Dynamics of Single-Pulse Echo Signals under the Conditions of Zeeman Switching

The signals of a single-pulse echo (SE) generated on nonresonant excitation of an inhomogeneously broadened two-level system by a radio-frequency pulse (RFP), against the background of which a magnetic video pulse (MVP) of certain length has been switched on, have been described analytically. It is established that under the conditions of such excitation several SE signals are formed whose generation moments are determined by the duration and amplitudes of the RFP and MVP. The amplitudes of some of these signals depend on the Rabi frequency according to a quadratic law, and the amplitudes of others depend on this frequency according to a biquadratic law. It has been established that the mechanism underlying the appearance of these signals is associated with zero beats arising as a result of superposition of the magnetization fluctuations at variable frequencies and at a frequency of detuning from resonance. It is shown that in the limiting case, where the RFP duration considerably exceeds the duration of the MVP or is comparable with it, the number of SE signals decreases to two. Theoretical results on the formation of SE and the dependence of the amplitude of these signals on the MVP amplitude agree with the experimental data on NMR pulsed signals in ferromagnetic materials.     

DDS的雷达杂波信号模拟系统的研究

介绍了雷达杂波信号的建模与仿真原理，给出了一个基于直接数字频率合成的雷达杂波信号模拟系统的设计实例，该系统采用丁软硬件相结合形式，能灵活生成包括地杂波、海杂波、云雨杂波、箔条杂波在内的多种信号波形的雷达杂波回波信号。     

Contributions of Spin–Lattice Relaxation to the Echo Decay of Planar Cu in High-Temperature Superconductors

Measurement ofT_2G, the Gaussian component of the spin-echo envelope of planar Cu nuclei in high-temperature superconductors, gives important information about the real part of the Cu electron spin susceptibility. In the traditional picture of the planar Cu echo decay, the internuclear coupling is assumed to remain static with respect to spin–lattice relaxation and mutual exchange fluctuations. In some circumstances, however, this assumption breaks down. We calculate the internuclear corrections arising from spin–lattice relaxation to the conventional theory ofT_2Gand show thatT_2Gcan be easily corrected for these effects. We argue that mutual exchanges due to the perpendicular indirect couplings are suppressed in these materials. For YBa₂Cu₄O₈, we find a correction on the order of 10% inT_2Gand using the corrected values we find that the isotope ratio⁶³T_2G/⁶⁵T_2Gagrees with theory.     

回声信号处理综合实验设计及实现

针对学生对卷积和相关概念不清的问题,结合生活现象,本文设计了回声信号处理综合实验。实验内容包括回声产生、回声特性分析、回声消除,它将难以理解的卷积、自相关、互相关概念有机地串在一起,帮助学生理解和应用。实践表明,理论推导和实验编程相结合有助于学生将所学的知识融会贯通,且学生在做与生活密切联系的综合实验时,积极性高,收获大。     

求解多尺度目标电磁散射的积分方程快速算法

建立了大尺度分层粗糙面散射物理模型, 基于Kirchhoff近似、几何光学和射线追踪方法, 推导给出粗糙面散射场的计算公式, 提出了一种快速模拟机载正下视合成孔径雷达(Synthetic Aperture Radar, SAR)探测冰川回波的数值仿真方法, 以帮助分析实测数据.对SAR系统设计、雷达回波信号处理算法研究都有很大帮助, 可以应用到星体地下结构探测回波的模拟.理论公式及数值仿真结果验证了此数值仿真方法的正确性.在不同的仿真场景和雷达系统参数下, 数值仿真模拟了冰川散射回波, 定量分析了冰层表面粗糙度、次表面粗糙度、山体倾斜度、雷达系统参数等对天底区域和非天底区域散射回波的影响.本文的仿真方法可以快速计算任意大尺度特定地形所对应的雷达探测仪回波数据.     

