Topic
White noise
About: White noise is a research topic. Over the lifetime, 16496 publications have been published within this topic receiving 318633 citations.
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TL;DR: In this paper, the detectability of a complex signal, one generated by adding two sinusoids, and partially masked by white noise, is determined using three mathematical models, all interpretable as an extension of the critical band concept.
Abstract: The detectability of a complex signal, one generated by adding two sinusoids, and partially masked by white noise, is determined. Several frequencies and three durations are used for the signal. The experimental determinations are compared with three mathematical models. These models are all interpretable as an extension of the critical band concept. The data are best explained by a model in which it is assumed that two or more critical bands may be linearly combined. This implies that the auditory mechanism may change the appropriate parameters of the analysis process in order to match the signal to be detected.
117 citations
TL;DR: In this article, an adaptive fast ensemble EEMD (AFEEMD) method combined with complementary ensemble EMD (CEEMD), where the two critical parameters are respectively fixed as 0.01 times standard deviation of the original signal and two ensemble trials.
117 citations
TL;DR: In this article, an extensible beam equation with a stochastic force of a white noise type is studied, Lyapunov functions techniques are used to prove existence of global mild solutions and asymptotic stability of the zero solution.
Abstract: An extensible beam equation with a stochastic force of a white noise type is studied, Lyapunov functions techniques being used to prove existence of global mild solutions and asymptotic stability of the zero solution.
117 citations
TL;DR: In this article, the variance of the Allan variance for commonly encountered spectral densities of frequency fluctuations and the relative uncertainty in the evaluation of frequency stability, as a function of m, were derived.
Abstract: We consider the characterization of the frequency stability of signal generators by means of the Allan variance of their fractional frequency fluctuations. As the number m of measurements is always finite, one can only get an estimate of this variance, which is a random function of m. We calculate the variance of the Allan variance for commonly encountered spectral densities of frequency fluctuations and deduce the relative uncertainty in the evaluation of frequency stability, as a function of m. The theory is experimentally checked for white noise of phase and flicker noise of frequency. The main hypothesis of the calculations, i.e., the Gaussian character of frequency fluctuations is verified. The m dependence of the uncertainty (one sigma) in the evaluation of frequency stability agrees with the predicted value.
117 citations
04 May 1997
TL;DR: In this article, the TLS-ESPRIT is applied to estimate the unknown frequencies of sinusoids in a white nonstationary noise, and it is shown that if the noise (after the deconvolution) is a white stationary process, then TLS-EPRIT derived returns to TLS-EsPRIT for the stationary noise case, and the computer simulations show that the derived method produces unbiased, high resolution time delay estimates.
Abstract: In this paper TLS-ESPRIT is applied to a time delay estimation. The correlation method and a frequency domain deconvolution are used to convert the time delay estimation problem to a estimation of frequencies of complex sinusoids in a white nonstationary noise. TLS-ESPRIT is then applied to estimate the unknown frequencies, i.e., the time delays. It is shown that if the noise (after the deconvolution) is a white stationary process the TLS-ESPRIT derived returns to TLS-ESPRIT derived earlier for the stationary noise case. The computer simulations show that the derived method produces unbiased, high resolution time delay estimates.
116 citations