模2加整体逼近二元和三元模2n加的噪声函数分析

整体逼近就是用一个弱密码函数替代一个强密码函数的攻击方法,这两个函数的模2和称为该整体逼近的噪声函数。该文研究了模2加整体逼近二元模2n加和三元模2n加时噪声函数的概率分布,给出了噪声函数的概率分布的计算公式以及噪声函数的概率值的平方和的计算公式。这些结果有助于掌握二元模2n加和三元模2n加对抗模2加的整体逼近攻击的能力。     

多维超Bent函数的构造

有限域Fp2m上的超Bent函数是与Fp上所有m序列的距离都达到最大的函数,该文研究了F22m 上超Bent函数与GF2m(2)上Bent函数之间的关系,对一类超Bent函数的性质作了深入细致的刻画,给出了有限域Fp2m上多维超Bent函数的两种构造方法．     

关于Bent函数的构造与分类

本文提出了一种构造Bent函数的新方法,依此可定出大量在实用中很重要的Bent函数;本文还对2次Bent函数进行仿射分类,证明了2次Bent函数仅有2类,并定出了其每一类中的代表函数;最后,本文研究了Bent函数的一阶广义相关免疫性。     

PS 类Bent函数的一种构造方法

PS 类bent函数类是所有2^(n/2)-1或2^(n/2)-1+1个Fⁿ₂的"不交的" n 2 维子空间的指示函数的模2和所组成的函数的集合.这些函数具有很好的代数结构并在密码学中有很多应用.如何来刻画 PS bent函数的代数范式一直是公开的难题.构造 PS 类bent函数关键在于如何将Fⁿ₂划分为2^n/2+1个 n 2 维子空间.本文给出一种划分的方法,从而构造出 PS 类bent函数,并给出了对应的代数范式.     

布尔函数的代数厚度

基于布尔函数的代数次数和代数厚度,给出了布尔函数和其分解函数的代数厚度的关系,利用递归和反证法导出了n元布尔函数代数厚度的上界是2* *(n-1),这个上界回答了"是否存在代数厚度大于2* *(n-1)的n元布尔函数"这个公开问题.在此基础上改进了n元k(2≤k≤(n-1)/2)次基本对称布尔函数的代数厚度的上界,同时也得到了布尔函数的代数厚度的一些性质.     

一类部分Bent函数的判定与构造

本文给出了具有线性结构布尔函数的Walsh谱值的计算公式,证明了布尔函数的非零谱值的个数与线性结构的个数之积不大于2~n,得到了Walsh谱值为⊥2~n,0的2n-1元布尔函数是否是部分Bent函数的判定定理,最后给出了这类部分Bent函数的一个构造方法。     

密码学中3类具有特殊Walsh谱值布尔函数的关系

从函数结构角度对Bent函数与Plateaued函数、部分Bent函数与Plateaued函数的关系进行了研究,指出了任意一个Bent函数都可拆分成2个Plateaued函数的链接,而Plateaued函数在满足一定条件下也可拆分成Bent函数的链接.给出了阶n-1Plateaued函数具有非零线性结构时与Bent函数的特殊关系,讨论了部分Bent函数可表示成2个Plateaued函数链接时的条件.研究结果进一步说明了这3类具有特殊Walsh谱值密码函数之间有着紧密的内在联系,为密码设计中使用此类函数提供了重要依据.     

利用特征矩阵构造Bent函数

本文首先研究了Bent函数特征矩阵的性质,并给出了Bent函数的一个等价判别条件。从而引出了Bent函数的一种新的构造方法:由一个已知的n(n≥2)元Bent函数的特征矩阵来构造n+2元Bent函数的特征矩阵。为Bent函数的构造和计数提供了一种新思路.     

