Method for array gain and phase uncertainties calibration based on ISM and ESPRIT

A new method for array calibration of array gain and phase uncertainties, which severely degrade the performance of spatial spectrum estimation, is presented. The method is based on the idea of the instrumental sensors method （ISM）, two well-calibrated sensors are added into the original array. By applying the principle of estimation of signal parameters via rotational invariance techniques （ESPRIT）, the direction-of-arrivals （DOAs） and uncertainties can be estimated simultaneously through eigen-decomposition. Compared with the conventional ones, this new method has less computational complexity while has higher estimation precision, what＇s more, it can overcome the problem of ambiguity. Both theoretical analysis and computer simulations show the effectiveness of the proposed method.

Study on fast calibration of a ULA's gain and phase error

Array calibration is important in engineering practice. In this paper, fast calibration methods for a ULA's gain and phase errors both in far and near fields are proposed. In the far field, using a single sound source without exact orientation, this method horizontally rotates the array exactly once, performs eigen value decomposition for the covariance matrix of received data, then computes the gain and phase error according to the formulas. In the near field, using the same single sound source, it is necessary to rotate the array horizontally at most three times, build equations according to geometric relations, then solve them. Using the formula proposed in this paper, spherical waves are modified into plane waves. Then eigen values decomposition is performed. These two calibration methods were shown to be valid by simulation and are fast, accurate and easy to use. Finally, an analysis of factors influencing estimation precision is given.

Phase-dependent inversionless gain in a four-level atomic system with a closed interaction loop

A four-level atomic system with a closed interaction loop connected by two coherent driving fields and a microwave field is investigated. The results show that inversionless gain can be achieved on a higher frequency transition outside the closed interaction loop, and the gain behaviour can be modulated by the phase of the closed loop as well as the amplitude of the microwave field. The phase sensitivity property in such a scheme is similar to that in an analogous configuration with spontaneously generated coherence, but it is beyond the rigorous condition of near-degenerate levels with non-orthogonal dipole moments. Therefore this scheme is much more convenient in experimental realization.

DOA estimation for mixed signals with gain-phase error array

Most of the direction of arrival(DOA) estimation methods often need the exact array manifold, but in actual applications,the gain and phase of the channels are usually inconsistent, which will cause the estimation invalid. A novel direction finding approach for mixed far-field and near-field signals with gain-phase error array is provided. Based on simplifying the space spectrum function by matrix transformation, DOA of far-field signals is obtained. Consequently, errors of the array are acquired according to the orthogonality of far-field signal subspace and noise subspace.Finally, DOA of near-field signals can be estimated. The method merely needs one-dimensional spectrum searching, so as to improve the computational efficiency on the premise of ensuring a certain accuracy, simulation results manifest the effectiveness of the method.

the phase-dependent gain without inversion in a Doppler broadened open four-level system

It is shown that in a Doppler broadened open N-type four-level atomic system with spontaneously generated coherence （SGC）, the gain without inversion （GWI） is very sensitive to the variation of the relative phase between the probe field and the driving field; the atomic exit rate （R0） and the ratio （S） of the atomic injection rates have a considerable modulation effect on the phase-dependent GWI. GWI first increases and then decreases with R0 increasing; in a certain value range of S, GWI increases monotonically with S increasing; by adjusting the values of R0 and S, in an open system a much larger GWI can be obtained than in the corresponding closed system [2011 Phys. Rev. A 83 043805]. The modulation effects of R0 and S on the phase-dependent GWI in the case with the counter-propagating probe and driving fields are stronger than those in the co-propagating case, GWI in the co-propagating case is much larger than that in the counter-propagating case.

Novel cued search strategy based on information gain for phased array radar

A search strategy based on the maximal information gain principle is presented for the cued search of phased array radars. First, the method for the determination of the cued search region, arrangement of beam positions, and the calculation of the prior probability distribution of each beam position is discussed. And then, two search algorithms based on information gain are proposed using Shannon entropy and Kullback-Leibler entropy, respectively. With the proposed strategy, the information gain of each beam position is predicted before the radar detection, and the observation is made in the beam position with the maximal information gain. Compared with the conventional method of sequential search and confirm search, simulation results show that the proposed search strategy can distinctly improve the search performance and save radar time resources with the same given detection probability.

Polynomial-Based Evaluation of the Impact of Aperture Phase Taper on the Gain of Rectangular Horns

The aperture phase taper due to quadratic phase errors in the principal planes of a rectangular horn imposes signifi-cant constraints on the on-axis far-field gain of the horn. The precise calculation of gain reduction involves Fresnel integrals;therefore, exact results are obtained only from numerical methods. However, in horns’ analysis and design, simple closed-form expressions are often required for the description of horn-gain. This paper provides a set of simple polynomial approximations that adequately describe the gain reduction factors of pyramidal and sectoral horns. The proposed formulas are derived using least-squares polynomial regression analysis and they are valid for a broad range of quadratic phase error values. Numerical results verify the accuracy of the derived expressions. Application examples and comparisons with methods in the literature demonstrate the efficacy of the approach.

Effect of stimulated Brillouin scattering on the gain saturation of distributed fiber Raman amplifier and its suppression by phase modulation

For distributed fiber Raman amplifiers（DFRAs）, stimulated Brillouin scattering（SBS） can deplete the pump once occurring and consequently generate gain saturation. On the basis of such a theory, theoretical gain saturation powers in DFRAs with various pump schemes are obtained by calculating SBS thresholds in them, and the experimental results show that they are in excellent agreement with the calculation results. The saturation power of the DFRA with a 300 m W forward pump is as low as 0 d Bm, which needs to be enhanced by phase modulation, and the effect is quantitatively studied. A simple model taking both modulation frequency and index into consideration is presented by introducing a correction factor to evaluate the effect of phase modulation on the enhancement of saturation power. Experimentally, it is shown that such a correction factor decreases as the modulation frequency increases and approaches zero when the modulation frequency becomes high enough. In particular, a phase modulation with a modulation frequency of 100 MHz and a modulation index of 1.380 can enhance the saturation power by 4.44 d B, and the correction factor is 0.25 d B, in which the modulation frequency is high enough. Additionally, the factor is 1.767 d B for the modulation frequency of 25 MHz. On this basis,phase modulations with various indexes and a fixed frequency of 25 MHz are adopted to verify the modified model, and the results are positive. To obtain the highest gain saturation power, the model is referable. The research results provide a guide for the design of practical DFRAs.

Modulation of atomic exit and injection rates on the phase-dependent gain without inversion in a Doppler broadened open four-level system

It is shown that in a Doppler broadened open N-type four-level atomic system with spontaneously generated coherence (SGC), the gain without inversion (GWI) is very sensitive to the variation of the relative phase between the probe field and the driving field; the atomic exit rate (R0) and the ratio (S) of the atomic injection rates have a considerable modulation effect on the phase-dependent GWI. GWI first increases and then decreases with R0 increasing; in a certain value range of S, GWI increases monotonically with S increasing; by adjusting the values of R0 and S, in an open system a much larger GWI can be obtained than in the corresponding closed system [2011 Phys. Rev. A 83 043805]. The modulation effects of R0 and S on the phase-dependent GWI in the case with the counter-propagating probe and driving fields are stronger than those in the co-propagating case, GWI in the co-propagating case is much larger than that in the counter-propagating case.

自激式混合原子自旋振荡器的实验研究

基于碱金属-惰性气体混合自旋体系的原子共磁力计被广泛应用于寻找新相互作用、暗物质粒子等基础物理研究,以及惯性导航与生物磁探测等现实应用领域.基于Rb-Xe原子共磁力计,我们实现了一种自激式的混合原子自旋振荡器.其原理是在z轴方向上使用圆偏振光将碱金属原子极化,碱金属与惰性气体原子在高温下发生碰撞,进而将惰性气体的核自旋极化.当外磁场存在时,核自旋磁矩将在磁力矩的作用下以拉莫尔频率绕外磁场进动.在x方向上使用线偏振光进行探测,可得到原子自旋振荡信号,通过将光检信号放大、滤波、移相再施加到横向激励磁场线圈上,产生的交变磁场同步驱动核自旋进动,实现闭环自激的原子自旋无衰减振荡信号.本文从实验角度研究了该自旋振荡器的开环频率响应特性,及闭环状态下的自旋振荡频率移动随增益、相位参数变化的关系.实验结果与前期理论预期基本符合,并为提高该振荡器的频率稳定性提供重要参考.

