HW_9(483)S09_Revised

HW_9(483)S09_Revised - EE 483 Digital Signal Processing...

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EE 483 – Digital Signal Processing Spring 2009 Homework #9 – Due Wednesday, March 25, 2009 by 4:30 p.m. 9.1 A continuous-time prototype lowpass filter has a cutoff frequency at π = Ω 4000 c rads/s and we choose the bilinear transform parameter T = 0.4 ms. What is the cutoff frequency for the resulting digital filter? c ω 9.2 The bilinear transform is used to design an ideal digital lowpass filter with cutoff frequency from an ideal continuous-time lowpass filter with cutoff frequency rads/s. Give a choice for the parameter T that is consistent with this information. Is this choice unique? If not, give another choice which is consistent with this information. 5 / 3 c π = ω π = Ω 600 c 9.3 We wish to design a digital highpass filter satisfying the specifications: , 2 . 0 0 , 04 . 0 ) e ( H 04 . 0 j π ω < < ω . 3 . 0 , 005 . 1 ) e ( H 9950 . 0 j π ω π < < ω The filter will be designed using the bilinear transform with T = 2 ms by transforming a continuous-time prototype filter. State the specifications that should be used to
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This note was uploaded on 02/02/2010 for the course EE 483 taught by Professor Mitra during the Fall '08 term at USC.

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HW_9(483)S09_Revised - EE 483 Digital Signal Processing...

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