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Unformatted text preview: M = 3. 2. Compute the fourpoint DFT, X [ k ], of the sequence: x [0] = 1, x [1] = j , x [2] = 1, x [3] = j . X [ k ] = x [ n ] W 4 kn n = 3 = x [ n ] e jkn /2 n = 3 = x [ n ]( n = 3 j ) nk X [0] = (1)(1) + ( j )(1) + ( 1)(1) + ( j )(1) = X [1] = (1)(1) + ( j )( j ) + ( 1)( 1) + ( j )( j ) = X [2] = (1)(1) + ( j )( 1) + ( 1)(1) + ( j )( 1) = X [3] = (1)(1) + ( j )( j ) + ( 1)( 1) + ( j )( j ) = 4 X [ k ] = 4 [ n 3]...
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This note was uploaded on 03/16/2012 for the course ECEN 487 taught by Professor Dr.brianjeffs during the Winter '12 term at BYU.
 Winter '12
 Dr.BrianJeffs
 Aliasing

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