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Unformatted text preview: 1) The output is given by the convolution sum a) k k n x k h n y ) ( ) ( ) ( . If ) ( n h and ) ( n x are both real then it is obvious that ) ( n y will also be real. b) Note that, since ) ( n h is real we can take the conjugate of the convolution sum equation above to get k k n x k h n y ) ( ) ( ) ( which shows that if the input is ) ( n x the output is ) ( n y . c) Again, since ) ( n h is real we can use the two summation equations above to get k k k k n x k n x k h k n x k h k n x k h n y n y 2 ) ( ) ( ) ( 2 ) ( ) ( ) ( ) ( 2 ) ( ) ( or, equivalently, k k n x k h n y ) ( Re ) ( ) ( Re Which is the same as ) ( Re ) ( ) ( Re k n x k h n y ....
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This note was uploaded on 03/31/2012 for the course EE EL6113 taught by Professor Profcampssi during the Spring '12 term at NYU Poly.
- Spring '12