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Spatial smoothing is a widely used preprocessing scheme to improve the performance of high-resolution parameter estimation algorithms in case of coherent signals or if only a small number of snapshots is available. In this paper, we present…

Information Theory · Computer Science 2017-04-05 Jens Steinwandt , Florian Roemer , Martin Haardt , Giovanni Del Galdo

In this paper we present a generic framework for the asymptotic performance analysis of subspace-based parameter estimation schemes. It is based on earlier results on an explicit first-order expansion of the estimation error in the signal…

Performance · Computer Science 2012-09-17 Florian Roemer , Martin Haardt

Subspace-based signal processing techniques, such as the Estimation of Signal Parameters via Rotational Invariant Techniques (ESPRIT) algorithm, are popular methods for spectral estimation. These algorithms can achieve the so-called…

Information Theory · Computer Science 2024-10-29 Zhiyan Ding , Ethan N. Epperly , Lin Lin , Ruizhe Zhang

In this paper, an approach of estimating signal parameters via rotational invariance technique (ESPRIT) is proposed for two-dimensional (2-D) localization of incoherently distributed (ID) sources in large-scale/massive multiple-input…

Information Theory · Computer Science 2015-06-23 Anzhong Hu , Tiejun Lv , Hui Gao , Zhang Zhang , Shaoshi Yang

This paper is concerned with the problem of frequency estimation from multiple-snapshot data. It is well-known that ESPRIT (and spatial-smoothing ESPRIT in presence of coherent sources or given limited snapshots) can locate the true…

Signal Processing · Electrical Eng. & Systems 2022-08-16 Zai Yang

This dissertation presents two signal processing methods using specially designed localized kernels for parameter recovery under noisy condition. The first method addresses the estimation of frequencies and amplitudes in multidimensional…

Signal Processing · Electrical Eng. & Systems 2025-08-08 Sippanon Kitimoon

This work analyzes the asymptotic performances of fully distributed sequential hypothesis testing procedures as the type-I and type-II error rates approach zero, in the context of a sensor network without a fusion center. In particular, the…

Applications · Statistics 2018-04-17 Shang Li , Xiaodong Wang

Direction augmentation (DA) and spatial smoothing (SS), followed by a subspace method such as ESPRIT or MUSIC, are two simple and successful approaches that enable localization of more uncorrelated sources than sensors with a proper sparse…

Signal Processing · Electrical Eng. & Systems 2023-02-23 Zai Yang , Kaijie Wang

Purpose: Parallel imaging methods in MRI have resulted in faster acquisition times and improved noise performance. ESPIRiT is one such technique that estimates coil sensitivity maps from the auto-calibration region using an eigenvalue-based…

Medical Physics · Physics 2020-06-05 Siddharth Iyer , Frank Ong , Kawin Setsompop , Mariya Doneva , Michael Lustig

Performance analyses of subspace algorithms for cisoid parameter estimation available in the literature are predominantly of statistical nature with a focus on asymptotic$-$either in the sample size or the SNR$-$statements. This paper…

Information Theory · Computer Science 2016-04-26 Céline Aubel , Helmut Bölcskei

Recently, several high-resolution parameter estimation algorithms have been developed to exploit the structure of strictly second-order (SO) non-circular (NC) signals. They achieve a higher estimation accuracy and can resolve up to twice as…

Information Theory · Computer Science 2016-08-24 Jens Steinwandt , Florian Roemer , Martin Haardt , Giovanni Del Galdo

In this paper Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT) is developed for spectral estimation with single-snapshot measurement. Stability and resolution analysis with performance guarantee for…

Information Theory · Computer Science 2016-07-08 Albert Fannjiang

The problem of imaging point objects can be formulated as estimation of an unknown atomic measure from its $M+1$ consecutive noisy Fourier coefficients. The standard resolution of this inverse problem is $1/M$ and super-resolution refers to…

Information Theory · Computer Science 2019-10-23 Weilin Li , Wenjing Liao , Albert Fannjiang

In this paper, we consider performance analysis of the decentralized power method for the eigendecomposition of the sample covariance matrix based on the averaging consensus protocol. An analytical expression of the second order statistics…

Applications · Statistics 2016-05-04 W. Suleiman , M. Pesavento , A. M. Zoubir

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-standard domains (i.e going beyond multi-rectangles).

Numerical Analysis · Mathematics 2018-08-23 Fredrik Andersson , Marcus Carlsson

In this work, we propose a subspace-based algorithm for direction-of-arrival (DOA) estimation, referred to as two-step knowledge-aided iterative estimation of signal parameters via rotational invariance techniques (ESPRIT) method (Two-Step…

Numerical Analysis · Computer Science 2017-03-31 R. C. de Lamare

We consider the problem of resolving overlapping pulses from noisy multi-snapshot measurements, which has been a problem central to various applications including medical imaging and array signal processing. ESPRIT algorithm has been used…

Signal Processing · Electrical Eng. & Systems 2023-09-01 Meghna Kalra , Kiryung Lee

MUltiple SIgnal Classification (MUSIC) and Estimation of signal parameters via rotational via rotational invariance (ESPRIT) has been widely used in super resolution direction of arrival estimation (DoA) in both Uniform Linear Arrays (ULA)…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Jianyuan Yu

We analyze the asymptotic performance of a generalized multiuser diversity scheme for an interference-limited secondary multiuser network of underlay cognitive radio systems. Assuming a large number of secondary users and that the noise at…

Information Theory · Computer Science 2019-06-13 Yazan H. Al-Badarneh , Costas N. Georghiades , Mohamed-Slim Alouini
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