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We consider a joint multiple-antenna radar-communications system in a co-existence scenario. Contrary to conventional applications, wherein at least the radar waveform and communications channel are known or estimated \textit{a priori}, we…

Information Theory · Computer Science 2022-06-13 Roman Jacome , Kumar Vijay Mishra , Edwin Vargas , Brian M. Sadler , Henry Arguello

Blind deconvolution is an ubiquitous non-linear inverse problem in applications like wireless communications and image processing. This problem is generally ill-posed, and there have been efforts to use sparse models for regularizing blind…

Information Theory · Computer Science 2019-04-09 Sunav Choudhary , Urbashi Mitra

This paper introduces a novel framework for jointly estimating unknown radar channels and transmit signals in millimeter-wave (mmWave) Joint Radar-Communication (JRC) systems, a problem often referred to as dual-blind deconvolution. The…

Signal Processing · Electrical Eng. & Systems 2025-01-09 Anis Hamadouche , Mathini Sellathurai

We consider a general spectral coexistence scenario, wherein the channels and transmit signals of both radar and communications systems are unknown at the receiver. In this \textit{dual-blind deconvolution} (DBD) problem, a common receiver…

Signal Processing · Electrical Eng. & Systems 2021-11-12 Edwin Vargas , Kumar Vijay Mishra , Roman Jacome , Brian M. Sadler , Henry Arguello

Multichannel blind deconvolution is the problem of recovering an unknown signal $f$ and multiple unknown channels $x_i$ from their circular convolution $y_i=x_i \circledast f$ ($i=1,2,\dots,N$). We consider the case where the $x_i$'s are…

Information Theory · Computer Science 2019-03-19 Yanjun Li , Yoram Bresler

The problem of sparse multichannel blind deconvolution (S-MBD) arises frequently in many engineering applications such as radar/sonar/ultrasound imaging. To reduce its computational and implementation cost, we propose a compression method…

Signal Processing · Electrical Eng. & Systems 2023-07-05 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

This paper proposes a depth estimation method using radar-image fusion by addressing the uncertain vertical directions of sparse radar measurements. In prior radar-image fusion work, image features are merged with the uncertain sparse…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Masaya Kotani , Takeru Oba , Norimichi Ukita

Blind deconvolution is a ubiquitous problem of recovering two unknown signals from their convolution. Unfortunately, this is an ill-posed problem in general. This paper focuses on the {\em short and sparse} blind deconvolution problem,…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Yuqian Zhang , Han-Wen Kuo , John Wright

In joint radar-communications (JRC) applications such as secure military receivers, often the radar and communications signals are overlaid in the received signal. In these passive listening outposts, the signals and channels of both radar…

Information Theory · Computer Science 2024-04-01 Roman Jacome , Edwin Vargas , Kumar Vijay Mishra , Brian M. Sadler , Henry Arguello

Blind deconvolution is an ubiquitous non-linear inverse problem in applications like wireless communications and image processing. This problem is generally ill-posed since signal identifiability is a key concern, and there have been…

Information Theory · Computer Science 2019-04-09 Sunav Choudhary , Urbashi Mitra

The problem of deblurring an image when the blur kernel is unknown remains challenging after decades of work. Recently there has been rapid progress on correcting irregular blur patterns caused by camera shake, but there is still much room…

Computer Vision and Pattern Recognition · Computer Science 2013-02-08 Paul Shearer , Anna C. Gilbert , Alfred O. Hero

Multi-channel sparse blind deconvolution, or convolutional sparse coding, refers to the problem of learning an unknown filter by observing its circulant convolutions with multiple input signals that are sparse. This problem finds numerous…

Machine Learning · Statistics 2021-04-07 Laixi Shi , Yuejie Chi

Subsampled blind deconvolution is the recovery of two unknown signals from samples of their convolution. To overcome the ill-posedness of this problem, solutions based on priors tailored to specific application have been developed in…

Information Theory · Computer Science 2015-11-23 Kiryung Lee , Yanjun Li , Marius Junge , Yoram Bresler

Blind deconvolution is the problem of recovering a convolutional kernel $\boldsymbol a_0$ and an activation signal $\boldsymbol x_0$ from their convolution $\boldsymbol y = \boldsymbol a_0 \circledast \boldsymbol x_0$. This problem is…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Yuqian Zhang , Yenson Lau , Han-Wen Kuo , Sky Cheung , Abhay Pasupathy , John Wright

Blind deconvolution problems are severely ill-posed because neither the underlying signal nor the forward operator are not known exactly. Conventionally, these problems are solved by alternating between estimation of the image and kernel…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Yash Sanghvi , Yiheng Chi , Stanley H. Chan

The increasingly crowded spectrum has spurred the design of joint radar-communications systems that share hardware resources and efficiently use the radio frequency spectrum. We study a general spectral coexistence scenario, wherein the…

Information Theory · Computer Science 2023-06-21 Edwin Vargas , Kumar Vijay Mishra , Roman Jacome , Brian M. Sadler , Henry Arguello

This paper demonstrates a practical method that can correct spatial varying blur from a set of images of the same object. The algorithm jointly estimates the object and local point spread functions~(PSF). The method prioritizes sections…

Image and Video Processing · Electrical Eng. & Systems 2020-11-04 Wouter van de Ketterij , Oleg Soloviev , Michel Verhaegen

Modern reconstruction methods for magnetic resonance imaging (MRI) exploit the spatially varying sensitivity profiles of receive-coil arrays as additional source of information. This allows to reduce the number of time-consuming…

Medical Physics · Physics 2017-09-12 Martin Uecker

We propose a solution to the image deconvolution problem where the convolution kernel or point spread function (PSF) is assumed to be only partially known. Small perturbations generated from the model are exploited to produce a few…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Se Un Park , Nicolas Dobigeon , Alfred O. Hero

Blind image deconvolution is the problem of recovering the latent image from the only observed blurry image when the blur kernel is unknown. In this paper, we propose an edge-based blur kernel estimation method for blind motion…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Jing Yu , Zhenchun Chang , Chuangbai Xiao
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