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Accurate detection of signal components is a frequently-encountered challenge in statistical applications with low signal-to-noise ratio. This problem is particularly challenging in settings with heteroscedastic noise. In certain…

统计计算 · 统计学 2021-08-19 William Leeb

Synthetic aperture radar (SAR) tomography (TomoSAR) is an appealing tool for the extraction of height information of urban infrastructures. Due to the widespread applications of the MUSIC algorithm in source localization, it is a suitable…

信息论 · 计算机科学 2022-08-05 Ahmad Naghavi , Mohammad Sadegh Fazel , Mojtaba Beheshti , Ehsan Yazdian

The signal resulting from magnetic resonance spectroscopy is occupied by noises and irregularities so in the further analysis preprocessing techniques have to be introduced. The main idea of the paper is to develop a model of a signal as a…

信号处理 · 电气工程与系统科学 2021-03-30 Michał Staniszewski , Andrzej Polański

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

图像与视频处理 · 电气工程与系统科学 2024-03-20 Kazuki Naganuma , Shunsuke Ono

This paper studies two structured approximation problems: (1) Recovering a corrupted low-rank Toeplitz matrix and (2) recovering the range of a Fourier matrix from a single observation. Both problems are computationally challenging because…

信息论 · 计算机科学 2025-11-24 Albert Fannjiang , Weilin Li

Subspace methods are essential to high-resolution environment sensing in the emerging unmanned systems, if further combined with the millimeter-wave (mm-Wave) massive multi-input multi-output (MIMO) technique. The estimation of signal/noise…

信号处理 · 电气工程与系统科学 2021-01-13 Li Bin , Wang Shuseng , Zhang Jun , Cao Xianbin , Zhao Chenglin

We consider simultaneously identifying the membership and locations of point sources that are convolved with different band-limited point spread functions, from the observation of their superpositions. This problem arises in…

信息论 · 计算机科学 2017-03-22 Yuanxin Li , Yuejie Chi

In this paper, we study the MUltiple SIgnal Classification (MUSIC) algorithm often used to image small targets when multiple measurement vectors are available. We show that this algorithm may be used when the imaging problem can be cast as…

数值分析 · 数学 2019-01-23 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

For submillimeter spectroscopy with ground-based single-dish telescopes, removing noise contribution from the Earth's atmosphere and the instrument is essential. For this purpose, here we propose a new method based on a data-scientific…

天体物理仪器与方法 · 物理学 2021-08-20 Akio Taniguchi , Yoichi Tamura , Shiro Ikeda , Tatsuya Takekoshi , Ryohei Kawabe

In mathematics, a super-resolution problem can be formulated as acquiring high-frequency data from low-frequency measurements. This extrapolation problem in the frequency domain is well-known to be unstable. We propose a model-based…

信息论 · 计算机科学 2025-11-04 Zetao Fei , Hai Zhang

This paper adresses the statistical behaviour of spatial smoothing subspace DoA estimation schemes using a sensor array in the case where the number of observations $N$ is significantly smaller than the number of sensors $M$, and that the…

统计方法学 · 统计学 2016-01-20 Gia-Thuy Pham , Philippe Loubaton , Pascal Vallet

Consistency models have exhibited remarkable capabilities in facilitating efficient image/video generation, enabling synthesis with minimal sampling steps. It has proven to be advantageous in mitigating the computational burdens associated…

声音 · 计算机科学 2024-04-23 Zhengcong Fei , Mingyuan Fan , Junshi Huang

Although the MUltiple SIgnal Classification (MUSIC) algorithm has demonstrated suitability as a microwave imaging technique for detecting anomalies, there is a fundamental limit that it requires a switching device to be used which permits…

数值分析 · 数学 2025-12-03 Won-Kwang Park

Self-supervised representation learning maps high-dimensional data into a meaningful embedding space, where samples of similar semantic contents are close to each other. Most of the recent representation learning methods maximize cosine…

计算机视觉与模式识别 · 计算机科学 2022-06-15 Chuang Niu , Ge Wang

Wide-band Direction of Arrival (DOA) estimation with sensor arrays is an essential task in sonar, radar, acoustics, biomedical and multimedia applications. Many state of the art wide-band DOA estimators coherently process frequency binned…

应用统计 · 统计学 2018-03-02 Elio D. Di Claudio , Raffaele Parisi , Giovanni Jacovitti

Sparse linear arrays, such as co-prime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the coarray structure, an augmented sample covariance matrix can be constructed and…

应用统计 · 统计学 2016-12-15 Mianzhi Wang , Arye Nehorai

The high computational complexity of the multiple signal classification (MUSIC) algorithm is mainly caused by the subspace decomposition and spectrum search, especially for frequent real-time applications or massive sensors. In this paper,…

信号处理 · 电气工程与系统科学 2025-06-16 Yiming Fang , Li Chen , Ang Chen , Weidong Wang

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

信息论 · 计算机科学 2015-07-24 Yuanxin Li , Yuejie Chi

Ultra-high-speed spindle bearings challenge traditional vibration monitoring due to broadband noise, non-stationarity, and limited time-frequency resolution. We present a fast Short-Time Root-MUSIC (fSTrM) algorithm that exploits…

信息检索 · 计算机科学 2025-06-24 Huiguang Zhang , Baoguo Liu , Wei Feng , Zongtang Li

Many spectral unmixing methods rely on the non-negative decomposition of spectral data onto a dictionary of spectral templates. In particular, state-of-the-art music transcription systems decompose the spectrogram of the input signal onto a…

机器学习 · 统计学 2016-10-11 Rémi Flamary , Cédric Févotte , Nicolas Courty , Valentin Emiya