$\DeclareMathOperator{\arccosh}{arccosh} \DeclareMathOperator*{\argmin}{arg\,min} \DeclareMathOperator{\Exp}{Exp} \newcommand{\geo}[2]{\gamma_{\overset{\frown}{#1,#2}}} \newcommand{\geoS}{\gamma} \newcommand{\geoD}[2]{\gamma_} \newcommand{\geoL}[2]{\gamma(#2; #1)} \newcommand{\gradM}{\nabla_{\M}} \newcommand{\gradMComp}[1]{\nabla_{\M,#1}} \newcommand{\Grid}{\mathcal G} \DeclareMathOperator{\Log}{Log} \newcommand{\M}{\mathcal M} \newcommand{\N}{\mathcal N} \newcommand{\mat}[1]{\mathbf{#1}} \DeclareMathOperator{\prox}{prox} \newcommand{\PT}[3]{\mathrm{PT}_{#1\to#2}#3} \newcommand{\R}{\mathbb R} \newcommand{\SPD}[1]{\mathcal{P}(#1)} \DeclareMathOperator{\Tr}{Tr} \newcommand{\tT}{\mathrm{T}} \newcommand{\vect}[1]{\mathbf{#1}}$

# Add (Rician or Gaussian white) noise

Adds Rician (standard) or Gaussian (set 'Distribution' to 'Gaussian') with mean zero (using the tangent space) to data.

### Matlab Documentation

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% addNoise(x,sigma) add (Rician or Gaussian) noise to data x
%
% INPUT
%   x    : data from P(n)
%  sigma : standard deviation
%
% OPTIONAL
%  'Distribution' : ('Rician') whether to add Rician or 'Gaussian'
%                    noise
% ---
% Manifold-Valued Image Restoration Toolbox 1.0
% R. Bergmann ~ 2018-03-04