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An Information-Theoretic Approach to Collaborative Integrated Sensing and Communication for Two-Transmitter Systems 双发射机系统协同集成传感与通信的信息论方法
Pub Date : 2023-06-16 DOI: 10.1109/JSAIT.2023.3286932
Mehrasa Ahmadipour;Michèle Wigger
This paper considers information-theoretic models for integrated sensing and communication (ISAC) over multi-access channels (MAC) and device-to-device (D2D) communication. The models are general and include as special cases scenarios with and without perfect or imperfect state-information at the MAC receiver as well as causal state-information at the D2D terminals. For both setups, we propose collaborative sensing ISAC schemes where terminals not only convey data to the other terminals but also state-information that they extract from their previous observations. This state-information can be exploited at the other terminals to improve their sensing performances. Indeed, as we show through examples, our schemes improve over previous non-collaborative schemes in terms of their achievable rate-distortion tradeoffs. For D2D we propose two schemes, one where compression of state information is separated from channel coding and one where it is integrated via a hybrid coding approach.
本文研究了基于多址信道(MAC)和设备对设备(D2D)通信的集成传感与通信(ISAC)的信息论模型。这些模型是通用的,并作为特殊情况包括MAC接收器有或没有完美或不完美状态信息以及D2D终端的因果状态信息。对于这两种设置,我们提出了协作感知ISAC方案,其中终端不仅向其他终端传输数据,而且还从先前的观测中提取状态信息。这些状态信息可以被其他终端利用,以提高它们的传感性能。事实上,正如我们通过例子所展示的那样,我们的方案在可实现的费率扭曲权衡方面优于以前的非协作方案。对于D2D,我们提出了两种方案,一种是将状态信息的压缩与信道编码分离,另一种是通过混合编码方法将其集成。
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引用次数: 1
Continuous-Time Modeling and Analysis of Particle Beam Metrology 粒子束计量的连续时间建模与分析
Pub Date : 2023-06-09 DOI: 10.1109/JSAIT.2023.3283911
Akshay Agarwal;Minxu Peng;Vivek K Goyal
Particle beam microscopy (PBM) performs nanoscale imaging by pixelwise capture of scalar values representing noisy measurements of the response from secondary electrons (SEs) integrated over a dwell time. Extended to metrology, goals include estimating SE yield at each pixel and detecting differences in SE yield across pixels; obstacles include shot noise in the particle source as well as lack of knowledge of and variability in the instrument response to single SEs. A recently introduced time-resolved measurement paradigm promises mitigation of source shot noise, but its analysis and development have been largely limited to estimation problems under an idealization in which SE bursts are directly and perfectly counted. Here, analyses are extended to error exponents in feature detection problems and to degraded measurements that are representative of actual instrument behavior for estimation problems. For estimation from idealized SE counts, insights on existing estimators and a superior estimator are also provided. For estimation in a realistic PBM imaging scenario, extensions to the idealized model are introduced, methods for model parameter extraction are discussed, and large improvements from time-resolved data are presented.
粒子束显微镜(PBM)通过逐像素捕获标量值来执行纳米级成像,标量值表示在停留时间内积分的二次电子(SE)响应的噪声测量。扩展到度量,目标包括估计每个像素的SE产量,并检测像素之间SE产量的差异;障碍包括粒子源中的散粒噪声,以及缺乏对单个SE的仪器响应的知识和可变性。最近引入的一种时间分辨测量范式有望减轻源散粒噪声,但其分析和发展在很大程度上局限于直接和完美地计算SE突发的理想化下的估计问题。这里,分析扩展到特征检测问题中的误差指数,以及代表估计问题的实际仪器行为的退化测量。对于理想化SE计数的估计,还提供了对现有估计量和高级估计量的见解。对于真实PBM成像场景中的估计,介绍了理想化模型的扩展,讨论了模型参数提取方法,并对时间分辨数据进行了大幅改进。
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引用次数: 2
Sketching Low-Rank Matrices With a Shared Column Space by Convex Programming 用凸规划绘制共享列空间的低秩矩阵
Pub Date : 2023-06-07 DOI: 10.1109/JSAIT.2023.3283973
Rakshith S. Srinivasa;Seonho Kim;Kiryung Lee
In many practical applications including remote sensing, multi-task learning, and multi-spectrum imaging, data are described as a set of matrices sharing a common column space. We consider the joint estimation of such matrices from their noisy linear measurements. We study a convex estimator regularized by a pair of matrix norms. The measurement model corresponds to block-wise sensing and the reconstruction is possible only when the total energy is well distributed over blocks. The first norm, which is the maximum-block-Frobenius norm, favors such a solution. This condition is analogous to the notion of low-spikiness in matrix completion or column-wise sensing. The second norm, which is a tensor norm on a pair of suitable Banach spaces, induces low-rankness in the solution together with the first norm. We demonstrate that the joint estimation provides a significant gain over the individual recovery of each matrix when the number of matrices sharing a column space and the ambient dimension of the shared column space are large relative to the number of columns in each matrix. The convex estimator is cast as a semidefinite program and an efficient ADMM algorithm is derived. The empirical behavior of the convex estimator is illustrated using Monte Carlo simulations and recovery performance is compared to existing methods in the literature.
