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Unformatted text preview: Drexel University, ECES 302, Spring 2010 1 0 2 0 3 0 4 0 5 0 6 0 7 0 5 0 1 0 0 1 5 0 2 0 0 2 5 0 3 0 0 3 5 0 4 0 0 4 5 0 5 0 0 5 0 1 0 0 1 5 0 2 0 0 2 5 0 3 0 0 2 0 0 4 0 0 6 0 0 8 0 0 1 0 0 0 1 2 0 0 1 0 0 2 0 0 3 0 0 4 0 0 5 0 0 6 0 0 2 0 0 4 0 0 6 0 0 8 0 0 1 0 0 0 1 2 0 0 Problem 1  Let x ( n ) be a FT signal. The 64point, 256 and 512point DFTs of x ( n ) are shown in the above figure. What can you tell about the frequency content of x ( n ) ? What can you tell about the frequency context of the continuous time signal x ( t ) which was sampled to produce x ( n ) ? June 2, 2010 DRAFT 1 Problem 2  A 5 KHz real sinusoid is sampled at f s = 20 kHz and 128 samples are obtained. Roughly sketch the DTFT of x ( n ) , i.e, X (Ω) for Ω ∈ (0 , 2 π ) . A 128point DFT is taken on x ( n ) . Roughly sketch the DFT of x ( n ) . Problem 3  Consider the continuoustime signal: x ( t ) = 4 + 10 cos (4 πt ) + 2 sin (3 πt ) , where t is in milliseconds. Indicate the minimum sampling rate that will not cause aliasing.milliseconds....
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 Spring '08
 CARR
 Signal Processing, Continuous signal, inverse 5point DFT

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