Signal Processing

These two volumes of Signal Processing are based on lectures delivered during a six week program held at the Institute for Mathematics and Its Applications, Minneapolis, MN. The first two weeks of the program dealt with general areas and methods of Signal Processing. The problem areas included imaging and analysis of recognition, x-ray crystallography, radar and sonar, signal analysis and 1-D signal processing, speech, vision, and VLSI implementation. The methods discussed included harmonic analysis and wavelets, operator theory, algorithm complexity, filtering and estimation, and inverse scattering. The topics of weeks three and four were digital filter, VLSI implementation, and integrable circuit modelling. In week five the concentration was on robust and nonlinear control with aerospace applications, and in week six emphasis was on problems in radar, sonar and medical imaging. Because of the large overlap between the various one-week and two-week segments of the program, the material has been divided into two parts. Part I deals with general signal process theory and Part II deals with (i) application of signal processing, (ii) control theory related themes.
These two volumes will serve as a source of information and stimulation to mathematical scientists who wish to get acquainted with signal processing.