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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Summer 2008 Problem Set #4 Assigned: Week of 9-Jun-08 Due Date: 16/17-Jun-08 = Please check the Announcements often on T-square. All official course an- nouncements are posted there. ALL of the STARRED problems will have to be turned in for grading. A solution to the starred problems 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. PROBLEM 4.1 *:- Ideal C-to-D Converter Ideal D-to-C Converter-- x ( t ) x [ n ] y ( t ) 6 T s = 1 /f si 6 T s = 1 /f so (a) Suppose that the input x ( t ) is given by x ( t ) = 8 + 4cos(2 (300) t- 3 / 7) + 10cos(2 (700) t + 2 / 3) + 6cos(2 (1000) t- 5 / 9) Determine the spectrum for x [ n ] for- when f si = 800 samples/sec. Make a plot for your answer, making sure to label the frequency, amplitude and phase of each spectral component. (b) Using the discrete-time spectrum from part (a), find the analog output y ( t ) when the sampling rate of the D-to-C converter is f so = 800 Hz. Express your answer the same way we expressed x ( t ) above, i.e. in terms of cosines....
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- Spring '08
- Signal Processing