卷积码的Matlab仿真及其性能研究

信道编码是数字通信系统中的重要组成部分,他是保证信号可靠传输的一种重要方式。卷积码以其优越的性能被广泛使用在数字通信系统中。(2,1,7)卷积编码已经是国际卫星通信的标准。介绍了卷积码的特点以及卷积码的编码、译码原理,主要讨论了卷积码的Viterbi译码及其算法,最后通过Matlab仿真,对卷积码的性能进行了理论分析和实验仿真。     

On the Prandtl Equation

The unique solvability of the airfoil (Prandtl) integro-differential equation on the semi-axis ⁺ = [0, ) is proved in the Sobolev space W _p ¹ and Bessel potential spaces H _p ^s under certain restrictions on p and s.     

A recursive design methodology for VLSI: Theory and example

A novel VLSI (Very Large Scale Integration) methodology based on the hierarchical design of computational and system blocks is presented. The underlying algorithms used are shown to optimise the area-time complexity (AT²) of the computational units and at the system design level. The technique is illustrated for a matrix-matrix multiplication by using an image processing window convolver. This paper describes the performance of the recursive design technique comparing it to a typical systolic array, and demonstrates how data word size and convolution size may be expanded by movement up the architectural hierarchy. A prototype CAD (Computer Aided Design) autolayout program is described which maps directly into the hierarchical design environment. Using such design aids, flexible and correct designs may be generated which offer very simple data flow and highly local interconnection, with high performance.     

关于Montgomery的一个问题

本文解决了Ｍｏｎｔｇｏｍｅｒｙ提出的一个问题．     

Flexibility in the length of convolutions computed using Fourier-like fast transform algorithms

An efficient method of achieving flexibility in the length of discrete convolutions, computed using Fourier and Fourier-like fast transform algorithms, is described. Then this method is extended to discrete multidimensional convolutions computed using polynomial transforms.     

Tail Calculus with Remainder,Applications to Tail Expansions for Infinite Order Moving Averages,Randomly Stopped Sums,and Related Topics

We derive asymptotic expansions for tails of infinite weighted convolutions of some heavy-tailed distributions. Applications are given to tail expansion of the marginal distribution of ARMA processes, randomly stopped sums, as well as limiting waiting time distribution. AMS 2000 Subject Classifications. Primary—62E99, Secondary—41A60, 44A35, 60G50, 60K25     

Lévy–Khintchine Formula and Dual Convolution Semigroups Associated with Laguerre and Bessel Functions

In this work we consider a system of partial differential operators D ₁,D ₂ on K=[0,+[×R, whose eigenfunctions are the functions (x,t), (x,t)K, =((R0)×N)(0×[0,+[), which are related to the Laguerre functions for ((R 0)×N)(0,0) and which are the Bessel functions for (0×[0,+[). We provide K and with a convolution structure. We prove a Lévy–Khintchine formula on K, which permits us to characterize dual convolution semigroups on .     

单部件可修系统的一个几何过程维修模型

本文研究了单部件、一个修理工组成的可修系统的最优更换问题,假定系统不能修复如新,以系统年龄T为策略,利用几何过程求出了最优的策略T^*,使得系统经长期运行单位时间内期望效益达到最大,并求出了系统经长期运行单位时间内期望效益的显式表达式。在一定条件下证明了T^*的唯一存在性。最后还证明了策略T^*比文献[6]中的策略T^*优。     

Certain Convolution Operators for Meromorphic Functions

Let (p N) be the class of functions analytic in 0 < |z| < 1. A convolution operator L_p(a, c) on p is introduced. This paper gives some sharp inequalities for f(z) satisfying Re{(1 – )z^pL_p(a, c) f(z) + z^pL_p(a + 1, c) f(z)} > , where 0, < 1, a > 0 and c 0, –1, –2,....AMS Subject Classification (1991) 30C45 30A10     

基于时域算法的频域陷波算法在扩频通信中的应用

介绍了一种新颖的频域陷波算法,以消除窄带干扰对通信的影响,并讨论了这种陷波算法在直接序列扩频通信中的应用。该算法将时域自适应滤波器中复杂的卷积运算转换为频域的相乘运算,从而减少了运算量,节省了资源,使得自适应陷波器更易于工程实现。仿真结果证实,该算法能有效地消除直接序列扩频方式中的窄带干扰。