平滑的PSD估计的近似值。

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《Mathematical Problems in Engineering 》 |2012年第11期| 673049.1-673049.5| 共5页
作者
Ming Li;
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作者单位

School of Information Science & Technology, East China Normal University, No. 500, Dong-Chuan Road, Shanghai 200241, China,Department of Computer and Information Science, University of Macau, Padre Tomas Pereira Avenue, Taipa, Macau, China;

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1. Representing Smoothed Spectrum Estimate with the Cauchy Integral [J] . MingLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2012 ,第6期

机译：用柯西积分表示平滑频谱估计
2. Representing Smoothed Spectrum Estimate with the Cauchy Integral [J] . MingLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2012 ,第5期

机译：用柯西积分表示平滑频谱估计
3. Estimates of the Kolmogorov widths of classes of analytic functions representable by Cauchy-type integrals. [J] . Romanyuk V S. Украинский математический журнал . 2001 ,第2期

机译：柯西型积分可表示的解析函数类的Kolmogorov宽度的估计。
4. Representing spectral functions by a composite model of smooth andspiky components for efficient full-spectrum photorealism [C] . Yinlong Sun, Drew M.S., Fracchia F.D. 9th International Conference on Rehabilitation Robotics, 2005. ICORR 2005 . 2005

机译：用平滑和混合的复合模型表示光谱函数尖锐的组件可实现高效的全光谱写实
5. A new perspective on the Cauchy transform for non-smooth domains in the plane and applications. [D] . Lanzani, Loredana. 1997

机译：平面和应用中非光滑域的柯西变换的新观点。
6. THE PLEMELJ FORMULAS WITH UNRESTRICTED APPROACH, AND THE CONTINUITY OF CAUCHY-TYPE INTEGRALS [O] . Frederick Bagemihl 2013

机译：具有不受限制方法的PLEMELJ公式和Cauchy型积分的连续性
7. On the spectrum of operators concerned with the reduced singular Cauchy integral [O] . Герус О. Ф. 2009

机译：关于减少奇异柯西积分的算子的谱
8. Freidlin-Wentzell Type Estimates for a Class of Self-Similar Processes Represented by Multiple Wiener Integrals. [R] . Oodaira, H. 1989

机译：一类自相似过程的Freidlin-Wentzell型估计由多个Wiener积分表示。

Representing Smoothed Spectrum Estimate with the Cauchy Integral

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