# mtf07 - Carleton University Department o f Systems Computer...

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Carleton University Department of Systems & Computer Engineering SYSC-5602 Digital Signal Processing' Fall Semester 2007 Midterm Exam, October 22, 2007 Answer the following Questions Question 1 Consider the following system xattJ Ideal C-to-D x(n) LTI Filter yen) Zero-Order yet) Converter Hold H(ei co ) : is = 8000 Hz " , f s = 8000 Hz where the sampling rate is = 8000 Hz and the discrete time LTI filter has a frequency response H( ejCJ.) given by the following magnitude and phase plots. Note that the system does not include anti-aliasing lowpass filters. ,~,',. :~:; .J:.:; v ''''~':<'' ;C.:, ' :0. . o 'Jt ----- . . ----- _____ .1,. ____ _ I I I ------'----- 1TI8 nl4:\j;;>,31Lt8 1!12 5-n18.: i 3W4 " 71T18 'Jt norfn~ll~ed radial frequency{r~d!~m~lsample) }tl4:2,)il8 1tI2 51T1831tt+. . 71T18 norn1ali'zed radial frequency (radians/sample)

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a) Sketch a reasonable estimate of the pole-zero diagram for the discrete-time filter. b) List all analog frequencies that would be nulled by this system, including aliases. Give your
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## This note was uploaded on 10/24/2009 for the course SCE sysc5602 taught by Professor El-tanany during the Winter '09 term at Carleton CA.

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mtf07 - Carleton University Department o f Systems Computer...

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