alps::alea::circular_var Struct Reference

#include <var_strategy.hpp>

Collaboration diagram for alps::alea::circular_var:

Detailed Description

Error understood with the circularity constraint.

Given a complex sample mean xbar, the standard error of the mean xerror is the real number defined such that roughly two thirds of the values should fall in a circle of radius xerror around xbar. The error in the real case is defined in the usual sense.

This is usually the error estimate you want for stochastic postprocessing. In particular, if z = U*x, where z is a complex random vector, x is a real random vector, and U is a unitary matrix (such as a Fourier transform), the circular error on z coincides with the usual error on x. However, plotting real or imaginary part with the circular error can be misleading. In this case, one should use elliptic_var.

Definition at line 38 of file var_strategy.hpp.

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The documentation for this struct was generated from the following file:

• alps/alea/var_strategy.hpp