1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Envelope(s) of the Sinc function

  1. Dec 22, 2015 #1
    What is the envelope function(s) of the sinc function?
     
  2. jcsd
  3. Dec 23, 2015 #2

    blue_leaf77

    User Avatar
    Science Advisor
    Homework Helper

    ##\textrm{sinc}(x) = \frac{\sin x}{x}##, if you define the carrier oscillation to be ##\sin x##, what would be the envelope?
     
  4. Dec 23, 2015 #3
    I was thinking of a function that would also accommodate the central peak and the underside of the central peak?

    Does such a function exist, or do I need to use a piece-wise function?
     
  5. Dec 23, 2015 #4

    blue_leaf77

    User Avatar
    Science Advisor
    Homework Helper

    As far as I know, the envelope of a function comes along with the carrier, which is usually defined to be oscillating periodically. In the case of ##\textrm{sinc} (x)##, the carrier according to that definition is the sine and hence the envelope is ##1/x##. I don't think you can find another form for the envelope, without changing the carrier and hence changing the whole function.
     
  6. Dec 23, 2015 #5
    alright thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Envelope(s) of the Sinc function
  1. Envelope functions (Replies: 7)

Loading...