Fabrication of 1.3μm InGaAsP/InP Gain-Coupled DFB Lasers with Loss Grating Using LPE Technique

In this paper,the fabrication of 1.3μm InGaAsP/InP gain-coupled DFB lasers with lossgrating is reported for the first time.A technique of regrowth on corrugated surface usingLPE is developed.By using GaAs as the cover of thermal protection and controlling theamount of the super cooling,high quality epitxial layers on corrugated surface are obtained.The oxide stripe lasers with a stripe width of 20μm are fabricated.Single-mode oscillation isachieved at 1.293μm,and a high single-mode oscillation yield is also obtained.

Effects of relative phase on transient evolution in an open resonant ladder-type atomic system

In an open ladder-type resonant atomic system, variation in relative phase between probe and driving fields does not affect the transient evolution of populations, but it has remarkable effects on gain and dispersion of the probe field. No matter whether an incoherent pump is present or absent, transient and stationary gains without inversion （GWI） always can be obtained by choosing an appropriate value of the relative phase. When the incoherent pump is absent, the values of transient and stationary GWIs are much larger and the time interval required to reach the stationary value is longer than those when the incoherent pump is present. Varying the exit rate and the ratio between injection rates can obviously change the phase-dependent GWI. In addition, in the transient evolution process, the phenomenon of high dispersion （refractive index） without absorption occurs at some values of relative phase. In the corresponding closed system, the stationary GWI can be obtained by choosing an appropriate value of relative phase only when incoherent pump exists, moreover the gain is smaller than that in the open system.

DESIGN AND ANALYSIS OF MULTI-STEP AMPLITUDE QUANTIZATION WEIGHTED 2-D SOLID-STATE ACTIVE PHASED ARRAY ANTENNAS

An aperture design technique using multi-step amplitude quantization for two-dimensional solid-state active phased arrays to achieve low sidelobe is described. It can be applied to antennas with arbitrary complex aperture. Also, the gain drop and sidelobe degradation due to random amplitude and phase errors and element (or T/R module) failures are investigated.

Cued search algorithm with uncertain detection performance for phased array radars

A cued search algorithm with uncertain detection performance is proposed for phased array radars. Firstly, a target search model based on the information gain criterion is presented with known detection performance, and the statistical characteristic of the detection probability is calculated by using the fluctuant model of the target radar cross section （RCS）. Secondly, when the detection probability is completely unknown, its probability density function is modeled with a beta distribution, and its posterior probability distribution with the radar observation is derived based on the Bayesian theory. Finally simulation results show that the cued search algorithm with a known RCS fluctuant model can achieve the best performance, and the algorithm with the detection probability modeled as a beta distribution is better than that with a random selected detection probability because the model parameters can be updated by the radar observation to approach to the real value of the detection probability.

Phase control of light amplification in steady and transient processes in an inverted-Y atomic system with spontaneously generated coherence

We investigate the effects of spontaneously generated coherence （SGC） on both the steady and transient gain properties in a four-level inverted-Y-type atomic system in the presence of a weak probe, two strong coherent fields, and an incoherent pump. For the steady process, we find that the inversionless gain mainly origins from SGC. In particular, we can modulate the inversionless gain by changing the relative phase between the two fields. Moreover, the amplitude of the gain peak can be enhanced and the additional gain peak can appear by changing the detuning of the coupling field. As for the transient process, the transient gain properties can also be dramatically affected by the SGC. Compared to the case without SGC, the transient gain can be greatly enhanced with completely eliminated transient absorption by choosing the proper relative phase between the two fields. And the inverted-Y-type system with SGC can be simulated in both atomic and semiconductor quantum well systems avoiding the conditions of SGC.

