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Wideband spectrum sensing is becoming increasingly important to cognitive radio (CR) systems for exploiting spectral opportunities. This paper introduces a novel multi-rate sub-Nyquist spectrum sensing (MS3) system that implements…

Information Theory · Computer Science 2013-02-07 Hongjian Sun , A. Nallanathan , Jing Jiang , Cheng-Xiang Wang

Recent advances in extreme image compression have revealed that mapping pixel data into highly compact latent representations can significantly improve coding efficiency. However, most existing methods compress images into 2-D latent spaces…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Han Liu , Hengyu Man , Xingtao Wang , Wenrui Li , Debin Zhao

The matrix pencil method is an eigenvalue based approach for the parameter identification of sparse exponential sums. We derive a reconstruction algorithm for multivariate exponential sums that is based on simultaneous diagonalization.…

Numerical Analysis · Mathematics 2018-05-17 Martin Ehler , Stefan Kunis , Thomas Peter , Christian Richter

For systems and devices, such as cognitive radio and networks, that need to be aware of available frequency bands, spectrum sensing has an important role. A major challenge in this area is the requirement of a high sampling rate in the…

Information Theory · Computer Science 2014-08-21 M. R. Avendi , K. Haghighi , A. Panahi , M. Viberg

In this paper, we consider compressive sensing (CS)-based recovery of delays and Doppler frequencies of targets in high resolution radars. We propose a novel sub-Nyquist sampling method in the Fourier domain based on difference sets (DS),…

Information Theory · Computer Science 2018-11-02 Iman Taghavi , Mohamad F. Sabahi , Farzad Parvaresh , Mohsen Mivehchy

Sampling rate required in the Nth Power Nonlinear Transformation (NPT) method is typically much greater than Nyquist rate, which causes heavy burden for the Analog to Digital Converter (ADC). Taking advantage of the sparse property of PSK…

Information Theory · Computer Science 2015-01-05 Zhengli Xing , Jie Zhou , Jiangfeng Ye , Jun Yan , Jifeng Zou , Lin Zou , Qun Wan

We introduce a new technique for narrow-band (NB) signal classification in sparsely populated wide-band (WB) spectrum using supervised learning approach. For WB spectrum acquisition, Nyquist rate sampling is required at the receiver's…

Signal Processing · Electrical Eng. & Systems 2019-04-15 M. O. Mughal , Behrad Toghi , Sarfaraz Hussein , Yaser P. Fallah

Classifying buried and obscured targets of interest from other natural and manmade clutter objects in the scene is an important problem for the U.S. Army. Targets of interest are often represented by signals captured using low-frequency…

Image and Video Processing · Electrical Eng. & Systems 2018-02-23 Tiep Vu , Lam Nguyen , Tiantong Guo , Vishal Monga

The proliferation of wireless communications has recently created a bottleneck in terms of spectrum availability. Motivated by the observation that the root of the spectrum scarcity is not a lack of resources but an inefficient managing…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Deborah Cohen , Shahar Tsiper , Yonina C. Eldar

Multi-rate asynchronous sub-Nyquist sampling (MASS) is proposed for wideband spectrum sensing. Corresponding spectral recovery conditions are derived and the probability of successful recovery is given. Compared to previous approaches, MASS…

Information Theory · Computer Science 2013-03-11 Hongjian Sun , Wei-Yu Chiu , Jing Jiang , Arumugam Nallanathan , H. Vincent Poor

Optical communication systems, which operate at very high rates, are often limited by the sampling rate bottleneck. The optical wideband regime may exceed analog to digital converters (ADCs) front-end bandwidth. Multi-channel sampling…

Information Theory · Computer Science 2017-10-11 Omri Lev , Tal Wiener , Deborah Cohen , Yonina C. Eldar

We present a sub-Nyquist analog-to-digital converter of wideband inputs. Our circuit realizes the recently proposed modulated wideband converter, which is a flexible platform for sampling signals according to their actual bandwidth…

Cellular Automata and Lattice Gases · Physics 2009-12-15 Moshe Mishali , Yonina C. Eldar , Oleg Dounaevsky , Eli Shoshan

Chinese Remainder Theorem (CRT) has been widely studied with its applications in frequency estimation, phase unwrapping, coding theory and distributed data storage. Since traditional CRT is greatly sensitive to the errors in residues due to…

Information Theory · Computer Science 2017-08-17 Hanshen Xiao , Yufeng Huang , Yu Ye , Guoqiang Xiao

The limited availability of spectrum resources has been growing into a critical problem in wireless communications, remote sensing, and electronic surveillance, etc. To address the high-speed sampling bottleneck of wideband spectrum…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Kaili Jiang , Dechang Wang , Kailun Tian , Hancong Feng , Yuxin Zhao , Sen Cao , Jian Gao , Xuying Zhang , Yanfei Li , Junyu Yuan , Ying Xiong , Bin Tang

Nyquist wavelength division (de)multiplexing (N-WDM) is a highly promising technique for next-generation high-speed elastic networks. In N-WDM, Nyquist filtering is an essential function that governs the channel spectral efficiency.…

In estimating frequencies given that the signal waveforms are undersampled multiple times, Xia et. al. proposed to use a generalized version of Chinese remainder Theorem (CRT), where the moduli are $M_1, M_2, \cdots, M_k$ which are not…

Information Theory · Computer Science 2017-09-01 Guangwu Xu

This letter presents an adaptive spectrum sensing algorithm that detects wideband spectrum using sub-Nyquist sampling rates. By taking advantage of compressed sensing (CS), the proposed algorithm reconstructs the wideband spectrum from…

Information Theory · Computer Science 2013-03-11 Hongjian Sun , Wei-Yu Chiu , A. Nallanathan

Digital modulation schemes such as PMCW have recently attracted increasing attention as possible replacements for FMCW modulation in future automotive radar systems. A significant obstacle to their widespread adoption is the expensive and…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Jingxian Wang , Moritz Kahlert , Tai Fei , Changxu Zhang , Zhaoze Wang , Markus Gardill

Chinese remainder theorem (CRT) is widely applied in cryptography, coding theory, and signal processing. It has been extended to the multidimensional CRT (MD-CRT), which reconstructs an integer vector from its vector remainders modulo…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Guangpu Guo , Xiang-Gen Xia

In the past few years, new approaches to radar signal processing have been introduced which allow the radar to perform signal detection and parameter estimation from much fewer measurements than that required by Nyquist sampling. These…

Information Theory · Computer Science 2019-02-06 Kumar Vijay Mishra , Yonina C. Eldar