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991.
992.
Feng Dai 《Transactions of the American Mathematical Society》2007,359(2):567-589
In this paper we introduce a polynomial frame on the unit sphere of , for which every distribution has a wavelet-type decomposition. More importantly, we prove that many function spaces on the sphere , such as , and Besov spaces, can be characterized in terms of the coefficients in the wavelet decompositions, as in the usual Euclidean case . We also study a related nonlinear -term approximation problem on . In particular, we prove both a Jackson-type inequality and a Bernstein-type inequality associated to wavelet decompositions, which extend the corresponding results obtained by R. A. DeVore, B. Jawerth and V. Popov (``Compression of wavelet decompositions', Amer. J. Math. 114 (1992), no. 4, 737-785).
993.
994.
小波分析在层析图像重构中的应用研究 总被引:1,自引:1,他引:0
小波分析作为一种非平稳信号分析方法,具有良好的时( 空)、频局部化特性和多分辨率特性。介绍了小波分析的基本原理和应用,引入小波分析进行图像重构,利用小波分解后得到的多分辨率的稀疏矩阵表示,设计了一迭代重构算法。通过计算机仿真试验,验证了小波分析在计算层析(CT) 成像光谱技术中能够应用于图像重构,并证实了小波分析的迭代重构算法是稳定、多分辨率和快速收敛的。 相似文献
995.
Hacene Serrai Arijitt Borthakur Lotfi Senhadji Ravinder Reddy Navin Bansal 《Journal of magnetic resonance (San Diego, Calif. : 1997)》2000,142(2):341
The application of continuous wavelet transform (CWT) analysis technique is presented to analyze multiple-quantum-filtered (MQF) 23Na magnetic resonance spectroscopy (MRS) data. CWT acts on the free-induction-decay (FID) signal as a time-frequency variable filter. The signal-to-noise ratio (SNR) and frequency resolution of the output filter are locally increased. As a result, MQF equilibrium longitudinal magnetization and the apparent fast and slow transverse relaxation times are accurately estimated. A developed iterative algorithm based on frequency signal detection and components extraction, already proposed, was used to estimate the values of the signal parameters by analyzing simulated time-domain MQF signals and data from an agarose gel. The results obtained were compared to those obtained by measurement of signal height in frequency domain as a function of MQF preparation time and those obtained by a simple time-domain curve fitting. The comparison indicates that the CWT approach provides better results than the other tested methods that are generally used for MQF 23Na MRS data analysis, especially when the SNR is low. The mean error on the estimated values of the amplitude signal and the apparent fast and slow transverse relaxation times for the simulated data were 2.19, 6.63, and 16.17% for CWT, signal height in frequency domain, and time-domain curve fitting methods, respectively. Another major advantage of the proposed technique is that it allows quantification of MQF 23Na signal from a single FID and, thus, reduces the experiment time dramatically. 相似文献
996.
A novel circular Haar wavelet (CHW), which is obtained by a radially distributed polarization state, is proposed. Optical wavelet transforms using the proposed CHW are implemented by computer simulations. The proposed CHW is shown to have remarkable features: (1) it is useful for detecting outlines of input images; (2) one polarization component is available for extracting an edge feature along a required direction; and (3) unlike the previously proposed CHW (Z. He and S. Sato: Opt. Lett. 19 (1994) 686), this one can be applied to a multi-resolution edge extraction (Y. Sheng, D. Roberge and H. H. Szu: Opt. Eng. 31 (1992) 1840). 相似文献
997.
PRP技术是IEEE 802.17定义的一种在环型结构上优化数据业务传送的新型MAC层协议,能适应多种物理层,可以有效地传送话音、数据、视频等多种类型的业务。介绍了RPR(弹性分组环)的技术特点、实现方案以及在城域传送网中的应用。 相似文献
998.
从关键技术、技术特点等方面对3G中WCDMA和cdma2000两种技术标准的演进路线进行了介绍。指出了在现 有移动通信系统的传输能力已经不能完全满足不断发展的移动数据业务的情况下,演进型3G技术的发展已 成为大势所趋。 相似文献
999.
1000.
I.IntroductionRalldomvibrationoftenoccursinpracticalellgilleeringproblclllsl'l.Forexalllple,theunevellroadexcitesthewheelwithuncertainnZagnitudeandirregulartimelapseandresultsinrandonlvibrationofvehicle,whcllsufferingfromearthquakeor11urricallc,tilestructurewillvibraterandomly.Thewaytostudyrandomvibrationisusillgmathematicaltool,randomprocessestheory,todcalwithvibrationproblem,soitisveryilnporlant1'L,r1.alldomvibrationstudyingtostudytilel.andolllprocesses.Genel'ally.thestudyofrandomprocesses… 相似文献