Consider the system: ?[?] − 0.5?[? − 1] − 0.25?[? − 2] = ?[?] + 2?[?...

Consider the system: ?[?] − 0.5?[? − 1] − 0.25?[? − 2] = ?[?] + 2?[? − 1] + ?[? − 2]

Assume initial conditions y(-1) = 1, y(-2) = 0 and that the input signal to the system is a discrete-time unit step. Determine the formula for the Z-transform of the solution, Y(z). Subsequently, determine the formula for the solution, y[n], itself.

Expert Solution

In this question, the initial condition has been given so this is the unilateral z transform-based problem.

So first take the z transform of the equation when putting the input as a step signal and find the y(z).

after that, we take the inverse z transform of y(z).

Manojponduru answered 1 month ago

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