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Unformatted text preview: ENEE 241 02* HOMEWORK ASSIGNMENT 4 Due Thu 02/19 (i) (4 pts.) Consider the frequency f = 180 Hz and the sampling rate f s = 450 samples/sec. List all the aliases of f with respect to f s in the frequency range 0.0 to 1.8 kHz. (ii) (2 pts.) If we sample, at rate f s = 450 samples/sec, a continuoustime realvalued sinusoid whose frequency is one of the values found in part (i) above, what is the resulting frequency ω of the sample sequence? Give your answer in the range [0 ,π ] (radians/sample). (iii) (5 pts.) The discretetime sinusoid x [ n ] = 5 . 6cos(0 . 32 πn + 2 . 3) is obtained by sampling a continuoustime sinusoid x ( t ) at a rate of 450 samples per second. If it is known that the frequency of x ( t ) is in the range 0 to 225 Hz, write an equation for x ( t ). (iv) (4 pts.) Let x [ n ] be as in (iii), with the sampling rate unchanged. If, instead, it is known that the frequency of x ( t ) is in the range 675 to 900 Hz, write a new equation for x ( t )....
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 Spring '08
 staff
 Frequency, Signal Processing, Cos, sampling rate

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