Data Analysis Log
Here you will find about my everyday progress
Glitch studies
2008/04/07 ...... Glitch Central Frequency Analysis - preliminary.
2008/04/09 ...... Glitch Central Frequency Analysis.
2008/04/21 ...... Peak spacing analysis algorithm testing.
2008/04/21 ...... Peak spacing analysis algorithm applied to real data.
2008/04/30 ...... Marking the peaks with most frequent spacings.
Bayes studies
2008/05/12 ...... Two Parameter estimation of a Sine-Gaussian contaminated with gaussian noise.
2008/05/20 ...... Parameter estimation with MCMC using Metropolis-Hasting algorithm.
2008/05/21 ...... Parameter estimation with MCMC using Gibbs sampling.
2008/05/20 ...... MCMC study on bimodal bivariate normal distribution.
2008/05/21 ...... MCMC study on sine-gaussian injection on a 4D parameter space.
GW source population studies
2008/06/30 ...... GW sources (theory).
2008/07/12 ...... GW sources - Galactic Population.
2008/07/12 ...... Preliminar Beam pattern study.
2008/07/15 ...... Galactic disc population study (Amplitude Distribution).
2008/07/16 ...... Galactic population study (Amplitude Distribution).
2008/07/16 ...... Galactic population study (MCMC for parameter estimation).
2008/07/17 ...... Injection of the signals and parameter estimation from amplitude distribution).
Beam pattern studies
2008/07/25 ...... Beam pattern function distribution.
MCMC work
2008/08/05 ...... MCMC of a source of known location and unkown (ho,tau,psi) - 3D.
2008/08/07 ...... Probability Densities for spherical coordinates on isotropic sources.
2008/08/14 ...... MCMC of a source of known location and unkown (thetaL,phiL,ho,tau) - 4D (first).
2008/08/22 ...... Polarisation angle study for random L and N.
2008/08/23 ...... MCMC of a source of known location and unkown (thetaL,phiL,ho,tau) - 4D (second).
2nd year report
Second year report
Convergence studies and Multimodal distributions
Convergence study
Simulated Annealing
Discrete Fourier Transformation study
DFT study for sin and cos exponentials (05 Nov 2008)
Laser Interferometric Detector Sensitivity (05 Nov 2008)
Neutron Star Oscillations (05 Nov 2008)
Discrete Fourier Transform and SNR calculations (06 Nov 2008)
Exhaustive log-likelihood studies (too high SNR)
Exhaustive log-likelihood studies - Analytical (26 Nov 2008)
Exhaustive log-likelihood studies (good SNR)
Exhaustive log-likelihood studies - Analytical (04 Dec 2008)
SNR study
SNR study (varying h0,f0) (08 Dec 2008)
Parameter inference error
Why is the inference of the damping-time value so poor? (11 Dec 2008)
Energy of damped sinusoid signals
Does energy constrain help in reducing the uncertainty of the parameter estimation? (12 Dec 2008)
2009
DFT values - Distribution
Reconstruction of sampled (discrete) signals using DFT (FFT)
Magnitude and Phase Distributions (DFT) (07 Jan 2009)
Marginalisation curves
Marginalisation curves - Exhaustive logL (08 Jan 2009)
Parameter estimation using logL (exhaustive)
2D parameter estimation (f0,tau)(10 Jan 2009)
3D parameter estimation (f0,tau,h0)(10 Jan 2009)
4D parameter estimation (f0,tau,h0,inj)(10 Jan 2009)
Discrete Fourier Transform (DFT with FFT), DTFT and CTFT
Reconstruction of Sampled Signals (Discrete) with DFT (FFT) (20 Jan 2009)
Discrete Time Frequency Transformation (DTFT) (21 Jan 2009)
logL calculation (DFT compared with DTFT) (22 Jan 2009)
logL map and hot pixel statistics - 2D (26 Jan 2009)
logL map and hot pixel statistics - 3D (26 Jan 2009)
Comments about SNR calculation (26 Jan 2009)
logL map and hot pixel statistics - 2D (improved) (29 Jan 2009)
logL maps and marginalisation curves - 3D (improved)- No noise (29 Jan 2009)
MCMC
McMC (MH) - 1 signal and 2 parameters (f0 and tau) (28 Jan 2009)
McMC (MH) - 1 signal and 3 parameters (f0,tau,h0) (02 Feb 2009)
McMC (MH-SA) - 1 signal and 3 parameters (f0,tau,h0) (02 Feb 2009)
Comparison normal-MH and MH-SA (02 Feb 2009)
Improved MCMC
McMC(MH) - 1 signal and 2 parameters (f0 and tau) (06 Feb 2009)
McMC(MH) - 1 signal and 3 parameters (f0 and tau) (06 Feb 2009)
MCMC - Exercise Delayed Rejection
Exercise of MH with Delayed Rejection on a Bivariate Normal Distribution
Theoretical uncertainties in f and tau
Uncertainties on f and tau for F,P and W oscillation modes
Uncertainties on f and tau for Ns oscillation values from Kokkotas & Andersson
Uncertainty ellipses vs. SNR values
Check real and imaginary coefficient logL map independently
2D logL map comparison.