在包括遥感、多任务学习和多光谱成像在内的许多实际应用中,数据被描述为共享公共列空间的一组矩阵。我们从这些矩阵的噪声线性测量中考虑它们的联合估计。我们研究了由一对矩阵范数正则化的凸估计量。测量模型对应于逐块感测,并且只有当总能量良好地分布在块上时才可能进行重建。第一个范数,即最大块Frobenius范数,支持这样的解。这种情况类似于矩阵完成或逐列感测中的低尖峰的概念。第二个范数是一对合适的Banach空间上的张量范数,它与第一个范数一起在解中引入了低秩。我们证明,当共享列空间的矩阵数量和共享列空间中的环境维度相对于每个矩阵中的列数量较大时,联合估计比每个矩阵的单独恢复提供了显著的增益。将凸估计器转化为半定程序,导出了一个有效的ADMM算法。使用蒙特卡罗模拟说明了凸估计器的经验行为,并将恢复性能与文献中现有的方法进行了比较。
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引用次数: 0
Local Geometry of Nonconvex Spike Deconvolution From Low-Pass Measurements 低通测量非凸尖峰反卷积的局部几何
Pub Date : 2023-03-30 DOI: 10.1109/JSAIT.2023.3262689
Maxime Ferreira Da Costa;Yuejie Chi
Spike deconvolution is the problem of recovering the point sources from their convolution with a known point spread function, which plays a fundamental role in many sensing and imaging applications. In this paper, we investigate the local geometry of recovering the parameters of point sources—including both amplitudes and locations—by minimizing a natural nonconvex least-squares loss function measuring the observation residuals. We propose preconditioned variants of gradient descent (GD), where the search direction is scaled via some carefully designed preconditioning matrices. We begin with a simple fixed preconditioner design, which adjusts the learning rates of the locations at a different scale from those of the amplitudes, and show it achieves a linear rate of convergence—in terms of entrywise errors—when initialized close to the ground truth, as long as the separation between the true spikes is sufficiently large. However, the convergence rate slows down significantly when the dynamic range of the source amplitudes is large. To bridge this issue, we introduce an adaptive preconditioner design, which compensates for the learning rates of different sources in an iteration-varying manner based on the current estimate. The adaptive design provably leads to an accelerated convergence rate that is independent of the dynamic range, highlighting the benefit of adaptive preconditioning in nonconvex spike deconvolution. Numerical experiments are provided to corroborate the theoretical findings.
尖峰反卷积是用已知的点扩散函数从卷积中恢复点源的问题,在许多传感和成像应用中起着基础作用。在本文中,我们通过最小化测量观测残差的自然非凸最小二乘损失函数来研究恢复点源参数(包括振幅和位置)的局部几何。我们提出了梯度下降(GD)的预条件变体,其中搜索方向通过一些精心设计的预条件矩阵缩放。我们从一个简单的固定预调节器设计开始,它在不同的尺度上调整位置的学习率,并表明当初始化接近基本事实时,只要真实峰值之间的间隔足够大,它就可以实现线性收敛率(就入口误差而言)。但是,当源幅值的动态范围较大时,收敛速度明显减慢。为了解决这个问题,我们引入了一种自适应预调节器设计,它基于当前估计以迭代变化的方式补偿不同源的学习率。证明了自适应设计导致了与动态范围无关的加速收敛速率,突出了自适应预处理在非凸尖峰反卷积中的好处。数值实验验证了理论结果。
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引用次数: 0
Estimating the Sizes of Binary Error-Correcting Constrained Codes 二值纠错约束码的大小估计
Pub Date : 2023-03-23 DOI: 10.1109/JSAIT.2023.3279113
V. Arvind Rameshwar;Navin Kashyap
In this paper, we study binary constrained codes that are resilient to bit-flip errors and erasures. In our first approach, we compute the sizes of constrained subcodes of linear codes. Since there exist well-known linear codes that achieve vanishing probabilities of error over the binary symmetric channel (which causes bit-flip errors) and the binary erasure channel, constrained subcodes of such linear codes are also resilient to random bit-flip errors and erasures. We employ a simple identity from the Fourier analysis of Boolean functions, which transforms the problem of counting constrained codewords of linear codes to a question about the structure of the dual code. We illustrate the utility of our method in providing explicit values or efficient algorithms for our counting problem, by showing that the Fourier transform of the indicator function of the constraint is computable, for different constraints. Our second approach is to obtain good upper bounds, using an extension of Delsarte’s linear program (LP), on the largest sizes of constrained codes that can correct a fixed number of combinatorial errors or erasures. We observe that the numerical values of our LP-based upper bounds beat the generalized sphere packing bounds of Fazeli et al. (2015).
在本文中,我们研究了二进制约束码对位翻转错误和擦除的弹性。在我们的第一种方法中,我们计算线性码的约束子码的大小。由于存在众所周知的线性码,可以在二进制对称信道(导致比特翻转错误)和二进制擦除信道上实现错误消失概率,因此这种线性码的约束子码也具有抗随机比特翻转错误和擦除的弹性。利用布尔函数傅里叶分析中的一个简单恒等式,将线性码的约束码字计数问题转化为对偶码的结构问题。我们通过表明约束的指示函数的傅里叶变换对于不同的约束是可计算的,来说明我们的方法在为我们的计数问题提供显式值或有效算法方面的效用。我们的第二种方法是使用Delsarte线性规划(LP)的扩展,在可以纠正固定数量的组合错误或擦除的最大尺寸的约束代码上获得良好的上界。我们观察到,我们基于lp的上界的数值优于Fazeli等人(2015)的广义球体填充界。
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引用次数: 3
Spatio-Temporal Wildfire Prediction Using Multi-Modal Data 基于多模态数据的野火时空预测
Pub Date : 2023-03-22 DOI: 10.1109/JSAIT.2023.3276054
Chen Xu;Yao Xie;Daniel A. Zuniga Vazquez;Rui Yao;Feng Qiu
Due to severe societal and environmental impacts, wildfire prediction using multi-modal sensing data has become a highly sought-after data-analytical tool by various stakeholders (such as state governments and power utility companies) to achieve a more informed understanding of wildfire activities and plan preventive measures. A desirable algorithm should precisely predict fire risk and magnitude for a location in real time. In this paper, we develop a flexible spatio-temporal wildfire prediction framework using multi-modal time series data. We first predict the wildfire risk (the chance of a wildfire event) in real-time, considering the historical events using discrete mutually exciting point process models. Then we further develop a wildfire magnitude prediction set method based on the flexible distribution-free time-series conformal prediction (CP) approach. Theoretically, we prove a risk model parameter recovery guarantee, as well as coverage and set size guarantees for the CP sets. Through extensive real-data experiments with wildfire data in California, we demonstrate the effectiveness of our methods, as well as their flexibility and scalability in large regions.
