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complex exponential signals

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

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  1. bhuvanesh


    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


    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


    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
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