Theory and applications of interval-average sampling

In processing continuous and sampled waveforms, situations in which a distortion is introduced are frequently encountered. It is preferred to recover the undistorted signal from the distorted form using a limited a priori information. When the desired signal is known to belong to some general class of waveforms, and the known distortion process satisfies certain fairly general criteria, then the desired waveform can be recovered using a simple iterative procedure. This research deals with distortions known as contraction mappings and some associated applications such as the demodulation of very wideband FM and the reconstruction of waveform from nonequally spaced interval-average samples. The main objective of this research was to solve a number of problems on FM demodulation and interval-average sampling.