View source for Table of CT Fourier series coefficients and properties (include some computations and proofs if you are really brave) - Rhea

= Table of CT Fourier series coefficients and properties =

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== Some Fourier series ==


{| border="1" class="wikitable"
|-
! Function 
! Coefficients 
! Fourier Series
|-
| <math>sin(w_0t)</math> 
| <math>\frac{1}{2j}e^{jw_0t}-\frac{1}{2j}e^{-jw_0t}</math> 
| <math>a_1=\frac{1}{2j}, a_{-1}=\frac{-1}{2j}, a_k=0 \mbox{ for } k \ne 1,-1</math>
|-
| <math>cos(w_0t)</math> 
| <math>\frac{1}{2}e^{jw_0t}+\frac{1}{2}e^{-jw_0t}</math> 
| <math>a_1=\frac{1}{2}, a_{-1}=\frac{1}{2}, a_k=0 \mbox{ for } k \ne 1,-1</math>
|}

== Properties  of CT Fourier systems ==

{| border="1" class="wikitable"
|-
! Property 
! Periodic Signal 
! Fourier Series Coefficients
|-
|  
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|}