Plotting & Finding Fourier Coefficients of Waveform Cycle

hammadmunawar
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Homework Statement



Given the first cycle of a waveform:

f(t)=2u(t)-2u(t-1)+u(t-2)-u(t-3)

-- Plot the first cycle of the wave form
-- Find the Fourier Coefficients

Homework Equations



Given above

The Attempt at a Solution



No idea yet. Will appreciate any help.
 
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Although the author should have specified the period, one might assume from what you were given that the period is P = ?

If you draw another cycle for negative t, would the function look even, odd, or neither?

What are the formulas for an and bn, remembering that u function has values of only 0 or 1.

Answering those questions might get you started.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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