2019
DOI: 10.1016/j.sigpro.2018.09.005
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Asymptotically optimal one-bit quantizer design for weak-signal detection in generalized Gaussian noise and lossy binary communication channel

Abstract: In this paper, quantizer design for weak-signal detection under arbitrary binary channel in generalized Gaussian noise is studied. Since the performances of the generalized likelihood ratio test (GLRT) and Rao test are asymptotically characterized by the noncentral chi-squared probability density function (PDF), the threshold design problem can be formulated as a noncentrality parameter maximization problem. The theoretical property of the noncentrality parameter with respect to the threshold is investigated, … Show more

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Cited by 18 publications
(11 citation statements)
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References 34 publications
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“…The conventional method of analysing the state space diagrams of the Duffing oscillator is effective in detecting weak periodic signals in noise with low SNR as demonstrated in Fig. 2 [7, 34–44]. However, this method is manual; it does not have a graphical representation of the frequency spectrum such as FFT.…”
Section: Discussionmentioning
confidence: 99%
“…The conventional method of analysing the state space diagrams of the Duffing oscillator is effective in detecting weak periodic signals in noise with low SNR as demonstrated in Fig. 2 [7, 34–44]. However, this method is manual; it does not have a graphical representation of the frequency spectrum such as FFT.…”
Section: Discussionmentioning
confidence: 99%
“…For the context of SAR images, the pixel magnitudes usually follow an asymmetric distribution and have nonnegative values; hence, aiming at having a good characterization of image pixel magnitude, we selected some well-known distributions with nonnegative support, such as Burr, Gamma, Log-normal, Rayleigh, Rician, and Weibull. Additionally, we considered the Gaussian distribution as a preliminary study to fit the targets related to the small size data, since this distribution is widely used in signal and image processing [18], [19].…”
Section: Discussionmentioning
confidence: 99%
“…where ⎾(. ) is the Gamma Function, and −1 > 0 and > 0 represent the scale and shape parameters [43]. In this case, notably, the value of ranges from 1, 2 to ∞.…”
Section: (Iii) Quantisationmentioning
confidence: 99%