Optimal noise benefits in Neyman-Pearson signal detection

Concept, analysis, and demonstration of a novel delay network exhibiting stochastic resonance induced by external noise

“…In the same period, F. Chapeau-Blondeau and his collaborators did extensive work focusing on the SR effect in optimum detection including Bayesian estimation and minimax detection [27][28][29][30][31][32][33]. Such investigations have made it clear that adding noise makes a contribution to an improvement in the performance of algorithms, which motivates one to apply the essence of SR to Neyman-Pearson detection [13], parameter estimation [22], nonparametric detection [34,35], and the forward error correction scheme [36]. These fundamental studies are good references for the application of SR in the fields of image processing [21,37] and communication systems [38].…”

“…In this sense, many works consider nonlinear devices/systems, and an attempt is made to detect the weak signal, which many authors refer to as a sub-threshold signal in threshold devices, by adding noise. Traditional nonlinear devices such as comparators and Schmitt triggers have been considered, and the effect of SR have been discussed [2,3,12,13]. Many papers on physics have measured the amplification gain, mainly by using the signal-to-noise ratio [1][2][3]6,14,15].…”

A novel FPGA-based architecture for the estimation of the virtual dimensionality in remotely sensed hyperspectral images

“…the number of spectral bands) who represents the different rows or columns. Initially, we form the sets (1, 2), (3,4),…, (n À 1, n) in which the first component represents the row of the elements to be zeroed and the second component represents its column. At the end of one iteration, it fixes one competitor (number '1' in our case) and rotates the others clockwise one position.…”

Noise enhanced binary hypothesis-testing in a new framework

“…In the hypothesis testing problem, the research on how to improve the performance of a suboptimal detector via adding an independent additive noise to their observations is usually based on Neyman-Pearson [9,12], Bayes [13,14] and Minimax criteria [15]. In fact, the noise enhancements can also be obtained for an optimal detector in some cases, as investigated in [5,12,16].…”

“…SR, can also be found in signal detection. Researches in recent years indicate that the improvement of some nonlinear systems can be obtained by increasing the background noise level or injecting additive noise to their input [9][10][11][12][13][14][15][16][17][18]. The metric of improvements can be measured by the increase of output signal-* Corresponding author.…”