Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to decompose a function into exponential functions?

  1. Mar 4, 2012 #1
    now i have a function defined on Z+

    that is, it is defined on all positive integers, and it is complex

    now i know that it is the sum of a few (perhaps 6) exponential functions in the form of A_i exp(k_i x)

    how can i decompose the original function into the exponential functions? i.e., determine the values of k_i and A_i?
  2. jcsd
  3. Mar 5, 2012 #2


    User Avatar
    Science Advisor

    If you have 6 functions of the form [itex]A_ie^{k_ix}[/itex] then you have 12 constants you can set. That means that you can set your functions to pass through any 12 points. If you have more than that, you will need more functions.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook