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HW3 part1

# Consider the system shown below sinc t dt lpf cd h

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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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