- #1
Connorm1
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Homework Statement
Q1. a) In relation to Fourier analysis state the meaning and significance of
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i) odd and even functions ii) half-wave symmetry {i.e. f(t+π)= −f(t)}.
Illustrate each answer with a suitable waveform sketch.
b) State by inspection (i.e. without performing any formal analysis) all you can about each of the periodic waveforms shown in FIGURE 1 in terms of their Fourier series when analysed about t = 0.
Homework Equations
No equations required ( I don't think)
The Attempt at a Solution
So I have attached my rough answers for 1a) i/ii.
For 1b) I am just have trouble getting a head start. I don't know how much depth that want for it or even if there is much to say?
Would i just go about explaining if they are even/odd functions which would tell us something about the symmetry & what sine/cosine terms they have or if they are neither. Any x/y axis shifts e.g. in (c) looks like it's been shifted forwards compared to (d). I just want to get a rough idea of what I am writing.
So for example for (a) Would i just have to say it's an odd function. Thus meaning it would have symmetry about the origin. For this function it would only consist of sine terms. Other then this how much further do i take it?
Attachments
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upload_2018-8-8_19-7-1.png2.5 KB · Views: 784
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Question 1a)i).jpg27 KB · Views: 707
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Question 1a)ii).jpg29.3 KB · Views: 792