基于混沌系统互扰的流密码设计

提出了一种新的流密码设计方案,利用两个混沌系统产生的序列进行序列值和控制参数的互扰,得到新的密钥流序列.对互扰序列和Logistic序列进行NIST测试,证明新的流密码设计方案产生的互扰序列的密码学特性要好于单一混沌系统产生的密钥流序列;提出适用于混沌伪随机序列稳定性测试的k错近似熵定义,并将其应用于测试互扰序列及Logistic序列,结果显示,互扰序列的稳定性要好于Logistic序列.将互扰序列用作图像的加密和解密,仿真结果显示,互扰序列能够有效且安全地掩盖明文信息. 关键词： 混沌系统 互扰序列 密钥流     

基于线性反馈移位寄存器和混沌系统的伪随机序列生成方法

结合线性反馈移位寄存器（LFSR）和混沌理论各自的优点,采用循环迭代结构,给出一种将LFSR和混沌理论相结合的伪随机序列生成方法.首先根据LFSR的计算结果产生相应的选择函数,通过选择函数确定当前迭代计算使用的混沌系统,应用选择的混沌系统进行迭代计算产生相应的混沌序列;然后把生成的混沌序列进行数制转换,在将得到的二进制序列作为产生的伪随机序列输出的同时将其作为反馈值与LFSR的反馈值进行相应的运算,运算结果作为LFSR的最终反馈值,实现对LFSR生成序列的随机扰动.该方法既可生成二值伪随机序列,也可生成实值伪随机序列.通过实验对生成的伪随机序列进行了分析,结果表明,产生的序列具有良好的随机性和安全性. 关键词： 线性反馈移位寄存器 混沌系统 伪随机序列 随机性     

Size dependent complexity of sequences in protein families

The size dependent complexity of protein sequences in various families in the FSSP database is characterized by sequence entropy, sequence similarity and sequence identity. As the average length L_f of sequences in the family increases, an increasing trend of the sequence entropy and a decreasing trend of the sequence similarity and sequence identity are found. As L_f increases beyond 250, a saturation of the sequence entropy, the sequence similarity and the sequence identity is observed. Such a saturated behavior of complexity is attributed to the saturation of the probability P_g of global (long-range) interactions in protein structures when L_f >250. It is also found that the alphabet size of residue types describing the sequence diversity depends on the value of L_f, and becomes saturated at 12.     

基于通信序列熵的复杂网络传输容量

网络的传输性能在一定程度上依赖于网络的拓扑结构.本文从结构信息的角度分析复杂网络的传输动力学行为,寻找影响网络传输容量的信息结构测度指标.通信序列熵可以有效地量化网络的整体结构信息,为了表征网络整体传输能力,把通信序列熵引入到复杂网络传输动力学分析中,研究网络的通信序列熵与传输性能之间的关联特性,分析这种相关性存在的内在机理.分别在BA无标度和WS小世界网络模型上进行仿真,结果显示:网络的通信序列熵与其传输容量存在密切关联性,随着通信序列熵的增加,网络拓扑结构的均匀性随之增强,传输容量明显增加.网络的传输容量是通信序列熵的单调递增函数,与通信序列熵成正关联关系.通信序列熵可有效评估网络的传输容量,本结论可为设计高传输容量网络提供理论依据.     

A new two-dimensional pulse sequence for T(2)* measurements of protons in (13)C isotopomers

A new two-dimensional pulse sequence for T(2)* measurement of protons directly coupled to (13)C spins is proposed. The sequence measures the tranverse relaxation time of heteronuclear proton single-quantum coherence under conditions of free precession and is therefore well suited to evaluate relaxation losses of proton magnetization during preparation delays of heteronuclear pulse experiments in analytical NMR. The relevant part of the pulse sequence can be inserted as a "building block" into any direct or inverse detecting H,C correlation pulse sequence if proton spin-spin relaxation is to be investigated. In this contribution, the building block is inserted into a HETCOR as well as into a HMQC pulse sequence. Experimental results for the HETCOR-based sequence are given.     

