And the magnitude of all the points except at f1 mn

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Unformatted text preview: tral leakage, then ! !! = ! , here m ! !! !!! ! !! ! is a positive integer. As there is no aliasing, then ! < . So m can only equal to 0, 1, 2, …, 512. Therefore we can get the sinusoidal frequencies are: !! = ! =!∗ !"""" !"#$ =!∗ !"# !" , here m = 0, 1, 2, …, 512. Q6. Answer: As from the lecture notes of lecture 1, we can get that for a real valued x[n] and even integer N, the magnitude of the DFT plot is symmetric and the phase of the DFT plot is anti ­symmetric about N/2 point. And the magnitude of all the points except at f1 = m/N and (N ­m)/N frequency points are of zero value. If x(t) is of sine function, then the value of the DFT at frequency m/N(Hz) is X[m] = frequency (N ­m)/N (Hz), the DFT value is X[N ­m] = of the DFT at frequency m/N(Hz) is X[m] = X[N ­m] = !" ! !...
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This note was uploaded on 01/13/2014 for the course EECS 452 taught by Professor Staff during the Fall '08 term at University of Michigan.

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