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Spectrum sensing is a fundamental component in cognitive radio. A major challenge in this area is the requirement of a high sampling rate in the sensing of a wideband signal. In this paper a wideband spectrum sensing model is presented that…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi , Kasra Haghighi , Arash Owrang , Mats Viberg

The theory of co-prime arrays has been studied in the past. Nyquist rate estimation of second order statistics using the combined difference set was demonstrated with low latency. This paper proposes a novel method to reconstruct the second…

Signal Processing · Electrical Eng. & Systems 2020-10-05 Usham V. Dias

In this paper, to jointly estimate the frequency and the direction-of-arrival(DOA) of the narrowband far-field signals, a novel array receiver architecture is presented by the concept of the sub-Nyquist sampling techniques. In particular,…

Information Theory · Computer Science 2017-02-07 Liang Liu , Ping Wei

The achievement of spectral super-resolution sensing is critically important for a variety of applications, such as radar, remote sensing, and wireless communication. However, in compressed spectrum sensing, challenges such as spectrum…

Information Theory · Computer Science 2026-04-30 Baoguo Liu , Huiguang Zhang , Wei Feng , Zongyao Liu , Zhen Zhang , Yanxu Liu

We consider the problem of reconstructing a compactly supported function from samples of its Fourier transform taken along a spiral. We determine the Nyquist sampling rate in terms of the density of the spiral and show that below this rate…

Classical Analysis and ODEs · Mathematics 2022-05-04 Philippe Jaming , Felipe Negreira , José Luis Romero

This paper presents a novel power spectral density estimation technique for band-limited, wide-sense stationary signals from sub-Nyquist sampled data. The technique employs multi-coset sampling and incorporates the advantages of compressed…

Information Theory · Computer Science 2012-05-18 Michael A. Lexa , Mike E. Davies , John S. Thompson

We propose a technique of signal acquisition using a combination of two devices with different sampling rates and quantization accuracies. Subsequent processing involving sparsity regularization enables us to reconstruct the signal at such…

Signal Processing · Electrical Eng. & Systems 2025-03-12 Vojtěch Kovanda , Pavel Rajmic

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi

Because optical systems have huge bandwidth and are capable of generating low noise short pulses they are ideal for undersampling multi-band signals that are located within a very broad frequency range. In this paper we propose a new scheme…

Optics · Physics 2009-11-13 Amir Rosenthal , Alex Linden , Moshe Horowitz

Spectrum sensing research has mostly been focusing on narrowband access, and not until recently have researchers started looking at wideband spectrum. Broadly speaking, wideband spectrum sensing approaches can be categorized into two…

Information Theory · Computer Science 2018-05-11 Bechir Hamdaoui , Bassem Khalfi , Mohsen Guizani

The power spectrum, as a statistic in Fourier space, is commonly numerically calculated using the fast Fourier transform method to efficiently reduce the computational costs. To alleviate the systematic bias known as aliasing due to the…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-24 Yipeng Wang , Yu Yu

We propose a photometric technique for future space missions that overcomes the problem of Nyquist aliases. These aliases result from typically long cadences of observation imposed by telemetry constraints. The proposed method is to…

Solar and Stellar Astrophysics · Physics 2018-11-29 Hiromoto Shibahashi , Simon J. Murphy

The estimation of the frequencies of multiple superimposed exponentials in noise is an important research problem due to its various applications from engineering to chemistry. In this paper, we propose an efficient and accurate algorithm…

Numerical Analysis · Mathematics 2016-05-05 Shanglin Ye , Elias Aboutanios

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

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

Information Theory · Computer Science 2009-06-08 Graeme Pope

In this paper, we study the problem of joint wideband spectrum sensing and direction-of-arrival (DoA) estimation in a sub-Nyquist sampling framework. Specifically, considering a scenario where a few uncorrelated narrowband signals spread…

Signal Processing · Electrical Eng. & Systems 2019-10-01 Feiyu Wang , Jun Fang , Huiping Duan , Hongbin Li

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

Signal Processing · Electrical Eng. & Systems 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti

Network reconstruction of dynamical continuous-time (CT) systems is motivated by applications in many fields. Due to experimental limitations, especially in biology, data could be sampled at low frequencies, leading to significant…

Systems and Control · Computer Science 2018-10-30 Zuogon Yue , Johan Thunberg , Lennart Ljung , Ye Yuan , Jorge Goncalves

Digital acquisition of high bandwidth signals is particularly challenging when Nyquist rate sampling is impractical. This has led to extensive research in sub-Nyquist sampling methods, primarily for spectral and sinusoidal frequency…

Information Theory · Computer Science 2024-09-26 Ruiming Guo , Yuliang Zhu , Ayush Bhandari

Recently, several array radar structures combined with sub-Nyquist techniques and corresponding algorithms have been extensively studied. Carrier frequency and direction-of-arrival (DOA) estimations of multiple narrow-band signals received…

Signal Processing · Electrical Eng. & Systems 2018-10-29 Zhan Zhang , Ping Wei , Lijuan Deng , Huaguo Zhang