Gaussian quadrature and acceleration of convergence

The aim of this paper is to take up again the study done in previous papers, to the case where the integrand possesses an algebraic singularity within the interval of integration. The singularities or poles close to the interval of integration considered in this paper are only real or purely imaginary. This revised version was published online in August 2006 with corrections to the Cover Date.     

Error expansions for multidimensional trapezoidal rules with Sidi transformations

In 1993, Sidi introduced a set of trigonometric transformations x = ψ(t) that improve the effectiveness of the one-dimensional trapezoidal quadrature rule for a finite interval. In this paper, we extend Sidi's approach to product multidimensional quadrature over [0,1] ^N . We establish the Euler–Maclaurin expansion for this rule, both in the case of a regular integrand function f(x) and in the cases when f(x) has homogeneous singularities confined to vertices. This revised version was published online in August 2006 with corrections to the Cover Date.     

Sard-optimal prefilters for the Fast Wavelet Transform

A direct input of function samples into the Fast Wavelet Transform often gives inaccurate results. We use the refinement equation for the construction of prefiltering quadrature formulas which are optimal in Sard's sense, i.e.,in the standard class of functions with ‖ f ^(p)‖₂ < ∞. A detailed analysis of the error and several applications are given. This revised version was published online in August 2006 with corrections to the Cover Date.     

CMOS多相位滤波器的优化与合成

开发了一个新颖的考虑布局因素的用于射频CMOS多相位滤波器的优化和合成工具——PPFOPTIMA.在优化引擎中使用了遗传算法用来避免局部的优化解.实验结果证明PPFOPTIMA是射频CMOS多相位滤波器设计和优化中有效的计算机辅助设计工具     

On the stability of Volterra integral equations with a lagging argument

Stability properties of numerical methods for Volterra integral equations with lagging argument are considered. Some suitable definitions for the stability of the numerical methods are included, and plots of the stability regions for particular cases are included.     

Some error expansions for Gaussian quadrature

Complex-variable methods are used to obtain some expansions in the error in Gaussian quadrature formulae over the interval [– 1, 1]. Much of the work is based on an approach due to Stenger, and both circular and elliptical contours are used. Stenger's theorem on monotonicity of convergence of Gaussian quadrature formulae is generalized, and a number of error bounds are obtained.     

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS

ＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＯＰＥＲＡＴＯＲＳＡＮＤＳＩＮＧＵＬＡＲＱＵＡＤＲＡＴＵＲＥＯＰＥＲＡＴＯＲＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＥＱＵＡＴＩＯＮＳＯＦＴＨＥＦＩＲＳＴＫＩＮＤＡＮＤＴＨＥＩＲＡＰＰＬＩＣＡＴＩ...     

UWB雷达LFM脉压信号数字产生系统性能分析

超宽带雷达线性调频（LFM）脉冲压缩信号产生系统是现代雷达技术的重要研究内容之一。该文基于波形存储直读法，提出了一种超宽带线性调频信号数字产生系统方案。对系统中幅度量化位数、采样频率、正交调制器误差和传输系统频域失真等因素对输出信号性能的影响进行了深入的理论分析，计算机仿真验证了这些分析结果。所得结论为超宽带LFM信号产生系统工程实现时参数选择、性能评估和性能优化提供重要的理论依据。     

Approximation of the Weighted Hilbert Transform on the Real Line by an Interpolatory Process

An algorithm for the approximate evaluation of the Hilbert transform has been proposed. The convergence of the procedure is proved. The stability of the algorithm is considered and some numerical examples are given.This revised version was published online in October 2005 with corrections to the Cover Date.     

基于802.11a标准的CMOS正交调制器和上变频器

采用0.18μm CMOS工艺,设计并实现了应用于WLAN IEEE 802.11a的正交调制器和上变频器.正交调制器在传统的Gilbert单元基础上,采用负反馈跨导放大器来提高线性度;上变频器采用LC谐振网络作混频器负载来提高增益和电压输出摆幅.测试结果表明,在1.8V电源电压下,谐振频率点的1dB压缩点P1dB为-3.6dBm,功率转换增益为-3.6dB,电流消耗大约45.8mA.