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The problem of known signal detection in Additive White Gaussian Noise is considered. In previous work, a new detection scheme was introduced by the authors, and it was demonstrated that optimum performance cannot be reached in a real…

Information Retrieval · Computer Science 2007-05-23 Jaime Gomez , Ignacio Melgar , Juan Seijas , Diego Andina

In this paper, we investigate the implementation of wavelet modulation (WM) in a digital communication system and propose novel methods to improve its performance. We will put particular focus on the structure of an optimal detector in AWGN…

Other Computer Science · Computer Science 2013-08-29 Rad Niazadeh , Sahar Nassirpour , Mohammad B. Shamsollahi

In this paper, a signal detection method based on the denoise diffusion model (DM) is proposed, which outperforms the maximum likelihood (ML) estimation method that has long been regarded as the optimal signal detection technique.…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Xiucheng Wang , Peilin Zheng , Nan Cheng

We have presented a new and alternative algorithm for noise reduction using the methods of discrete wavelet transform and numerical differentiation of the data. In our method the threshold for reducing noise comes out automatically. The…

This paper presents a performance analysis framework for linear detection in fast-fading channels with possibly correlated channel and noise. The framework is both accurate and adaptable, making it well-suited for analyzing a wide range of…

Signal Processing · Electrical Eng. & Systems 2025-07-09 Almutasem Bellah Enad , Jihad Fahs , Hadi Sarieddeen , Hakim Jemaa , Tareq Y. Al-Naffouri

We present the continuous wavelet transform (WT) of white Gaussian noise and establish a connection to the theory of Gaussian analytic functions. Based on this connection, we propose a methodology that detects components of a signal in…

Numerical Analysis · Mathematics 2020-05-12 Luis Daniel Abreu , Antti Haimi , Günther Koliander , José Luis Romero

In this paper, a fresh procedure to handle image mixtures by means of blind signal separation relying on a combination of second order and higher order statistics techniques are introduced. The problem of blind signal separation is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Felipe P. do Carmo , Joaquim T. de Assis , Vania V. Estrela , Alessandra M. Coelho

Optimum Bayes estimator for General Gaussian Distributed (GGD) data in wavelet is provided. The GGD distribution describes a wide class of signals including natural images. A wavelet thresholding method for image denoising is proposed.…

Methodology · Statistics 2012-07-27 Masoud Hashemi , Soosan Beheshti

We derive and study optimal and nearly-optimal strategies for the detection of sinusoidal signals hidden in additive (Gaussian and non-Gaussian) noise. Such strategies are an essential part of algorithms for the detection of the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Bruce Allen , Maria Alessandra Papa , Bernard F. Schutz

Detection of sparse signals arises in a wide range of modern scientific studies. The focus so far has been mainly on Gaussian mixture models. In this paper, we consider the detection problem under a general sparse mixture model and obtain…

Information Theory · Computer Science 2012-11-13 T. Tony Cai , Yihong Wu

We consider the classical Neymann-Pearson hypothesis testing problem of signal detection, where under the null hypothesis ($\calH_0$), the received signal is white Gaussian noise, and under the alternative hypothesis ($\calH_1$), the…

Information Theory · Computer Science 2022-02-08 Neri Merhav

In many signal processing applications, including communications, sonar, radar, and localization, a fundamental problem is the detection of a signal of interest in background noise, known as signal detection [1] [2]. A simple version of…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Tom Anders , Hiten Prakash Kothari , R. Michael Buehrer

In this paper we propose a method of corner detection for obtaining features which is required to track and recognize objects within a noisy image. Corner detection of noisy images is a challenging task in image processing. Natural images…

Computer Vision and Pattern Recognition · Computer Science 2012-09-14 Nilanjan Dey , Pradipti Nandi , Nilanjana Barman

In this paper, we propose two contributions to neural network based denoising. First, we propose applying separate convolutional layers to each sub-band of discrete wavelet transform (DWT) as opposed to the common usage of DWT which…

Machine Learning · Computer Science 2021-02-17 Caglar Aytekin , Sakari Alenius , Dmytro Paliy , Juuso Gren

This paper considers the general signal detection and parameter estimation problem in the presence of colored Gaussian noise disturbance. By modeling the disturbance with an autoregressive process, we present three signal detectors with…

Data Analysis, Statistics and Probability · Physics 2016-07-29 Bo Tang , Haibo He , Steven Kay

In this paper, the optimal sampling strategies (uniform or nonuniform) and distortion tradeoffs for Gaussian bandlimited periodic signals with additive white Gaussian noise are studied. Our emphasis is on characterizing the optimal sampling…

Information Theory · Computer Science 2016-11-01 Elaheh Mohammadi , Farokh Marvasti

We consider a decentralized detection problem in a power-constrained wireless sensor networks (WSNs), in which a number of sensor nodes collaborate to detect the presence of a deterministic vector signal. The signal to be detected is…

Information Retrieval · Computer Science 2015-10-28 Jun Fang , Hongbin Li , Zhi Chen , Shaoqian Li

The novel approach was developed for multilevel signal detection in channels with impulsive non-Gaussian noise. This approach consists of using morphological nonlinear image filtration principles for two dimensional signals. It is a new…

Information Theory · Computer Science 2015-03-04 Sander Stepanov , Anastasios Venetsanopoulos

We suggest an adaptive sampling rule for obtaining information from noisy signals using wavelet methods. The technique involves increasing the sampling rate when relatively high-frequency terms are incorporated into the wavelet estimator,…

Statistics Theory · Mathematics 2007-06-13 Peter Hall , Spiridon Penev

A distributed detection scheme where the sensors transmit with constant modulus signals over a Gaussian multiple access channel is considered. The deflection coefficient of the proposed scheme is shown to depend on the characteristic…

Information Theory · Computer Science 2017-04-05 Cihan Tepedelenlioglu , Sivaraman Dasarathan
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