| Signal analysis algorithms are developed for the detection of gravitational waves in Laser interferometric antennas including, but not limited to, LISA and LIGO, and these algorithms are tested using two gravitational wave signals. The signal analysis algorithms are based on the continuous wavelet transform, the discrete wavelet transform, and information theory. The main ideas of information theory and wavelet analysis that are used are ridge extraction, the multi-resolution analysis, and information theory applied to orthogonal functions. Ridge extraction is a continuous wavelet techniques that allows one to reconstruct the signal from a set of wavelet coefficients called the ridge. This technique will allow for a reconstruction of binary inspiral signals when several are present in the data set.; Information theory has been used in the development of data compression schemes, and the concepts of information theory applied to orthogonal functions will be developed to better understand data compression as a method of signal detection. (Abstract shortened by UMI.)... |
