Prototypes
static void	gaussian_noise (REAL8TimeSeries series, double rms, gsl_rng rng)

static void	semi_major_minor_from_e (double e, double a, double b)

COMPLEX16	XLALMeasureHPeak (const REAL8TimeSeries hplus, const REAL8TimeSeries hcross, unsigned *index)
	Return the strain of the sample with the largest magnitude. More...

REAL8	XLALMeasureIntS1S2DT (const REAL8TimeSeries s1, const REAL8TimeSeries s2)
	Computes the integral of the product of two time series. More...

REAL8	XLALMeasureHrss (const REAL8TimeSeries hplus, const REAL8TimeSeries hcross)
	Computes "root-sum-square strain", or \(h_{\mathrm{rss}}\). More...

REAL8	XLALMeasureIntHDotSquaredDT (const COMPLEX16FrequencySeries *fseries)
	Computes the integral of the square of a real-valued time series' first derivative from its Fourier transform. More...

REAL8	XLALMeasureEoverRsquared (REAL8TimeSeries hplus, REAL8TimeSeries hcross)
	Computes the areal energy density carried by a gravitational wave. More...

int	XLALGenerateImpulseBurst (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 hpeak, REAL8 delta_t)
	Genereates a single-sample impulse waveform. More...

int	XLALGenerateBandAndTimeLimitedWhiteNoiseBurst (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 duration, REAL8 frequency, REAL8 bandwidth, REAL8 eccentricity, REAL8 phase, REAL8 int_hdot_squared, REAL8 delta_t, gsl_rng *rng)
	Generate a band- and time-limited white-noise burst waveform with Gaussian envelopes in the time and frequency domains. More...

double	XLALSimBurstSineGaussianQ (double duration, double centre_frequency)
	Compute the Q of a sine-Gaussian waveform from the duration and centre frequency. More...

double	XLALSimBurstSineGaussianDuration (double Q, double centre_frequency)
	Compute the duration of a sine-Gaussian waveform from the Q and centre frequency. More...

int	XLALSimBurstSineGaussian (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 Q, REAL8 centre_frequency, REAL8 hrss, REAL8 eccentricity, REAL8 phase, REAL8 delta_t)
	Generate sine- and cosine-Gaussian waveforms with various polarizations and phases. More...

int	XLALSimBurstGaussian (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 duration, REAL8 hrss, REAL8 delta_t)
	Generate Gaussian waveforms. More...

static int	XLALGenerateString (REAL8TimeSeries hplus, REAL8TimeSeries hcross, const char *waveform, REAL8 amplitude, REAL8 f_high, REAL8 delta_t)
	Function for generating cosmic string waveforms. More...

int	XLALGenerateStringCusp (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 amplitude, REAL8 f_high, REAL8 delta_t)
	Generates cosmic string cusp waveforms. More...

int	XLALGenerateStringKink (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 amplitude, REAL8 f_high, REAL8 delta_t)
	Generates cosmic string kink waveforms. More...

int	XLALGenerateStringKinkKink (REAL8TimeSeries hplus, REAL8TimeSeries hcross, REAL8 amplitude, REAL8 delta_t)
	Generates cosmic string kink waveforms. More...

int	XLALSimBurstCherenkovRadiation (REAL8TimeSeries hplus, REAL8TimeSeries hcross, double source_length, double dE_over_dA, double deltaT)
	Generates Cherenkov like waveforms. More...

double	XLALSimBurstCherenkov_dE_dA (double power, double beta, double r)
	energy calculating function for Cherenkov burst. More...

Function Documentation

◆ gaussian_noise()

static void gaussian_noise	(	REAL8TimeSeries *	series,
		double	rms,
		gsl_rng *	rng
	)

static

Definition at line 61 of file LALSimBurst.c.

◆ semi_major_minor_from_e()

static void semi_major_minor_from_e	(	double	e,
		double *	a,
		double *	b
	)

static

Definition at line 77 of file LALSimBurst.c.

◆ XLALGenerateString()

static int XLALGenerateString	(	REAL8TimeSeries **	hplus,
		REAL8TimeSeries **	hcross,
		const char *	waveform,
		REAL8	amplitude,
		REAL8	f_high,
		REAL8	delta_t
	)

static

Function for generating cosmic string waveforms.

Generates the \(h_{+}\) and \(h_{\times}\) components of a cosmic string cusp, kink, and kink-kink waveform. These waveforms are linearly polarized and placed in the \(h_{+}\) compnent. The \(h_{\times}\) component is set to 0. The waveform peaks at t = 0 (as defined by the epoch and deltaT)

In the frequency domain, the waveform is \(A f^{-q}\) with a (non-physical) low-frequency cut-off and a (physical) high-frequency cut-off. For kink-kinks the high-frequency cutoff doesn't exist, and the argument given is ignored.

\begin{equation} \tilde{h}_{+}(f) = A f^{-q} \left(1 + \frac{f_{\mathrm{low}}^{2}}{f^{2}}\right)^{-4} \begin{cases} \exp(1 - f/f_{\mathrm{high}}) & f > f_{\mathrm{high}} \\ 1 & f \leq f_{\mathrm{high}} \end{cases} \end{equation}

The output has a Tukey window applied to force it to go to 0 smoothly at the start and end. The low frequnecy cut-off is fixed at \(f_{\mathrm{low}} = 1 \mathrm{Hz}\), so these waveforms should be high-pass filtered before being used as injections or search templates.

String cusp examples.

Parameters

[out]	hplus	Address of a REAL8TimeSeries pointer to be set to the address of the newly allocated \(h_{+}\) time series. Set to NULL on failure.
[out]	hcross	Address of a REAL8TimeSeries pointer to be set to the address of the newly allocated \(h_{\times}\) time series. Set to NULL on failure.
[in]	waveform	Name of waveform. Should be cusp, kink, or kinkkink.
[in]	amplitude	Waveform's amplitude parameter, \(A\), in units of \(\mathrm{strain}\,\mathrm{s}^{-\frac{1}{3}}\).
[in]	f_high	High frequency cut-off, \(f_{\mathrm{high}}\), in Hertz.
[in]	delta_t	Sample period of output time series in seconds.

Return values

0	Success
<0	Failure

Definition at line 1340 of file LALSimBurst.c.

Prototypes

Function Documentation

◆ gaussian_noise()

◆ semi_major_minor_from_e()

◆ XLALGenerateString()