output y(n): euler problem

Discussion in 'Math' started by slimnick, Oct 31, 2010.

  1. slimnick

    Thread Starter Member

    Nov 25, 2007
    ok this isnt really a homework question for me but rather i need a little help refreshing my memory as it has been awhile since i did this.

    i need to find the output of a filter y(n)

    with an input of X(n)= cos(n3∏/7)

    and transfer function H(ω) = ((0.5-0.2e^(-jω))/(1+0.7e^(-jω)+0.1e^(-2jω))

    the input and TF are in different domains, i know that i need to use euler's on the exp parts, but cant quite remember how to get to y(n).
    any help will be apreciated