#FOURIER SERIES BIPOLAR SQUARE WAVE SOFTWARE#
A brief review of the trigonometry required will be covered as needed.Ģ Equipment PC with LabVIEW Runtime Engine software appropriate for the version being used. Pre-requisites: Familiarization with the SIGEx conventions and general module usage. From there we will look at the equations and use what we know from trigonometry to decompose waveforms into their constituent components. We will begin by adding together many beat frequencies and view the resulting waveform. In this Lab we explore this idea by means of an ancient technique based on the generation of beat frequencies - somewhat like when a musician uses a tuning fork. If this could be done, the system output can then be obtained by exploiting the additivity property of linear systems, i.e., first obtain the output corresponding to each sinusoidal component of the input signal, then take the sum of the outputs. One possibility is to see whether a non-sinusoidal waveform could be expressed as a sum of sinewaves, over a suitable frequency range, either exactly, or even approximately. Now, this is fine if we only need to process sinewaves - is it feasible to make use of this when dealing with other kinds of inputs? For example, when the input is a waveform like the sequence of digital symbols we investigated in Lab 4. We saw in Lab 4 that this makes it possible to completely characterize the behaviour of a system in this class by simply measuring the output/input amplitude ratio and the phase shift of the sinewave as a function of frequency. Unlike other waveforms, a sinewave input emerges at the output as a sinewave. Preliminary discussion In Lab 3 we discovered that sinewaves are special in the context of linear systems (time invariance assumed).
Demonstrate that periodic waveforms can be decomposed as sums of sinusoids. Compute fourier coefficients of a waveform. 1 Lab 2 A Fourier Series analyser Achievements in this experiment Compose arbitrary periodic signals from a series of sine and cosine waves.
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