Connect with us

complex exponential signals

Discussion in 'Electronics Homework Help' started by bhuvanesh, Mar 2, 2015.

Scroll to continue with content
  1. bhuvanesh

    bhuvanesh

    201
    0
    Aug 29, 2013
    what makes complex exponential special.its just an addition of cosine and sine with imaginary amplitude ,isn't it?.In my book the waveform for real exponential is given and for complex exponential signal the graph given is just sinusoidal signal .so i cannot differentiate complex exponential and sinusoidal signal.Thank you in advance
     
  2. Merlin3189

    Merlin3189

    250
    69
    Aug 4, 2011
    Quite so! This is Euler's Relation.

    A complex exponential can be written in terms of sin and cos.
    And sin and cos can be written in terms of complex exponentials.

    e^ix = cos(x) + i sin(x)

    sin(x) = {e^ix - e^-ix} / 2i
    cos(x) = {e^ix + e^-ix} / 2

    The complex exponential form is used when it is more mathematically convenient.
     
  3. bhuvanesh

    bhuvanesh

    201
    0
    Aug 29, 2013
    my professor stressed the line"complex exponential play big role in signals and system and it makes the things easier".i need strong reason to agree that.Thank you in advance
     
Ask a Question
Want to reply to this thread or ask your own question?
You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.
Electronics Point Logo
Continue to site
Quote of the day

-