均衡弹性函数的结构与弹性阶

弹性函数是相关免疫布尔函数的自然推广。本文讨论均衡弹性函数,得到以下结果:给出了均衡弹性函数的一种结构,并因此得到了由均衡(n,m,2t)弹性函数构造均衡(n+1,m,2t+1)弹性函数的非线性方法;证明了均衡线性函数的弹性阶等于对应线性分组码的码字最小重最减1,且弹性阶上确界常常能由非线性函数所达到。     

H_2~r函数的性质和构造

讨论了n维2~r阶Hadamard矩阵所对应的一类特殊逻辑函数(即H_2函数)的一些性质,讨论了它与Bent函数的关系,以及它的一些新构造法。     

一种非线性最大长度伪随机序列发生器的设计

伪随机序列在众多领域得到应用,研究伪随机序列的产生具有重要意义.基于m序列,首次提出采用特征函数构造非线性最大长度移位寄存器反馈函数.运用这种方法,构造了一类非线性反馈函数.根据该类反馈函数,设计了非线性伪随机序列发生器,并在FPGA(EPF10K)上得到实现.结果表明,该序列发生器生成的伪随机序列,周期长度,平衡特性、游程特性与m序列相同,非线性度较之得到提高,是难得的序列.     

基于母函数的非线性反馈函数及其子序列研究

 针对非线性最大长度移位寄存器反馈函数难以构造问题,本文提出了一种基于母函数构造非线性最大长度移位寄存器反馈函数方法.首先,我们阐述了母函数模3分类法,证明了各类母函数新的特征状态集,提取了母函数的特征式;其次,根据特征式对母函数的筛分特性合成了非线性m子序列移位寄存器反馈函数;最后,分析了该移位寄存器生成的伪随机序列,对其自相关值和线性复杂度进行了大量搜索.结果一致表明该序列不仅具有良好的周期特性、平衡特性、游程特性,还具有尖锐的自相关特性和理想的线性复杂度.     

Optical functional device by vertical and direct integration ofheterojunction phototransistor and laser diode

An optical device with various functions is actualized by integrating vertically and directly heterojunction phototransistors and a laser diode and by adjusting the internal optical feedback. The optical amplification with a good linearity between input and output lights is realized by suppressing the internal optical feedback. The large gain of over 100 is achieved in the wide wavelength range from 0.75 to 1.25 μm. The optical thresholding function is achieved by changing the load line in the case of the optical amplification. The optical switching function with large gain and high sensitivity is obtained by utilizing the internal optical feedback most effectively. The optical bistable function is obtained when the amount of the optical feedback becomes moderate. The optical feedback inside the device is theoretically investigated to explain these functions systematically     

How many users should be turned on in a multi-antenna broadcast channel?

This paper considers broadcast channels with L antennas at the base station and m single-antenna users, where L and m are typically of the same order. We assume that only partial channel state information is available at the base station through a finite rate feedback. Our key observation is that the optimal number of on-users (users turned on), say s, is a function of signal-to-noise ratio (SNR) and feedback rate. In support of this, an asymptotic analysis is employed where L, m and the feedback rate approach infinity linearly. We derive the asymptotic optimal feedback strategy as well as a realistic criterion to decide which users should be turned on. The corresponding asymptotic throughput per antenna, which we define as the spatial efficiency, turns out to be a function of the number of on-users s, and therefore s must be chosen appropriately. Based on the asymptotics, a scheme is developed for systems with finite many antennas and users. Compared with other studies in which s is presumed constant, our scheme achieves a significant gain. Furthermore, our analysis and scheme are valid for heterogeneous systems where different users may have different path loss coefficients and feedback rates.     

OPCI系统不同掺杂截面EYDFA增益瞬态的比较

为了研究分组与线路集成系统中突发模式大功率Er/Yb共掺光纤放大器(EYDFA)的瞬态性能,在函数极限的基础上采用迭代算法,建立了基于非线性方程速率方程的、不同掺杂截面EYDFA增益瞬态的比较模型,分析比较了有/无反馈条件下,不同掺杂截面的光分组(OPS)和光线路交换(OCS)输出信号的增益瞬态.结果表明,无反馈条件下,纤芯直径为4.6m的EYDFA,其OPS和OCS输出信号功率漂移小于纤芯直径为3.6m的EYDFA,功率漂移的改善约为12%;带反馈条件下,增大掺杂光纤直径,弛豫振荡导致的EYDFA增益抖动随之减小.故增大掺杂光纤直径,能有效抑制EYDFA反馈环路的弛豫振荡.     

