Statistical noise analysis in GRAPPA using a parametrized noncentral Chi approximation model
نویسندگان
چکیده
منابع مشابه
Statistical noise model in GRAPPA-reconstructed images
Noise in Parallel Imaging Parallel MRI (pMRI) techniques extended the applicability of multiple-coil systems by increasing the acquisition rate via subsampled acquisitions of the k-space data. Many reconstruction methods have been proposed in order to suppress the aliasing and underlying artifacts created by the subsampling. Dominant among these are SENSE and GRAPPA. One of the effects in accel...
متن کاملValidity of the noncentral chi model in multiple-coil systems with noise correlations
Noise in Multiple-Coil Systems(2) Noise is one of the main sources of quality deterioration in Magnetic Resonance (MR) data. It is usually modeled attending to the scanner coil architecture. The complex spatial MR data is typically assumed to be a complex Gaussian process, where the real and imaginary parts of the original signal are corrupted with uncorrelated Gaussian noise with zero mean and...
متن کاملStatistical analysis of crossover interference using the chi-square model.
The chi-square model (also known as the gamma model with integer shape parameter) for the occurrence of crossovers along a chromosome was first proposed in the 1940's as a description of interference that was mathematically tractable but without biological basis. Recently, the chi-square model has been reintroduced into the literature from a biological perspective. It arises as a result of cert...
متن کاملInequalities for Noncentral Chi-square Distributions
Noncentral chi-square distributions play an important role in statistics. They occur for instance as exact or limiting distributions of test statistics under alternatives. To examine the power functions of such tests we come across the problem of comparing distribution functions of noncentral chi-square variables. In this section inequalities are presented, which make such a comparison possible...
متن کاملThe bivariate noncentral chi-square distribution - A compound distribution approach
This paper proposes the bivariate noncentral chi-square (BNC) distribution by compounding the Poisson probabilities with the bivariate central chi-square distribution. The probability density and cumulative distribution functions of the joint distribution of the two noncentral chi-square variables are derived for arbitrary values of the correlation coefficient, degrees of freedom(s), and noncen...
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: Magnetic Resonance in Medicine
سال: 2010
ISSN: 0740-3194
DOI: 10.1002/mrm.22701