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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the analog signal xa (t) = cos (20πt + θ), 0 ≤ t ≤ 1. It is sampled at Ts = 0.05 sec intervals to obtain x(n). Let θ = 0, π/6, π/4, π/3, π/2. For each of these θ values, perform the following.
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1. Plot xa (t) and superimpose x(n) on it using the plot(n,x,’o’) function.
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2. Reconstruct the analog signal ya (t) from the samples x(n) using the sinc interpolation (Use ∆t = 0.001) and superimpose x(n) on it.
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3. Reconstruct the analog signal ya (t) from the samples x(n) using the cubic spline interpolation and superimpose x(n) on it.
4. You should observe that the resultant reconstruction in each case has the correct frequency but a different amplitude. Explain this observation. Comment on the role of phase of xa (t) on the sampling and reconstruction of signals.
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