由于严重的社会和环境影响,使用多模态传感数据进行野火预测已成为各利益相关者(如州政府和电力公司)广受欢迎的数据分析工具,以更深入地了解野火活动并制定预防措施。理想的算法应该实时准确预测一个地点的火灾风险和规模。在本文中,我们使用多模态时间序列数据开发了一个灵活的时空野火预测框架。我们首先使用离散的相互激励的点过程模型,考虑历史事件,实时预测野火风险(野火事件的可能性)。然后,我们进一步发展了一种基于灵活分布自由时间序列保角预测(CP)方法的野火震级预测集方法。理论上,我们证明了一个风险模型参数恢复保证,以及CP集的覆盖范围和集大小保证。通过对加州野火数据进行广泛的真实数据实验,我们展示了我们的方法的有效性,以及它们在大区域的灵活性和可扩展性。
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引用次数: 0
The Voronoi Region of the Barnes–Wall Lattice Λ16 Barnes-Wall晶格的Voronoi区域Λ16
Pub Date : 2023-03-16 DOI: 10.1109/JSAIT.2023.3276897
Daniel Pook-Kolb;Erik Agrell;Bruce Allen
We give a detailed description of the Voronoi region of the Barnes–Wall lattice $Lambda _{16}$ , including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator.
我们给出了Barnes-Wall晶格$Lambda _{16}$的Voronoi区域的详细描述,包括它的顶点、相关向量和对称群。它的量化常数的精确值计算,这是以前只知道大约。为了验证结果,我们对相同的常数进行了数值估计,并提出了一种新的非常简单的方法来量化这种估计的方差,该方法比常用的折刀估计要精确得多。
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引用次数: 3
Active Sensing for Two-Sided Beam Alignment and Reflection Design Using Ping-Pong Pilots 利用乒乓球飞行员进行双侧光束对准和反射设计的主动传感
Pub Date : 2023-03-15 DOI: 10.1109/JSAIT.2023.3276296
Tao Jiang;Foad Sohrabi;Wei Yu
Beam alignment is an important task for millimeter-wave (mmWave) communication, because constructing aligned narrow beams both at the transmitter (Tx) and the receiver (Rx) is crucial in terms of compensating the significant path loss in very high-frequency bands. However, beam alignment is also a highly nontrivial task because large antenna arrays typically have a limited number of radio-frequency chains, allowing only low-dimensional measurements of the high-dimensional channel. This paper considers a two-sided beam alignment problem based on an alternating ping-pong pilot scheme between Tx and Rx over multiple rounds without explicit feedback. We propose a deep active sensing framework in which two long short-term memory (LSTM) based neural networks are employed to learn the adaptive sensing strategies (i.e., measurement vectors) and to produce the final aligned beamformers at both sides. In the proposed ping-pong protocol, the Tx and the Rx alternately send pilots so that both sides can leverage local observations to sequentially design their respective sensing and data transmission beamformers. The proposed strategy can be extended to scenarios with a reconfigurable intelligent surface (RIS) for designing, in addition, the reflection coefficients at the RIS for both sensing and communications. Numerical experiments demonstrate significant and interpretable performance improvement. The proposed strategy works well even for the challenging multipath channel environments.
波束对准是毫米波(mmWave)通信的一项重要任务,因为在发射机(Tx)和接收机(Rx)上构建对准的窄波束对于补偿高频波段的显著路径损耗至关重要。然而,波束对准也是一项非常重要的任务,因为大型天线阵列通常具有有限数量的射频链,只能对高维信道进行低维测量。本文研究了一个基于多回合无显式反馈的Tx和Rx之间的交替乒乓导频方案的双边光束对准问题。我们提出了一个深度主动传感框架,其中使用两个基于长短期记忆(LSTM)的神经网络来学习自适应传感策略(即测量向量)并在两侧产生最终对齐的波束形成器。在拟议的乒乓协议中,Tx和Rx交替派遣飞行员,以便双方可以利用当地的观测结果依次设计各自的传感和数据传输波束形成器。提出的策略可以扩展到具有可重构智能表面(RIS)的场景中,用于设计RIS上的反射系数,以及用于传感和通信的反射系数。数值实验证明了显著和可解释的性能改进。所提出的策略即使在具有挑战性的多径信道环境中也能很好地工作。
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引用次数: 1
Rate and Detection-Error Exponent Tradeoff for Joint Communication and Sensing of Fixed Channel States 固定信道状态联合通信和感知的速率和检测误差指数权衡
Pub Date : 2023-03-12 DOI: 10.1109/JSAIT.2023.3275877
Meng-Che Chang;Shi-Yuan Wang;Tuna Erdoğan;Matthieu R. Bloch
We study the information-theoretic limits of joint communication and sensing when the sensing task is modeled as the estimation of a discrete channel state fixed during the transmission of an entire codeword. This setting captures scenarios in which the time scale over which sensing happens is significantly slower than the time scale over which symbol transmission occurs. The tradeoff between communication and sensing then takes the form of a tradeoff region between the rate of reliable communication and the state detection-error exponent. We investigate such tradeoffs for both mono-static and bi-static scenarios, in which the sensing task is performed at the transmitter or receiver, respectively. In the mono-static case, we develop an exact characterization of the tradeoff in open-loop, when the sensing is not used to assist the communication. We also show the strict improvement brought by a closed-loop operation, in which the sensing informs the communication. In the bi-static case, we develop an achievable tradeoff region that highlights the fundamentally different nature of the bi-static scenario. Specifically, the rate of communication plays a key role in the characterization of the tradeoff and we show how joint strategies, which simultaneously estimate message and state, outperform successive strategies, which only estimate the state after decoding the transmitted message.
