Fourier Series

ELE374 Fourier Analysis and Synthesis of Waveforms. By Anthony Njuguna EE08U122 – 080947424

Anthony Njuguna

ee08u122

Abstract Many applications in communication and systems are concerned with propagation of signals through networks. The resultant output signal is dependent on the properties of both the input signal and the processes acting on the signal. This is a laboratory Report will be focusing on using Fourier series to analyze waveforms and the synthesis of waveforms. The report highlights Fourier series analysis is a simple effective approach to analyse periodic signals. It will guide the reader through an experiment conducted in a lab to examine the effects of using Fourier analysis on signals and their waveforms. It should help the reader get a better understanding at signal analysis by looking at meaning of signal spectrum, how different waveforms have different spectrum but that standard results exist for standard waveforms. It should aid in the effects of spectrum limitations on the transmission of signals by looking at their bandwidth and bit rates.

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Anthony Njuguna

ee08u122 Contents

Abstract...............................................................................................................................1 Introduction.........................................................................................................................3 Background Theory...............................................................................................................4 The Experiment.....................................................................................................................6
 Part A. To use Fourier analysis to observe the effect of limiting the bandwidth of a real signal....................6

 Part B. To use Fourier analysis to decide bandwidth needed to support a binary representation of an analogue