Unformatted text preview: sampling rates: 1
= 20 kHz. T
1
(b) = 15 kHz. T
1
(c) = 2 kHz. T (a) € € €
€ € € 2. Consider the system shown below.
sinc( t ) DT LPF C/D H LP ( F ) (cutoff frequency = ¼) €
T D/C y r (t) € €
T Find the output signal y r ( t ) for the following sample periods. (Note: your answers should
€
€
have simple forms – no infinite sums, complex numbers, etc.)
1
(a) T = sec.
2
€
T = 2 sec. (b) € 3. Consider the CT signal xc ( t ) = rect ( t ) shown below: € The signal is sampled with sample period T to generate the DT signal x [ n ] = xc ( nT ) . The DT signal is then put through an ideal reconstruction ∞
% t − nT (
system to generate the reconstructed signal x r ( t ) = ∑ x [ n ] sinc'
*. €
&T)
n =−∞ € € For each of the following values of T , sketch the DT Fourier Transform magnitude X ( F ) and the reconstructed signal x r ( t ) . €
(a) T =1 €
1
(b) T € =
€
3 € 4. (more problems to follow…)...
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This homework help was uploaded on 03/06/2014 for the course ECE 563 taught by Professor Goeckel during the Fall '11 term at UMass (Amherst).
 Fall '11
 Goeckel
 Frequency, Signal Processing

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