基于频域逐级回归的声学回声控制

传统声学回声控制算法一般采用基于随机梯度法更新的频域分块自适应滤波(PBFDAF)方法,但在以语音为主要回声信号的室内混响环境中,由于回声路径不稳定,往往收敛速度较慢,难以实现足够的回声抑制。该文提出一种基于频域逐级回归的声学回声控制算法。通过逐级回归分析远端信号和麦克风信号之间的线性关系,可以在保持较小的偏差的同时实现收敛较快的系统估计。同时,由于逐级分析了两通道间的短时相干性,因而该算法无需像常见方法一样,额外进行基于通道间相干函数的残余回声抑制或双讲检测,从而保持系统的紧凑性。若进一步假定近端背景噪声准平稳,则可利用基于近端信号非平稳程度的自适应平滑因子,在实现系统估计快速收敛的同时确保其稳定性。实验表明,该方法在常见的近端环境噪声水平下,在收敛速度和稳态误差上相对传统方法有显著优势,非常适合应用在室内远讲模式下的声学回声控制中。     

基于开关电容阵列的高速多元激光回波数字化技术

设计了基于新型开关电容阵列技术的激光回波数字化系统,实现了每秒5G个采样点 (Gigabit Samples per Second, GSPS)的采样速率。利用单片模拟数字转换器件(Analog Digital Converter, ADC)实现了多元信号采样。该系统具有很大的发展潜力。介绍了多米诺环形采样器(Domino Ring Sampler, DRS)4的控制策略。设计了基于DRS4芯片的激光回波数字化电路,搭建了激光测试系统,并开展了基于DRS4的信号采样实验。实验结果表明,采用DRS4芯片进行激光回波数字化,能够达到最高5GSPS的采样速率,可实现多元系统设计,增大视场,同时降低系统功耗和成本。     

Mathematical Models for Unstable Quantum Systems and Gamow States

We review some results in the theory of non-relativistic quantum unstable systems. We account for the most important definitions of quantum resonances that we identify with unstable quantum systems. Then, we recall the properties and construction of Gamow states as vectors in some extensions of Hilbert spaces, called Rigged Hilbert Spaces. Gamow states account for the purely exponential decaying part of a resonance; the experimental exponential decay for long periods of time physically characterizes a resonance. We briefly discuss one of the most usual models for resonances: the Friedrichs model. Using an algebraic formalism for states and observables, we show that Gamow states cannot be pure states or mixtures from a standard view point. We discuss some additional properties of Gamow states, such as the possibility of obtaining mean values of certain observables on Gamow states. A modification of the time evolution law for the linear space spanned by Gamow shows that some non-commuting observables on this space become commuting for large values of time. We apply Gamow states for a possible explanation of the Loschmidt echo.     

基于MAC序列的相位编码准连续波的研究与应用

本文在讨论用二相编码信号构成的准连续波的数学模型和模糊函数的基础上,引入新的二元序列--MAC序列,并对其产生以及自相关特性进行了详细研究。通过对采用该序列编码的准连续波信号的周期单码重复时和多码重复的模糊函数进行仿真,其结果具有很好的图钉状,即有较高的距离和多普勒分辨率;并将MAC序列的相位编码准连续波应用在波形设计中,脉压仿真结果表明相比较m序列码,MAC序列更适用于目标检测。     

微镜阵列激光成像技术及其性能分析

提出了一种激光三维成像技术,该方法以推扫方式工作,采用数字微镜器件(Digital Mirror Device,DMD)来进行激光回波脉冲飞行时间(Time of Flight,TOF)的空间转换。由于目标上不同距离点回波脉冲的飞行时间不同,当脉冲到达时微透镜阵列将从一个状态转换到另一个状态,在接收端传感器焦平面上显示不同相对位置的条纹,利用条纹相对距离可以重建目标的剖面轮廓距离像。相比于其他三维成像技术,该技术具有成像速率高、探测视场角大、结构简单、体积小易于集成化等优点。