LALInspiralWaveNormalise.c File Reference

Module to find the norm of a signal and to return a normalised array. The original signal is left untouched. More...

Prototypes
void	LALInspiralWaveNormalise (LALStatus *status, REAL4Vector *in, REAL8 *norm, REAL8Vector psd)

Detailed Description

Module to find the norm of a signal and to return a normalised array. The original signal is left untouched.

Author

Sathyaprakash, B. S.

Prototypes

LALInspiralWaveNormalise()

Description

Given the positive frequency Fourier components \(H_k,\) \(k=0,\ldots,n-1,\) of a vector and the noise PSD \(S_m,\) \(m=0,\ldots,n/2,\) this module first computes the norm \(H\) of the vector treating \(S_m\) as the measure: (note that in {fftw} notation, the zeroth frequency component is \(H_0,\) Nyquist is \(H_{n/2},\) \(H_k,\) \(k \ne 0,n/2,\) ( \(H_{n-k})\) is the real (imaginary) part of the \(k\)th harmonic)

\begin{equation} \label{eq_inspiralnorm} H = \sum_{k=1}^{n/2-1} \frac{H_k^2 + H^2_{n-k}}{S_k}. \end{equation}

(Note that the zeroth and Nyquist components are ignored in the computation of the norm.) It then replaces the original vector \(H_k\) with normalized vector using:

\begin{equation} \widehat H_k = \frac {H_k}{\sqrt H},\ \ k=0,\ldots n-1. \end{equation}

Algorithm

Uses

none.

Notes

Definition in file LALInspiralWaveNormalise.c.

Go to the source code of this file.

Function Documentation

LALInspiralWaveNormalise()

void LALInspiralWaveNormalise	(	LALStatus *	status,
		REAL4Vector *	in,
		REAL8 *	norm,
		REAL8Vector	psd
	)

Definition at line 70 of file LALInspiralWaveNormalise.c.