| Signal extraction is, and has been, a very important field for, quite some time, and for good reason. Upon receiving a seismic reading at a site, the goal is to extricate the signal of interest from the noise-polluted reading attained. This, in and of itself, is a daunting task that has been; grappled with. The task mentioned is further compounded when there are multiple signals of interest embedded within the noisy reading.;Background will be given in Chapter 1 followed by techniques to estimate how many signals are present, and estimate the velocity and azimuth of each in Chapter 2. Asymptotics are developed to provide consistency and distributional results for the parameters of interest in Chapter 3. Finally, Chapter 4 will provide a data example followed by some summary remarks in Chapter 5. |
