Advanced Topics in Shannon Sampling and Interpolation Theory

Advanced Topics in Shannon Sampling and Interpolation Theoryis the second volume of a textbook on signal analysis solelydevoted to the topic of sampling and restoration ofcontinuous time signals and images. Sampling andreconstruction are fundamental problems in any field thatdeals with real-time signals or images, includingcommunication engineering, image processing, seismology,speech recognition, and digital signal processing. Thissecond volume includes contributions from leadingresearchers in the field on such topics as Gabor's signalexpansion, sampling in optical image formation, linearprediction theory, polar and spiral sampling theory,interpolation from nonuniform samples, an extension ofPapoulis's generalized sampling expansion to higherdimensions, and applications of sampling theory to opticsand to time-frequency representations. The exhaustivebibliography on Shannon sampling theory will make this aninvaluable research tool as well as an excellent text forstudents planning further research in the field.