Matlab implementations from of sinusoidal models from
'Bayesian Spectrum Analysis and Parameter Estimation' by G. Larry Bretthorst.
Two easy examples plus Lorentzian decay (page 86) (2009/03/04).
Comparison of Likelihood and Joint-Likelihood for Lorentzian decay (page 34) (2009/03/09).
Marginalisation of joint-Likelihood (2009/03/10).
Marginalisation of 3D joint-Likelihood to 2D maps(2009/03/11).
Marginalisation of 4D joint-Likelihood to 2D maps(2009/03/11).
DFT and DTFT comparisons for shifted signals
Two examples of the DFT and DTFT of shifted signals (2009/03/16).
Sin and Cos exponential SHIFTED (improved) (2009/03/26).
Parameter Estimation 3D (Cardiff meeting)
Slides for ET meeting (Cardiff)(2009/03/26).
Parameter Estimation 4D/5D
Parameter estimation 3D (h0,f0,tau) (2009/03/26).
Parameter estimation 4D (h01,h02,f0,tau) (2009/03/26).
Parameter estimation 5D (h01,h02,f0,tau,T0) (2009/03/26).
Antena Pattern Function Probability Distribution
F+ and Fx distribution (2009/04/01).
Generation of Discrete Random Quantities
Generating Samples from a random distribution (2009/04/01).
Realistic vs. Isotropic Fc/Fp Prob.Distr.Functions
Realistic vs. Isotropic Fc/Fp Prob.Distr.Functions (2009/04/02).
Antenna Pattern Functions and Source Location
Antenna Pattern Functions and Source Location (2009/04/22).
Parameter estimation with Non-Gaussian noise (1 detector)
Parameter estimation for linearly polarised signal (3D) (2009/04/22).
Parameter estimation for circularly polarised signal (4D) (2009/04/22).
Non-white noise
Non-White Normal Noise realisation in the frequency domain (2009/05/07).
Non-White Normal Noise (2009/05/13) (correct - overrides previous link).
Parameter estimation with Non-White Gaussian noise (1 detector)
Parameter estimation for 3D (linearly polarised signal) (2009/05/14).
Parameter estimation for 4D (circularly polarised signal) (2009/05/14).
Noise realisation comparison
Noise Realisation Comparison (Generation vs. Simulation) (26/05/2009).
Detector Location/Orientation Study - Single
Orientation/Location study (single Michelson detector) (16/07/2009).
Orientation/Location study (second part, lambda = f(iota)).
Orientation/Location study (third part, lambda = 0, lambda = 1).
More in depth study of particular Orientation/Locations.
Detector Location/Orientation Study - Triangular
Orientation/Location study for a Triangle Michelson (ET type) detector (4/08/2009).
Iota-Lambda distribution (31/07/2009).
Curve-Fitting using Chebishev polynomials (31/07/2009).
Detection Probability Studies
Detection Probability Study for Single Michelson (06/08/2009).
Detection Probability Study for Triangular Michelson (10/08/2009).
Parallel Tempering
Parallel Tempering Exercise (03/09/2009).
Parallel Tempering by necessity (03/09/2009).
DISTRIBUTIONS - PRIORS
Distance/Dec/RA Distributions (Fp/Fc) for DISC/ISO NS population
Distance Distribution
Dec & RA Distribution
Amplitude Distribution
Ellipticity Distribution
Polarisation angle Distribution
Antenna Pattern Distributions (Fp/Fc) for various detectors and DISC/ISO NS population
CURRENT DETECTORS: Fc and Fp DISC vs. ISO Distribution
HYPOTHETICAL ET DETECTORS: Fc and Fp DISC vs. ISO Distribution
5D PARAMETER ESTIMATION (SOURCE LOCATION KNOWN) - with Nested Sampling
UNIFORM PRIORS FOR ALL THE VARIABLES
VXN1: f-oscillation mode (Different Amplitudes, 3 detectors)
VXN1: f-oscillation mode (Same Amplitude, Different number of detector - Different Noise Realisation)
VXN1: f-oscillation mode (Same Amplitude, Different number of detector - Same Noise Realisation)
Nested Sampling - VXN2: p-oscillation mode
Nested Sampling - VXN1N2: f- and p-oscillation modes
SIGNAL AMPLITUDE, ENERGY CONTENT AND SNR RELATIONS
Energy/Amplitude relations - equations - Kokkotas values
Plots of Amplitudes and SNR for the freq/tau values of Kokkotas et al.
Energy & SNR relations