共查询到17条相似文献,搜索用时 62 毫秒
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α尺度多重双正交小波包的L2(R)分解 总被引:1,自引:0,他引:1
小波包的方法能对高频信号进行小波分解,给出了频域带更精细的划分。本文研究α尺度多重双正交小波包的性质,讨论α尺度多重双正交小波包的分解,给出L^2(R)的双正交基。 相似文献
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基于正交单尺度函数,给出一种构造2重正交多尺度函数的方法。也给出对应正交多小波的显式构造公式。由于构造的2重正交多尺度函数中的个是所给的正交单尺度函数,另一个是新构造出的函数,因此这种多小波比相关的单小波具有更好的频率局部性。 相似文献
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给出α尺度正交多尺度函数一种新的构造方法。α尺度正交的多尺度函数可由任意α尺度正交的单尺度函数及滤波器组构造出来的。由于α尺度单正交尺度函数选取的任意性和用于构造的滤波器组具有相当大的自由度,从而使得有可能构造出大量的具有很好性质的α尺度的多尺度函数,进而得到良好性质的多小波。 相似文献
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摘要:研究伸缩因子为3紧支撑对称双正交小波的构造问题.任给一个插值对称的加细函数,本文提供 一个构造其对偶尺度函数的迭代算法,其对偶尺度函数的正则性可以达到任意水平,讨论了它的一些性 质,如对称性和衰减性.最后,给出构造算例. 相似文献
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为了进一步推动小波理论的应用,近些年来在离散数据环境中开始了对框架小波(也称为framelets)和框架小波包的研究工作.在$\ell^2(Z)$中构造$J$-级框架小波包的方法已经由鲁大勇和易华给出.然而,如何去使用这类小波包的细节却没有给出.为了进一步丰富由鲁和易提出的$J$-级框架小波包理论体系,该文给出了快速的分解和重构算法,运用该算法可以建立不同尺度层之间小波框架系数的关系.另外,为了方便该类框架小波包的应用,文中给出了$\ell^2(Z)$中一些实用框架小波包的具体数据.文中最后通过一个数值实验展示了该类框架小波包的完美重构性质. 相似文献
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A scaling-theory approach that yields the scaled thermodynamics in the critical region as the solution of an ordinary differential equation is given, along with a power-series isocline representation of the solution yielding a polynomial fit of a high accuracy. A means of extending the approach to the whole liquid-state region through a self-consistent integral equation for the radial distribution function is discussed. An alternative integral-equation approach and a simple application of scaling-theory results that has already been found to be globally useful are also noted.Invited paper presented at the Ninth Symposium on Thermophysical Properties, June 24–27, 1985, Boulder, Colorado, U.S.A. 相似文献
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If A is a nonsingular matrix such that its inverse is a stochastic matrix, the
classic Brouwer fixed point theorem implies that the matrix equation AXA = XAX has
a nontrivial solution. An explicit expression of this nontrivial solution is found via
the mean ergodic theorem, and fixed point iteration is considered to find a nontrivial
solution. 相似文献
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Jiu Ding Chenhua Zhang & Noah H. Rhee 《East Asian journal on applied mathematics.》2013,3(4):352-362
The Yang-Baxter-like matrix equation $AXA = XAX$ is reconsidered, and an
infinite number of solutions that commute with any given complex square matrix A are
found. Our results here are based on the fact that the matrix A can be replaced with its
Jordan canonical form. We also discuss the explicit structure of the solutions obtained. 相似文献
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Seung-Nam Park Bong-Hak Kim Chul-Woung Park Dong-Hoon Lee 《International Journal of Thermophysics》2008,29(1):301-311
The radiance temperature scale from 500K to 1,250K was realized by using a thermal detector transfer reference thermometer
(TRT) with its spectral response centered at 3.9μm. The TRT is calibrated at the four fixed points of tin, zinc, aluminum,
and silver, and the scale is obtained by interpolation with Wien’s equation, Planck’s equation, the Sakuma–Hattori (SH) formula,
and a Planckian SH (PSH) formula. The interpolation uncertainty dramatically decreases as the physical model for the interpolation
equations becomes more realistic. The uncertainty of the scale is evaluated, including the repeatability of the calibration
and the long-term stability of the TRT over a period of more than 20 months. The realized scale over part of the interpolation
region was validated by comparing it with the ITS-90, resulting in excellent agreement within 0.09 K. The resulting uncertainty
of the realized scale varies from 0.06K to 0.38K (k = 1), depending on the temperature. 相似文献
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侯宇 《中国计量学院学报》2010,21(3)
介绍了准正交滤波器及其小波,以及正则性的3个命题。运用尺度函数正则性命题分析了长度为2N的准正交小波的正则性,得到正则指标值.对于N=3,4,5,正则指标分别是α3=1.546 4,α4=1.446 4和α5=1.571 0. 相似文献