Analysis ofJCoupling-Induced Fat Suppression in DIET Imaging

The DIET (ordualintervalechotrain) sequence, a modification of thefastspinecho (FSE) sequence that selectively reduces signal from fat in MR images, has been investigated. The DIET sequence uses an initial echo spacing longer than that of a conventional FSE sequence, thus allowingJcoupling-induced dephasing to take effect. The sequence is evaluated theoretically, and its effectiveness on a hydrocarbon (1-pentene) is demonstrated numerically using density matrix calculations. The sequence is also evaluated experimentally usingin vitrosolutions andin vivoimaging. The efficacy of the sequence is compared for different lipid chemical structures, field strengths, and pulse sequence parameters.     

一种改进的核磁共振测井测量脉冲序列

提出了一种可以提高核磁共振测井测量速度的新型测量脉冲序列,它基于对原有CPMG测量脉冲序列的改进.在原有的测量序列中,在一个CPMG脉冲序列结束之后,直接进行等待(T₁延时),以使磁化强度矢量能够完全恢复到平衡位置,然后再进行下一个CPMG脉冲序列的测量.由于测井仪器的连续运动,在测量含有长T₁成分的地层时,等待时间需要取得较长,使得测井速度很低.但在实际地层中,恰恰又是油气的T₁较长,这无疑给核磁共振测井带来了麻烦.作者发现,如果在一个CPMG脉冲序列结束之后在-x方向先施加一个90°脉冲(或在x方向施加一个270°脉冲),再进行等待,就能更好地使长T₁成分得到极化,从而缩短等待时间、提高测量速度.文中对这种改进后的脉冲序列进行了计算和分析,证明它确实具有一定的优越性.     

粉末样品中氘核NMR的回波序列

本文提出一个回波序列,它由四个90和一个45脉冲构成,具有较宽的激发带宽和较短的激发时间,可用于氘核NMR固体线型的测量之中,数值计算结果表明该回波序列的激发带宽几乎比传统的四极回波宽一倍。²D-PMMA粉末样品的实验结果证实了本文设计的回波序列的优越性。     

A New Two-Dimensional Pulse Sequence for T2* Measurements of Protons in C Isotopomers

A new two-dimensional pulse sequence for T₂* measurement of protons directly coupled to ¹³C spins is proposed. The sequence measures the tranverse relaxation time of heteronuclear proton single-quantum coherence under conditions of free precession and is therefore well suited to evaluate relaxation losses of proton magnetization during preparation delays of heteronuclear pulse experiments in analytical NMR. The relevant part of the pulse sequence can be inserted as a “building block” into any direct or inverse detecting H,C correlation pulse sequence if proton spin–spin relaxation is to be investigated. In this contribution, the building block is inserted into a HETCOR as well as into a HMQC pulse sequence. Experimental results for the HETCOR-based sequence are given.     

Cumulants and moments

We introduce a ¹-algebra of terminating sequences. The set of normalized linear functionals on this algebra is then equipped with a quasi-multiplication and thus with a multiplication. A state corresponds to a sequence of moments. With it we associate its sequence of cumulants. The quasi-multiplication relates cumulants and moments in a very easy way. We give necessary and sufficient conditions for a sequence to be a sequence of moments and necessary and sufficient conditions for a sequence to be a sequence of cumulants.     

Towards predicting the encoding capability of MR fingerprinting sequences

Sequence optimization and appropriate sequence selection is still an unmet need in magnetic resonance fingerprinting (MRF). The main challenge in MRF sequence design is the lack of an appropriate measure of the sequence's encoding capability. To find such a measure, three different candidates for judging the encoding capability have been investigated: local and global dot-product-based measures judging dictionary entry similarity as well as a Monte Carlo method that evaluates the noise propagation properties of an MRF sequence. Consistency of these measures for different sequence lengths as well as the capability to predict actual sequence performance in both phantom and in vivo measurements was analyzed. While the dot-product-based measures yielded inconsistent results for different sequence lengths, the Monte Carlo method was in a good agreement with phantom experiments. In particular, the Monte Carlo method could accurately predict the performance of different flip angle patterns in actual measurements. The proposed Monte Carlo method provides an appropriate measure of MRF sequence encoding capability and may be used for sequence optimization.     

Synchronization of wakefield modes in the dielectric resonator

Multimode excitation of a wakefield in a planar dielectric resonator by a regular sequence of relativistic electron bunches is studied analytically and numerically. It is shown that, if the wakefield being excited consists of a large number of radial modes, the fields from the regular sequence of the bunches add together. Conditions under which this sequence provides synchronization of the dielectric resonator modes are found. Acceleration of a test bunch in the wakefield of the bunch sequence is studied.     