当感测任务被建模为在整个码字的传输期间固定的离散信道状态的估计时,我们研究了联合通信和感测的信息论限制。此设置捕获感测发生的时间尺度明显慢于符号传输发生的时间标尺的场景。通信和感测之间的折衷采用可靠通信速率和状态检测误差指数之间的折衷区域的形式。我们研究了单静态和双静态场景的这种权衡,其中感测任务分别在发射机或接收机处执行。在单稳态情况下,当传感不用于辅助通信时,我们对开环中的折衷进行了精确的表征。我们还展示了闭环操作带来的严格改进,其中传感通知通信。在双静态的情况下,我们开发了一个可实现的权衡区域,突出了双静态场景的根本不同性质。具体而言,通信速率在权衡的表征中起着关键作用,我们展示了同时估计消息和状态的联合策略如何优于仅在解码传输消息后估计状态的连续策略。
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引用次数: 4
Secure Integrated Sensing and Communication 安全集成传感和通信
Pub Date : 2023-03-10 DOI: 10.1109/JSAIT.2023.3275048
Onur Günlü;Matthieu R. Bloch;Rafael F. Schaefer;Aylin Yener
This work considers the problem of mitigating information leakage between communication and sensing in systems jointly performing both operations. Specifically, a discrete memoryless state-dependent broadcast channel model is studied in which (i) the presence of feedback enables a transmitter to convey information, while simultaneously performing channel state estimation; (ii) one of the receivers is treated as an eavesdropper whose state should be estimated but which should remain oblivious to part of the transmitted information. The model abstracts the challenges behind security for joint communication and sensing if one views the channel state as a key attribute, e.g., location. For independent and identically distributed states, perfect output feedback, and when part of the transmitted message should be kept secret, a partial characterization of the secrecy-distortion region is developed. The characterization is exact when the broadcast channel is either physically-degraded or reversely-physically-degraded. The partial characterization is also extended to the situation in which the entire transmitted message should be kept secret. The benefits of a joint approach compared to separation-based secure communication and state-sensing methods are illustrated with binary joint communication and sensing models.
这项工作考虑了在联合执行通信和传感两种操作的系统中减轻信息泄漏的问题。具体来说,研究了一个离散无记忆状态相关的广播信道模型,其中(i)反馈的存在使发射机能够在传输信息的同时进行信道状态估计;(ii)将其中一个接收者视为窃听者,其状态应被估计,但应对传输的部分信息保持不知情。如果将信道状态视为关键属性(例如位置),则该模型抽象了联合通信和传感安全背后的挑战。在独立同分布状态下,在输出反馈完美的情况下,在需要对部分传输信息保密的情况下,给出了保密失真区域的部分表征。当广播信道是物理降级或反向物理降级时,该特性是准确的。部分表征也扩展到整个传输消息应保密的情况。与基于分离的安全通信和状态感知方法相比,联合方法的优点用二进制联合通信和感知模型来说明。
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引用次数: 4
期刊
IEEE journal on selected areas in information theory
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