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8974 - EEE 391 Basics of Signals and Systems Computer...

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EEE 391 Basics of Signals and Systems Computer Assignment 2 Due: 14 March 2011 by 17:00 in the homework box Reconstruction in the Time Domain: Write MATLAB code for reconstruction in the time domain using pulse signals p ( t ) of different shapes. Your program should implement the following equation: y ( t ) = summationdisplay n = -∞ y [ n ] p ( t - nT s ) where y [ n ] are samples of a discrete-time sequence and y ( t ) is the reconstructed signal. The input of the program should be any sequence y [ n ] of finite duration and the sampling period T s . The user should be able to select from a menu of pulse signals: i) standard square pulse of duration T s (use Eqn.(4.20) in the textbook), ii) standard triangular pulse of duration 2 T s (use Eqn.(4.21) in the textbook), iii) a parabolic pulse consisting of three parabolic segments (of total duration 4 T s ), iv) truncated optimal (ideal) pulse (use Eqn.(4.22) in the textbook for the ideal pulse and truncate it at ± 3 T s ). The output of the program should be the reconstructed signal y ( t ). Demonstrate that your program works by using the following sequence: y [ - 4] = y [0] = y [8] = 1 y [1] = y [5] = 2 y [ -
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