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Spectrum sensing is an essential enabling functionality for cognitive radio networks to detect spectrum holes and opportunistically use the under-utilized frequency bands without causing harmful interference to legacy networks. This paper…

Information Theory · Computer Science 2016-11-18 Zhi Quan , Shuguang Cui , Ali H. Sayed , H. Vincent Poor

A cognitive radio system has the ability to observe and learn from the environment, adapt to the environmental conditions, and use the radio spectrum more efficiently. It allows secondary users (SUs) to use the primary users (PUs) channels…

Information Theory · Computer Science 2018-02-13 Fatima Salahdine

We propose a decomposition method for the spectral peaks in an observed frequency spectrum, which is efficiently acquired by utilizing the Fast Fourier Transform. In contrast to the traditional methods of waveform fitting on the spectrum,…

Signal Processing · Electrical Eng. & Systems 2022-04-19 Kaan Gokcesu , Hakan Gokcesu

In some applications of frequency estimation, it is challenging to sample at as high as the Nyquist rate due to hardware limitations. An effective solution is to use multiple sub-Nyquist channels with coprime undersampling ratios to jointly…

Information Theory · Computer Science 2017-05-26 Shan Huang , Haijian Zhang , Hong Sun , Lei Yu

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

Compressive sampling has shown great potential for making wideband spectrum sensing possible at sub-Nyquist sampling rates. As a result, there have recently been research efforts that aimed to develop techniques that leverage compressive…

Networking and Internet Architecture · Computer Science 2018-06-06 Bassem Khalfi , Bechir Hamdaoui , Mohsen Guizani , Nizar Zorba

Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

Information Theory · Computer Science 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

In this paper we study the general reconstruction of a compactly supported function from its Fourier coefficients using compactly supported shearlet systems. We assume that only finitely many Fourier samples of the function are accessible…

Functional Analysis · Mathematics 2015-07-31 Jackie Ma

Power allocation in spectrum sharing systems is challenging due to excessive interference that the secondary system could impose on the primary system. Therefore, an interference threshold constraint is considered to regulate the secondary…

Information Theory · Computer Science 2021-03-16 Mohammad Ghadir Khoshkholgh , Halim Yanikomeroglu

This paper studies two spectrum estimation methods for the case that the samples are obtained at a rate lower than the Nyquist rate. The first method is the correlogram method for undersampled data. The algorithm partitions the spectrum…

Statistics Theory · Mathematics 2013-11-25 Mahdi Shaghaghi , Sergiy A. Vorobyov

Co-prime sensing is a sub-Nyquist technique for signal acquisition. Several modifications to the prototype co-prime array have been proposed in the literature. Researchers have also demonstrated low latency estimation. This paper describes…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Usham V. Dias

We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations. Our model retains the common assumption of a multivariate…

Power-spectrum analysis is an important tool providing critical information about a signal. The range of applications includes communication-systems to DNA-sequencing. If there is interference present on a transmitted signal, it could be…

Instrumentation and Methods for Astrophysics · Physics 2015-03-18 Yogindra Abhyankar , Sajish C. , Yogesh Agarwal , C. R. Subrahmanya , Peeyush Prasad

This paper proposes a framework for fast signal acquisition based on deterministic non-uniform sampling, with emphasis on multi-coset architectures and receivers driven by known synchronization sequences, pilots, or preambles. Unlike…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Alejandro Gonzalez Garrido , Carla Amatetti

Power spectrum estimation is an important tool in many applications, such as the whitening of noise. The popular multitaper method enjoys significant success, but fails for short signals with few samples. We propose a statistical model…

Statistics Theory · Mathematics 2018-12-10 Joakim Andén , Amit Singer

This paper is concerned with the problem of how to speed up computation for Gaussian process models trained on autocorrelated data. The Gaussian process model is a powerful tool commonly used in nonlinear regression applications. Standard…

Machine Learning · Computer Science 2025-12-03 Ahmadreza Chokhachian , Matthias Katzfuss , Yu Ding

Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional (2D) variant of compressed sensing…

Quantum Physics · Physics 2012-07-17 J. N. Sanders , S. Mostame , S. K. Saikin , X. Andrade , J. R. Widom , A. H. Marcus , A. Aspuru-Guzik

An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

Information Theory · Computer Science 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

This paper introduces a generalised 3rd-order Spectral Representation Method for the simulation of multi-dimensional stochastic fields with asymmetric non-linearities. The simulated random fields satisfy a prescribed Power Spectrum and…

Statistics Theory · Mathematics 2020-07-06 Lohit Vandanapu , Michael D. Shields

In this paper, we consider non-contiguous wideband spectrum sensing (WSS) for spectrum characterization and allocation in next generation heterogeneous networks. The proposed WSS consists of sub-Nyquist sampling and digital reconstruction…

Signal Processing · Electrical Eng. & Systems 2018-09-18 Himani Joshi , Sumit J Darak , A Anil Kumar , Rohit Kumar