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**Unformatted text preview: **GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Spring 2009 Problem Set #9 Assigned: 6-March-09 Due Date: Week of 23-March-09 Reading: In SP First , Chapter 7: z-Transform and Chapter 8 IIR Filters. H) Please check t-square often. All official course announcements are posted there. BOTH of the STARRED problems will have to be turned in for grading. A solution will be posted to the web. Some problems have solutions similar to those found on the CD-ROM. Your homework is due in recitation at the beginning of class. After the beginning of your assigned recitation time, the homework is considered late and will be given a zero. ) Students in the Monday recitations should turn in HW #9 on Wednesday (25-Mar-08) at their lab time. Please follow the format guidelines (cover page, etc.) for homework. PROBLEM 9.1 : The input to the C-to-D converter in the figure below is x.t/ D 2 cos .1200 t =4/ C 3 cos .3000 t =3/ The LTI system is an FIR filter that is a six-point running sum filter whose system function is H.z/ D 1 z 6 1 z 1- Ideal C-to-D Converter LTI System H.z/ Ideal D-to-C Converter--- x.t/ xOEnŁ yOEnŁ y.t/ 6 T D 1=f s 6 T D 1=f s (a) Determine the values of the frequency response at O ! D and 1 2 by converting O ! into z and evaluat- ing H.z/ directly. In other words, do not use the formula for H.e j O ! / (b) If f s D 2400 samples/second, determine an expression for y.t/ , the output of the D-to-C converter....

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