Selective detection of ordered sodium signals by a jump-and-return pulse sequence

A simple pulse sequence, derived from the shaped pulse optimally exciting the central transition of a spin 3/2, can be used to selectively detect ordered sodium with a given quadrupolar coupling. The pulse sequence consists of two pulses with opposite phases and separated by a delay, called a quadrupolar jump-and-return (QJR) sequence. This QJR sequence is tested with a phantom made of sodium ions in bacteriophage and in aqueous solution and its feasibility for contrast modification based on the quadrupolar coupling is demonstrated.     

Encoding Individual Source Sequences for the Wiretap Channel

We consider the problem of encoding a deterministic source sequence (i.e., individual sequence) for the degraded wiretap channel by means of an encoder and decoder that can both be implemented as finite-state machines. Our first main result is a necessary condition for both reliable and secure transmission in terms of the given source sequence, the bandwidth expansion factor, the secrecy capacity, the number of states of the encoder and the number of states of the decoder. Equivalently, this necessary condition can be presented as a converse bound (i.e., a lower bound) on the smallest achievable bandwidth expansion factor. The bound is asymptotically achievable by Lempel–Ziv compression followed by good channel coding for the wiretap channel. Given that the lower bound is saturated, we also derive a lower bound on the minimum necessary rate of purely random bits needed for local randomness at the encoder in order to meet the security constraint. This bound too is achieved by the same achievability scheme. Finally, we extend the main results to the case where the legitimate decoder has access to a side information sequence, which is another individual sequence that may be related to the source sequence, and a noisy version of the side information sequence leaks to the wiretapper.     

Omnidirectional Single-negative Gap and in Fibonacci Sequences Composed of Single-negative Materials

The band structures of Fibonacci sequence composed of single-negative materials are studied with a transfer matrix method. A new type of omnidirectional single-negative gaps is found in the Fibonacci sequence. In contrast to the Bragg gaps, such an omnidirectional single-negative gap is insensitive to the incident angles and polarization, and is invariant upon the change of the ratio of the thicknesses of two media. It is found that omnidirectional single-negative gap exists in the other Fibonacci sequence, and it is rather stable and independence of the structure sequence.     

Divergence and Shannon information in genomes

Shannon information (SI) and its special case, divergence, are defined for a DNA sequence in terms of probabilities of chemical words in the sequence and are computed for a set of complete genomes highly diverse in length and composition. We find the following: SI (but not divergence) is inversely proportional to sequence length for a random sequence but is length independent for genomes; the genomic SI is always greater and, for shorter words and longer sequences, hundreds to thousands times greater than the SI in a random sequence whose length and composition match those of the genome; genomic SIs appear to have word-length dependent universal values. The universality is inferred to be an evolution footprint of a universal mode for genome growth.     

基于PC机的脉冲序列发生器

为了降低谱仪的复杂性和成本，文中提出了基于PC机的脉冲序列发生器设计方案. 详细讨论了在Windows 98和Windows XP下通过关中断的方法来保证脉冲序列时序的精度和稳定性，通过实验给出了基于PC机的脉冲序列发生器的短期稳定度和长期稳定度，最后通过自旋回波实验直接验证了该方案的可行性.     

A trace formula for the nodal count sequence

The sequence of nodal count is considered for separable drums. A recently derived trace formula for this sequence stores geometrical information of the drum. This statement is demonstrated in detail for the Laplace-Beltrami operator on simple tori and surfaces of revolution. The trace formula expresses the cumulative sum of nodal counts This sequence is expressed as a sum of two parts: a smooth (Weyl like) part which depends on global geometrical parameters, and a fluctuating part which involves the classical periodic orbits on the torus and their actions (lengths). The geometrical context of the nodal sequence is thus explicitly revealed.     

Efficient Quantum Private Communication Based on Dynamic Control Code Sequence

Based on chaos and quantum properties, we propose a quantum private communication scheme with dynamic control code sequence. The initial sequence is obtained via chaotic systems, and the control code sequence is derived by grouping, XOR and extracting. A shift cycle algorithm is designed to enable the dynamic change of control code sequence. Analysis shows that transmission efficiency could reach 100 % with high dynamics and security.