(Solved): Linear Systems Analysis Find a complex coefficient Fourier series representation and determine th ...

Expert Answer

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Step-1

  
Where T=4

a)we can use the formula for the complex coefficient Fourier series representation:

  

where x[n] is the nth sample of the signal and T is the sampling period.

In this case, T=4 and x[n] = ?[n]. Thus,

  

The Fourier series coefficients for a periodic impulse train are given by:

  
Substituting    into this formula and simplifying,
we get