Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise
نویسندگان
چکیده
منابع مشابه
Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise
Poisson distributed shot noise is normally considered in the Gaussian limit in cosmology. However, if the shot noise is large enough and the correlation function/power spectrum conspires, the Gaussian approximation mis-estimates the errors and their covariance significantly. The power spectrum, even for initially Gaussian densities, acquires cross correlations which can be large, while the chan...
متن کاملPower-law shot noise
The behavior of power-law shot noise, for which the associated impulse response functions assume a decaying power-law form, is explored. Expressions are obtained for the moments, moment generating functions, amplitude probability density functions, autoCorrelation functions, and power spectral densities for a variety of parameters of the process. For certain parameters the power spectral densit...
متن کاملImage Denoising in Mixed Poisson-Gaussian Noise
We propose a general methodology (PURE-LET) to design and optimize a wide class of transform-domain thresholding algorithms for denoising images corrupted by mixed Poisson-Gaussian noise. We express the denoising process as a linear expansion of thresholds (LET) that we optimize by relying on a purely data-adaptive unbiased estimate of the mean-squared error (MSE), derived in a non-Bayesian fra...
متن کاملCorrelation Statistics of Gaussian Noise
In order to detect correlation of Gaussian signals, linear, rank, and sign correlation are developed. Magnitude of correlation coefficients, significance, and two-sided significance are computed and compared for each test. Programs are written as macro files, in c++, that are run in ROOT. Efficiencies of correlation tests are calculated resulting in a relative length equation, and methods of ac...
متن کاملFractal-shot-noise Driven Doubly Stochastic Poisson Point Process
We explore the behavior of the fractal-shot-noise driven doubly stochastic Poisson point process or FSNDP, for which the associated impulse response functions assume a decaying power-law form. For a variety of parameters of the process, we obtain expressions for the count number distribution and moments, Fano factor, normalized coincidence rate, power spectral density, and time probability dens...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: New Astronomy
سال: 2006
ISSN: 1384-1076
DOI: 10.1016/j.newast.2005.08.002