Properties of Pump-Laser Modules Exposed to Polarization-Dependent and Wavelength-Selective Feedback From Fiber Bragg Gratings

The performance of fiber Bragg grating (FBG) stabilized pump-laser modules is strongly influenced by changes of the state of polarization (SOP) arising from intrinsic and/or induced birefringence of the fiber. Birefringence changes the SOP as the light propagates back and forth between laser and FBG, which are separated by a distance of 1 to 2 m. As a result, the effective wavelength-selective feedback provided by the FBG varies accordingly. Based on the steady-state solution of a set of multimode rate equations we present a new model allowing us to calculate the output characteristics of a grating-stabilized pump-laser module as function of effective feedback. An effective-reflector approach is applied to describe the external cavity between the front mirror and the FBG on the module's front side. The polarization- and wavelength-dependent effective feedback from the grating is taken into account by a feedback parameter in the equations for the effective reflector. We present an extended traveling-wave amplifier model for calculating the TE- and TM-polarized contributions to the power from all output ports of the module. Our model is verified by comparison of simulation results with experimental data for a typical FBG-stabilized pump-laser module. The output characteristics are analyzed as function of effective feedback for both the principal TE-polarization as well as the residual TM-polarization modes.     

Distributed feedback surface-emitting laser with air/semiconductor gratings embedded by mass-transport assisted wafer fusion technique

We report on a distributed feedback InGaAsP MQW laser with air/semiconductor gratings embedded by wafer-fusion technique with the assistance of mass-transport phenomenon for the first time. The air/semiconductor gratings with 0.4-/spl mu/m period and 0.2-/spl mu/m depth are successfully fabricated inside the device, and a single longitudinal mode oscillation at about 1.28 /spl mu/m is demonstrated under pulsed condition at room temperature. The threshold current density is estimated to be about 1.4 kA/cm/sup 2/. It is also shown that the device has a surface-emitting function since it has a low loss multiquantum-well waveguide with grating output coupler.     

A 20-Msample/s switched-capacitor finite-impulse-response filterusing a transposed structure

A programmable four-tap analog finite-impulse-response filter for use in a decision-feedback equalizer has been realized in a 2-μm double-poly CMOS process. It uses a modified transposed structure and double sampling to minimize power dissipation. Also, it uses programmable-gain sample-and-hold amplifiers with a constant feedback factor, input capacitance, and load to reduce the performance variation as a function of programming. The filter is fully differential, occupies an active area of 11.8 mm², and dissipates 56.5 mW     

Generalization of a Theorem for Replacing CCIIs by CFOAs in Current-Mode Circuits

A current feedback op-amp (CFOA) has the advantage that feedback structures in current-mode circuits are more easily devised because the voltage buffer at the output of the CFOA does not load the output of the integral positive, second-generation current conveyor (CCII⁺) that constitutes part of the CFOA. In this paper, the changes on the current mode transfer function of a linear circuit composed of a subnetwork connected to a CCII⁺ are determined when the CCII⁺ is replaced by a CFOA and a feedback component is connected from the output of the CFOA to an independent node of . Two applications of the results are provided. A new theorem is then presented which generalizes the results. This theorem should be useful for the comparison, synthesis, and improvement of linear current-mode signal processing circuits.     

Frequency-modulation noise in feedback oscillators

A system is described which measures the f.m. noise in a feedback oscillator. In this method, the oscillator's own frequency-determining network is made to function as the passive reference for a transmission-filter noise-measurement system with no degradation of sensitivity.