The period of summation functions

  • Thread starter Luongo
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  • #1
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1. how do i find the period of summation of some function ie: 2^-k or cos(pi k) multiplied by some complex exponential ei7kt

ie: f( t ) = [tex]\sum[/tex]
2-kei7kt



2. does anyone know the formula for finding the period of summations of complex exponentials? note this is for fourier



3. would i say that omega is 7k by Euler's method. if i converted to sines and cosines, thus the period T = 2pi/7?
is this how i would find the period of this summation?
 

Answers and Replies

  • #2
The definition of periodicity is as follows:
If T is the period of a function f(t) then,
f(t+ T) = f(t).

Does your answer admit to this definition ?
 
  • #3
120
0
The definition of periodicity is as follows:
If T is the period of a function f(t) then,
f(t+ T) = f(t).

Does your answer admit to this definition ?

i think so thanks
 
  • #6
my friend said i am wrong.......?
What is his reasoning ?
 

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