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We consider a multicarrier chirp-based waveform for joint radar and communication (JRC) systems and derive its time discrete periodic ambiguity function (AF). An advantage of the waveform is that it includes a set of waveform parameters…

Information Theory · Computer Science 2022-09-05 Fredrik Berggren , Branislav M. Popovic

We propose a fast greedy algorithm to compute sparse representations of signals from continuous dictionaries that are factorizable, i.e., with atoms that can be separated as a product of sub-atoms. Existing algorithms strongly reduce the…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Gilles Monnoyer de Galland , Luc Vandendorpe , Laurent Jacques

In this paper we deal with the linear frequency modulated signals and radar signals that are affected by disturbance which is the inevitable phenomenon in everyday communications. The considered cases represent the cases when the signals of…

Information Theory · Computer Science 2015-02-13 Zoja Vulaj , Faris Kardovic

Applying compressive sensing (CS) allows for sub-Nyquist sampling in several application areas in 5G and beyond. This reduces the associated training, feedback, and computation overheads in many applications. However, the applicability of…

Signal Processing · Electrical Eng. & Systems 2020-12-21 Mahmoud Nazzal , Mehmet Ali Aygul , Huseyin Arslan

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

Information Theory · Computer Science 2013-09-06 Christoph Studer , Richard G. Baraniuk

The use of modern software-defined radio (SDR) devices enables the implementation of efficient communication systems in numerous scenarios. Such technology comes especially handy in the context of search and rescue (SAR) systems, enabling…

Signal Processing · Electrical Eng. & Systems 2023-12-11 Daniel Gil Gaviria , Marcus Müller , Felix Artmann , Laurent Schmalen

Radar imaging systems transmit modulated wideband waveform to achieve high range resolution resulting in high sampling rates at the receiver proportional to the bandwidth of the transmit waveform. Analog processing techniques can be used on…

Information Theory · Computer Science 2015-10-08 Nithin Sugavanam , Emre Ertin

In the synthesis model signals are represented as a sparse combinations of atoms from a dictionary. Dictionary learning describes the acquisition process of the underlying dictionary for a given set of training samples. While ideally this…

Machine Learning · Statistics 2015-03-11 Matthias Seibert , Martin Kleinsteuber , Rémi Gribonval , Rodolphe Jenatton , Francis Bach

In this paper we present algorithms for approximating real band-limited signals by multiple Gaussian Chirps. These algorithms do not rely on matching pursuit ideas. They are hierarchial and, at each stage, the number of terms in a given…

Numerical Analysis · Mathematics 2009-09-16 J. M Greenberg , Laurent Gosse

Hyperspectral target detection has been widely studied in the field of remote sensing. However, background dictionary building issue and the correlation analysis of target and background dictionary issue have not been well studied. To…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Chenlu Wei , Zhiyu Jiang , Yuan Yuan

The designation of the radar system is to detect the position and velocity of targets around us. The radar transmits a waveform, which is reflected back from the targets, and echo waveform is received. In a commonly used model, the echo is…

Information Theory · Computer Science 2013-09-17 Alexander Fish , Shamgar Gurevich

Dictionary learning and sparse coding have been widely studied as mechanisms for unsupervised feature learning. Unsupervised learning could bring enormous benefit to the processing of hyperspectral images and to other remote sensing data…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Joshua Bruton , Hairong Wang

In this article, we review the literature on design and analysis of recursive algorithms for reconstructing a time sequence of sparse signals from compressive measurements. The signals are assumed to be sparse in some transform domain or in…

Information Theory · Computer Science 2016-06-29 Namrata Vaswani , Jinchun Zhan

Broadband microwave waveforms with programmable chirp shapes are captivating in numerous practical applications. Compared with electronic technology, photonic-assisted solutions exhibit excellent performance in bandwidth and flexibility,…

Spectrum congestion and competition over frequency bandwidth could be alleviated by deploying dual-function radar-communications systems, where the radar platform presents itself as a system of opportunity to secondary communication…

Signal Processing · Electrical Eng. & Systems 2018-08-16 Xiangrong Wang , Aboulnasr Hassanien , Moeness Amin

Random stepped frequency (RSF) radar, which transmits random-frequency pulses, can suppress the range ambiguity, improve convert detection, and possess excellent electronic counter-countermeasures (ECCM) ability [1]. In this paper, we apply…

Signal Processing · Electrical Eng. & Systems 2018-08-30 Tianyao Huang , Yimin Liu , Huadong Meng , Xiqin Wang

Audio events are quite often overlapping in nature, and more prone to noise than visual signals. There has been increasing evidence for the superior performance of representations learned using sparse dictionaries for applications like…

Machine Learning · Computer Science 2017-12-05 Vaisakh Shaj , Puranjoy Bhattacharya

Sparse representation over redundant dictionaries constitutes a good model for many classes of signals (e.g., patches of natural images, segments of speech signals, etc.). However, despite its popularity, very little is known about the…

Signal Processing · Electrical Eng. & Systems 2019-03-07 Rotem Mulayoff , Tomer Michaeli

Convolutional sparse representations are a form of sparse representation with a dictionary that has a structure that is equivalent to convolution with a set of linear filters. While effective algorithms have recently been developed for the…

Machine Learning · Computer Science 2018-09-06 Cristina Garcia-Cardona , Brendt Wohlberg

One-bit compressive sensing has extended the scope of sparse recovery by showing that sparse signals can be accurately reconstructed even when their linear measurements are subject to the extreme quantization scenario of binary…

Information Theory · Computer Science 2016-06-27 Rich Baraniuk , Simon Foucart , Deanna Needell , Yaniv Plan , Mary Wootters