Using matlab

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assignment inside attachment

EE3302.001 Waveform Reconstruction Due 4/26/2017 Overview Teams of one to three students will write and document a MATLAB program that demonstrates how sinc interpolation is used to reconstruct a band-limited signal. Printed reports are due at the beginning of the last day of class. Reports should include a brief narrative, relevant waveform plots, and a source code listing in an appendix. Please cite any references that you find useful. Description A continuous signal x (t) is defined as: x(t) = sin2 (2ft) for 0 t 0.5 10-3 s = 0, elsewhere with f = 1 kHz. Suppose that x(t) is sampled at a frequency fs = 7 kHz. (a) Write MATLAB code that produces a plot of x(t), x[n], and a linear interpolation of x[n], for the interval 0 t 1 ms. (b) Write MATLAB code that uses sinc interpolation to calculate values of x(t) every 50 s over the range 0 t 1 ms. (c) Plot x(t), x[n] and the reconstructed values of x(t). For optional extra credit: Define x(t) in a function that can be edited by users. Allow users to specify the sampling frequency fs. Investigate the impact of under-sampling on the interpolated results