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The Bayesian Cram\'er-Rao bound (CRB) provides a lower bound on the mean square error of any Bayesian estimator under mild regularity conditions. It can be used to benchmark the performance of statistical estimators, and provides a…

Machine Learning · Statistics 2024-09-09 Evan Scope Crafts , Xianyang Zhang , Bo Zhao

The performance of near-field sensing (NISE) in a legacy wideband multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) communication system is analyzed. The maximum likelihood estimates (MLE) for the…

Information Theory · Computer Science 2025-06-13 Zhaolin Wang , Xidong Mu , Yuanwei Liu

Recent studies found that many channels are affected by additive noise that is impulsive in nature and is best explained by heavy-tailed symmetric alpha-stable distributions. Dealing with impulsive noise environments comes with an added…

Information Theory · Computer Science 2016-10-07 Jihad Fahs , Ibrahim Abou-Faycal

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

The problem of transmitting a parameter value over an additive white Gaussian noise (AWGN) channel is considered, where, in addition to the transmitter and the receiver, there is a helper that observes the noise non-causally and provides a…

Information Theory · Computer Science 2024-10-28 Anatoly Khina , Neri Merhav

Several current ultra-wide band applications, such as millimeter wave radar and communication systems, require high sampling rates and therefore expensive and energy-hungry analogto-digital converters (ADCs). In applications where cost and…

Signal Processing · Electrical Eng. & Systems 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

Neural networks are increasingly used to estimate parameters in quantitative MRI, in particular in magnetic resonance fingerprinting. Their advantages over the gold standard non-linear least square fitting are their superior speed and their…

We consider unbiased estimation of a sparse nonrandom vector corrupted by additive white Gaussian noise. We show that while there are infinitely many unbiased estimators for this problem, none of them has uniformly minimum variance.…

Statistics Theory · Mathematics 2010-06-02 Alexander Jung , Zvika Ben-Haim , Franz Hlawatsch , Yonina C. Eldar

To enhance the robustness and resilience of wireless communication and meet performance requirements, various environment-reflecting metrics, such as the signal-to-noise ratio (SNR), are utilized as the system parameter. To obtain these…

Signal Processing · Electrical Eng. & Systems 2026-01-16 Hanyoung Park , Ji-Woong Choi

This paper describes several new algorithms for estimating the parameters of a periodic bandlimited signal from samples corrupted by jitter (timing noise) and additive noise. Both classical (non-random) and Bayesian formulations are…

Applications · Statistics 2016-09-08 Daniel S. Weller , Vivek K Goyal

Probabilistic Linear Discriminant Analysis (PLDA) is a popular tool in open-set classification/verification tasks. However, the Gaussian assumption underlying PLDA prevents it from being applied to situations where the data is clearly…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-26 Lantian Li , Dong Wang , Thomas Fang Zheng

We consider distributed estimation of a Gaussian source in a heterogenous bandwidth constrained sensor network, where the source is corrupted by independent multiplicative and additive observation noises, with incomplete statistical…

Information Theory · Computer Science 2018-05-23 Alireza Sani , Azadeh Vosoughi

In the upcoming Internet-of-Things (IoT) era, the communication is often featured by massive connection, sporadic transmission, and small-sized data packets, which poses new requirements on the delay expectation and resource allocation…

Information Theory · Computer Science 2019-10-17 Zhaoji Zhang , Ying Li , Chongwen Huang , Qinghua Guo , Chau Yuen , Yong Liang Guan

Parameter estimation using quantized observations is of importance in many practical applications. Under a symmetric $1$-bit setup, consisting of a zero-threshold hard-limiter, it is well known that the large sample performance loss for low…

Information Theory · Computer Science 2016-11-17 Manuel Stein , Shahar Bar , Josef A. Nossek , Joseph Tabrikian

A Cramer-Rao bound (CRB) for semi-blind channel estimators in redundant block transmission systems is derived. The derived CRB is valid for any system adopting a full-rank linear redundant precoder, including the popular cyclic-prefixed…

Information Theory · Computer Science 2012-09-20 Yen-Huan Li , Borching Su , Ping-Cheng Yeh

Mixed linear regression (MLR) model is among the most exemplary statistical tools for modeling non-linear distributions using a mixture of linear models. When the additive noise in MLR model is Gaussian, Expectation-Maximization (EM)…

Machine Learning · Statistics 2021-05-14 Babak Barazandeh , Ali Ghafelebashi , Meisam Razaviyayn , Ram Sriharsha

Speech communication systems are prone to performance degradation in reverberant and noisy acoustic environments. Dereverberation and noise reduction algorithms typically require several model parameters, e.g. the speech, reverberation and…

Audio and Speech Processing · Electrical Eng. & Systems 2020-01-28 Yaron Laufer , Bracha Laufer-Goldshtein , Sharon Gannot

We consider the problem of channel estimation for amplify-and-forward two-way relays assuming channel reciprocity and M-PSK modulation. In an earlier work, a partially-blind maximum-likelihood estimator was derived by treating the data as…

Information Theory · Computer Science 2012-02-17 Saeed Abdallah , Ioannis N. Psaromiligkos

Bounding the optimal precision in parameter estimation tasks is of central importance for technological applications. In the regime of a small number of measurements, or that of low signal-to-noise ratios, the meaning of common frequentist…

Quantum Physics · Physics 2024-02-23 Valentin Gebhart , Manuel Gessner , Augusto Smerzi

This paper considers the nonparametric regression model with negatively super-additive dependent (NSD) noise and investigates the convergence rates of thresholding estimators. It is shown that the term-by-term thresholding estimator…

Statistics Theory · Mathematics 2019-10-10 Yuncai Yu , Xinsheng Liu , Ling Liu , Weisi Liu