模拟稀布矩阵的相位加权低副瓣设计

低副瓣是相控阵雷达的重要指标,发射时受限于硬件条件,阵面无法进行幅度加权,对于收发通用的低副瓣设计,只能依靠稀布阵元或相位加权实现。针对上述问题,文中提出模拟稀布矩阵的相位加权低副瓣设计。首先,给出了相位加权的理论依据;之后分别给出基于遗传算法的唯相位加权和稀布矩阵的降副瓣效果;再设计一种相位加权模拟稀布阵元的理论公式和仿真结果,最终给出了稀布阵元和相位加权相结合的降副瓣结果,设备实测结果和仿真结果相近。

存在幅相误差下的稳健稀疏贝叶斯二维波达方向估计

为减小传感器幅相误差的影响,提升方位估计性能,针对L型传感器阵列提出一种存在幅相误差下的稳健稀疏贝叶斯二维波达方向(Direction-Of-Arrival,DOA)估计方法。引入一个辅助角,将二维DOA估计问题转化为两个一维角度估计问题。利用L型阵列两子阵数据互协方差矩阵的对角线元素向量,构造一个含有幅相误差的稀疏表示模型,采用期望最大算法推导未知参数表达式并进行迭代运算,进而获得离网格和信号精度,利用二者构建新的空间谱函数,通过谱峰搜索估计出辅助角;将求得辅助角代入含有幅相误差的阵列接收数据稀疏表示模型,再次运用稀疏贝叶斯学习方法,估计出入射信号的俯仰角;根据3个角之间的关系,估计出方位角。研究结果表明:该方法实现了方位角和俯仰角的自动匹配,进一步克服了幅相误差对估计性能的影响,提高了方位估计的精度和角度分辨力,尤其是在高信噪比和幅相误差较大情况下优势更明显;仿真结果验证了该方法的有效性。

基于深度展开ADMM网络的稳健自适应波束形成

阵列通道间的幅相误差导致导向矢量失配,会严重退化自适应波束形成的性能。现有稳健自适应波束形成(RAB)方法通过引入最差导向矢量失配误差约束或联合估计幅相误差和波束形成器权值矢量,以改善波束形成性能,但这些方法的计算复杂度高,且在有限快拍下性能有限。为此,文中在深度展开框架下提出一种基于交替方向乘子法(ADMM)的RAB网络,以快速实现幅相误差和干扰协方差矩阵的联合估计。首先,建立存在阵列通道幅相误差时的干扰信号稀疏表示模型;然后,根据基于ADMM的幅相误差和干扰稀疏表示系数联合估计算法,设计一种深度展开ADMM(DU-ADMM)网络,该网络的输入为接收到达的干扰信号,输出为幅相误差和干扰稀疏表示系数;最后,利用该网络的输出重构出干扰加噪声协方差矩阵,并生成稳健自适应波束形成器。仿真结果表明,DU-ADMM网络可在单快拍场景下实现RAB,且能够以较少的网络层数更精确地估计出幅相误差,有效降低了计算量,同时可获得更高的输出信干噪比。

Ka波段CMOS有源矢量合成移相器

本文基于65 nm硅基互补金属氧化物半导体工艺设计了一款Ka波段有源矢量合成移相器。该电路由正交耦合器、单端转差分信号的巴伦、可变增益放大器、信号合成网络组成。基于集总LC等效模型的正交发生器能够实现紧凑尺寸并获得高精度正交信号;可变增益放大器采用数字控制的共源共栅架构,能够实现精准的幅度调节,并提高输入输出之间的隔离度。实测结果表明,该移相器可在25 GHz~32 GHz频带范围内实现360°移相,相位步进5.625°,均方根(RMS)相位误差小于3°,寄生调幅RMS小于1 dB,电路面积为800μm×400μm,功耗11 mW。

幅相误差对体积阵MVDR波束形成的影响

体积阵是一种由多个水听器组成的立体阵列,能够增大潜标接收基阵的孔径,获得较大的空间增益,工程中多将其制作成具有收合、展开功能的阵列应用于低频吊放声呐。由于各水听器通道内器件参数和幅度增益不一致,体积阵的每个阵元接收到的信号之间存在幅相误差。文中通过建立存在幅相误差时的双圆环体积阵模型,从统计学角度分析了幅相误差对其协方差矩阵、最小方差无畸变(MVDR)波束形成器的输出信噪比(SNR)、阵增益以及方位估计精度的影响。计算机仿真结果表明,阵列幅相误差的存在会导致MVDR波束形成器的输出SNR和阵增益降低;对于相位误差而言,当输入SNR在-5 dB以上时,这种影响随输入SNR的增大越来越明显;对于幅度误差而言,当输入SNR在-10 dB以上时,幅度误差对MVDR波束形成器的输出SNR和阵增益的影响会更显著;并且,相比于幅度误差,MVDR波束形成的方位估计精度对相位误差更加敏感。