Repeat all parts of Problem 1 using MATLAB and MATLABs Symbolic Math Toolbox. Data from Problem 1

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Repeat all parts of Problem 1 using MATLAB and MATLAB’s Symbolic Math Toolbox.


Data from Problem 1

Derive the z-transforms for the time functions listed below. Do not use any z-transform tables. Use the plan f (t) → f *(t) → F*(s) → F(z), followed by converting F(z) into closed form making use of the fact that 1/(1 - z-1) = 1 + z-1 + z-2 + z-3 + ∙ ∙ ∙ . Assume ideal sampling.

a. e-atu(t)

b. u(t)

c. t2e-atu(t)

d. cos ωt u(t)

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