Detailed Description

Struct to hold the 'atoms', ie weighted phase-derivative averages like \( \langle a^2 \partial_i \phi \partial_j \phi\rangle> \) from which the F-metric is computed, but also the full Fisher-matrix.

The noise-weighted average is defined as \( \langle Q\rangle \equiv \frac{1}{T} \, \sum_X w^X\, \int_0^T Q\, dt \) , where \( w^X \) is the noise-weight for detector X, and \( T \) is the observation time, see [20] for details.

Definition at line 201 of file UniversalDopplerMetric.h.

Data Fields
REAL8	a_a
	\( \langle a^2 \rangle = A \) More...

REAL8	a_b
	\( \langle a b \rangle = C \) More...

REAL8	b_b
	\( \langle b^2 \rangle = B \) More...

gsl_vector *	a_a_i
	\( \langle a^2 \, \partial_i\phi \rangle \) More...

gsl_vector *	a_b_i
	\( \langle a\, b \, \partial_i\phi \rangle \) More...

gsl_vector *	b_b_i
	\( \langle b^2 \, \partial_i\phi \rangle \) More...

gsl_matrix *	a_a_i_j
	\( \langle a^2 \, \partial_i\phi \, \partial_j\phi \rangle \) More...

gsl_matrix *	a_b_i_j
	\( \langle a\,b \, \partial_i\phi \, \partial_j\phi \rangle \) More...

gsl_matrix *	b_b_i_j
	\( \langle b^2 \, \partial_i\phi \, \partial_j\phi \rangle \) More...

double	maxrelerr
	estimate for largest relative error in metric component integrations More...

Field Documentation

◆ a_a

REAL8 FmetricAtoms_t::a_a

\( \langle a^2 \rangle = A \)

Definition at line 202 of file UniversalDopplerMetric.h.

◆ a_b

REAL8 FmetricAtoms_t::a_b

\( \langle a b \rangle = C \)

Definition at line 203 of file UniversalDopplerMetric.h.

◆ b_b

REAL8 FmetricAtoms_t::b_b

\( \langle b^2 \rangle = B \)

Definition at line 204 of file UniversalDopplerMetric.h.

◆ a_a_i

gsl_vector* FmetricAtoms_t::a_a_i

\( \langle a^2 \, \partial_i\phi \rangle \)

Definition at line 206 of file UniversalDopplerMetric.h.

◆ a_b_i

gsl_vector* FmetricAtoms_t::a_b_i

\( \langle a\, b \, \partial_i\phi \rangle \)

Definition at line 207 of file UniversalDopplerMetric.h.

◆ b_b_i

gsl_vector* FmetricAtoms_t::b_b_i

\( \langle b^2 \, \partial_i\phi \rangle \)

Definition at line 208 of file UniversalDopplerMetric.h.

◆ a_a_i_j

gsl_matrix* FmetricAtoms_t::a_a_i_j

\( \langle a^2 \, \partial_i\phi \, \partial_j\phi \rangle \)

Definition at line 210 of file UniversalDopplerMetric.h.

◆ a_b_i_j

gsl_matrix* FmetricAtoms_t::a_b_i_j

\( \langle a\,b \, \partial_i\phi \, \partial_j\phi \rangle \)

Definition at line 211 of file UniversalDopplerMetric.h.

◆ b_b_i_j

gsl_matrix* FmetricAtoms_t::b_b_i_j

\( \langle b^2 \, \partial_i\phi \, \partial_j\phi \rangle \)

Definition at line 212 of file UniversalDopplerMetric.h.

◆ maxrelerr

double FmetricAtoms_t::maxrelerr

estimate for largest relative error in metric component integrations

Definition at line 214 of file UniversalDopplerMetric.h.