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I have the following difference equation: $y[n]=y[n-2]-0.25y[n-4]+x[n]-x[n-2]$ I need to find the first 6 values of the impulse response of the system characterized by that equation. When I do that, the values I get are: $[1,0,0,0,-0.25,0]$, starting from index zero. I have the answer, which states that the right response is $[1,0,0,0,-0.25,1]$. I really cannot find my mistake; any help will be appreciated.

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    $\begingroup$ Your answer is correct. Why don't you program it to check your result? $\endgroup$
    – Matt L.
    Dec 26 '14 at 12:35
  • $\begingroup$ I did that, but I always get the same result (as expected). Thanks a lot! $\endgroup$
    – Mojo
    Dec 26 '14 at 12:51
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Answers in textbooks are not necessarily right.. I have got the same answer as you ;)

If you are not sure that your method is right, you can always test digital systems on your PC (matlab, scilab, python, octave, or almost in any language )

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  • $\begingroup$ Thank you very much for the response. I wanted to double-check my result. $\endgroup$
    – Mojo
    Dec 26 '14 at 12:51

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