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Mathematical Modelling of Discrete Time Bandlimited Signals for Digital Communication

In this paper we use Nyquist-Shannon sampling theorem for bandlimited signals to propose and verify new techniques to construct and analyze: i) Discrete Time models for Continuous Time signals, and ii) Continuous Time models for Discrete Time signals. These reconstruction and processing techniques include some of the most practical mathematical issues in Discrete Time signal/system research area such as digital signal processing and digital communication in the last two decades. Detailed mathematical descriptions and figures are used to illustrate the concepts. Furthermore, we propose and successfully verify the application of Discrete Time reconstruction and processing techniques to Super Resolution Reconstruction (SRR) to model higher resolution signals by using DT sampled signal.