The Application of Finite Summation Waveforms to Multiplex Signal Systems

Abstract

This thesis is concerned with telecommunications systems, and is an investigation into some aspects of multiplex signal systems. It is shown that a generalised theoretical approach to multiplex systems may be made, in terms of orthogonal functions. Some signal processing methods applicable to the interconversion of frequency-division-multiplex and time-division-multiplex systems are considered. The properties of waveforms consisting of a selected group of harmonics are examined, and it is shown that these maybe used as the basis of a time-division-multiplex system which requires only the minimum transmission bandwidth. The properties of the spectra of regular pulse sequences are derived, and it is shown that improved methods may be found for generating the set of carriers for a frequency-division-multiplex system.