Chapter 10: Time Series Analysis

This chapter covers the analysis of both periodic and non-periodic time series, for both regularly and irregularly spaced data.

Fourier Reconstruction of RR-Lyrae Templates

Plot a Diagram explaining a Convolution

The effect of Sampling

The effect of Sampling

Fast Fourier Transform Example

Plot the power spectrum of LIGO data

Wavelet transform of Gaussian Noise

Wavelet transform of a Noisy Spike

Examples of Wavelets

Wiener Filter Example

Wiener Filter / kernel smooting Connection

Minimum component fitting procedure

Example of Minimum Component Filtering

The effect of Sampling

Example of Lomb-Scargle Algorithm

Generalized vs Standard Lomb-Scargle

Phased LINEAR Light Curve

Lomb-Scargle Aliasing

BIC for LINEAR light curve

Clustering of LINEAR data

Clustering of LINEAR data

GMMBayes classification of LINEAR data

SVM classification of LINEAR data

Arrival Time Analysis

Matched Filter Burst Search

Matched Filter Chirp Search

Matched Filter Chirp Search

Chirp wavelet PSD

Generating Power-law Light Curves

Autocorrelation Function