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Related papers: Bayesian and hybrid Cramer-Rao bounds for QAM dyna…

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Extremely large-scale antenna arrays enhance spectral efficiency and spatial resolution in integrated sensing and communication (ISAC) networks while expanding the Rayleigh distance, triggering a shift from conventional far-field plane…

Information Theory · Computer Science 2025-02-18 Jiasi Zhou , Cong Zhou , Yanjing Sun , Chintha Tellambura

This paper derives a Ziv-Zakai Bound (ZZB) on the Mean Squared Error (MSE) for Direction-of-Arrival (DoA) estimation in co-located Multiple-Input Multiple-Output (MIMO) radar systems and provides closed-form expressions that hold for…

Information Theory · Computer Science 2025-11-12 Mohammadreza Bakhshizadeh Mohajer , Daniela Tuninetti , Luca Barletta

The quantum Cram\'er-Rao (QCR) bound sets the ultimate local precision limit for unbiased multiparameter estimation. Yet, unlike in the single-parameter case, its saturability is not generally guaranteed and is often assessed through…

Quantum Physics · Physics 2026-02-13 Satoya Imai , Jing Yang , Luca Pezzè

Multimode Gaussian quantum light, including multimode squeezed and/or multipartite quadrature entangled light, is a very general and powerful quantum resource with promising applications to quantum information processing and metrology…

Quantum Physics · Physics 2010-08-05 Olivier Pinel , Julien Fade , Nicolas Treps , Claude Fabre

The problem on the Cramer-Rao Lower Bounds (CRLBs) for the joint time delay and Doppler stretch estimation of an extended target is considered in this paper. The integral representations of the CRLBs for both the time delay and the Doppler…

Signal Processing · Electrical Eng. & Systems 2018-08-30 Tong Zhao , Tianyao Huang

Sensing a classical signal using a linear quantum device is a pervasive application of quantum-enhanced measurement. The fundamental precision limits of linear waveform estimation, however, are not fully understood. In certain cases, there…

General Relativity and Quantum Cosmology · Physics 2024-04-02 James W. Gardner , Tuvia Gefen , Simon A. Haine , Joseph J. Hope , Yanbei Chen

The constrained Cramer-Rao bound (CCRB) is a lower bound on the mean-squared-error (MSE) of estimators that satisfy some unbiasedness conditions. Although the CCRB unbiasedness conditions are satisfied asymptotically by the constrained…

Information Theory · Computer Science 2019-02-20 Eyal Nitzan , Tirza Routtenberg , Joseph Tabrikian

Bi-static sensing is crucial for exploring the potential of networked sensing capabilities in integrated sensing and communications (ISAC). However, it suffers from the challenging clock asynchronism issue. CSI ratio-based sensing is an…

Information Theory · Computer Science 2024-01-18 Yanmo Hu , Kai Wu , J. Andrew Zhang , Weibo Deng , Y. Jay Guo

A bistatic milimeter-wave (mmWave) ISAC system utilizing OFDM signaling is considered. For a single-target scnenario, closed-form expressions for the Cramer-Rao bounds (CRBs) of range and velocity estimation are derived for a given pilot…

Signal Processing · Electrical Eng. & Systems 2025-03-27 Cuneyd Ozturk , Cagri Goken

We consider a mixed analog-to-digital converter (ADC) based architecture consisting of high-precision and one-bit ADCs with the antenna-varying threshold for direction of arrival (DOA) estimation using a uniform linear array (ULA), which…

Signal Processing · Electrical Eng. & Systems 2024-03-15 Xinnan Zhang , Yuanbo Cheng , Xiaolei Shang , Jun Liu

In this report we present an analysis of the non-random and the Bayesian Cramer-Rao lower bound (CRLB) for the joint estimation of angle-of-arrival (AoA), angle-of-departure (AoD), and the multipath amplitudes, for the millimeter-wave…

Information Theory · Computer Science 2017-04-04 Laxminarayana S Pillutla , Ramesh Annavajjala

We investigate strategies for reaching the ultimate limit on the precision of frequency estimation when the number of probes used in each run of the experiment is fixed. That limit is set by the quantum Cram\'er-Rao bound (QCRB), which…

The Quadratic Maximum Likelihood estimator can be used to reconstruct the Cosmic Microwave Background (CMB) power spectra with minimal error bars. Still, it requires an accurate estimate of the datasets noise covariance matrix in order to…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-28 S. Vanneste , S. Henrot-Versillé , T. Louis , M. Tristram

We investigate the performance tradeoff between \textit{bistatic positioning (BP)} and \textit{monostatic sensing (MS)} in a multi-input multi-output orthogonal frequency division multiplexing scenario. We derive the Cram\'er-Rao bounds…

Signal Processing · Electrical Eng. & Systems 2025-03-05 Yuchen Zhang , Hui Chen , Pinjun Zheng , Boyu Ning , Henk Wymeersch , Tareq Y. Al-Naffouri

Autonomous driving and advanced active safety features require accurate high-resolution sensing capabilities. Automotive radars are the key component of the vehicle sensing suit. However, when these radars operate in proximity to flat…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Moshe Levy-Israel , Igal Bilik , Joseph Tabrikian

This paper proposes a framework for designing robust precoders for a multi-input single-output (MISO) system that performs integrated sensing and communication (ISAC) across multiple cells and users. We use Cramer-Rao-Bound (CRB) to measure…

Information Theory · Computer Science 2024-02-29 Nithin Babu , Christos Masouros , Constantinos B. Papadias , Yonina C. Eldar

Integrated sensing and communication (ISAC) relies on monostatic sensing (MS) and bistatic positioning (BP) to enable comprehensive environmental awareness and user localization. However, existing frameworks predominantly assume static…

Signal Processing · Electrical Eng. & Systems 2026-05-18 Aymen Hamrouni , Sofie Pollin , Hazem Sallouha

I propose quantum versions of the Ziv-Zakai bounds as alternatives to the widely used quantum Cram\'er-Rao bounds for quantum parameter estimation. From a simple form of the proposed bounds, I derive both a "Heisenberg" error limit that…

Quantum Physics · Physics 2012-06-07 Mankei Tsang

It is shown that the condition for achieving the quantum Cramer-Rao bound of phase estimation in conventional two-path interferometers is that the state is symmetric with regard to an (unphysical) exchange of the two paths. Since path…

Quantum Physics · Physics 2009-03-17 Holger F. Hofmann

In quantum metrology, it is widely believed that the quantum Cramer-Rao bound is attainable bound while it is not true. In order to clarify this point, we explain why the quantum Cramer-Rao bound cannot be attained geometrically. In this…

Quantum Physics · Physics 2016-06-27 Masahito Hayashi , Sai Vinjanampathy , L. C. Kwek