Question

Given the difference equation y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2), calculate the system response.

a) y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2)
b) y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2) + 0.75x(n-2)
c) y(n) = x(n-1) + 0.75y(n-1) - 0.125y(n-2)
d) y(n) = x(n-1) + 0.75y(n-1) + 0.125y(n-2)

Answer 1

The correct option is a) y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2).

Step-by-step explanation:

The given difference equation is.

y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2)

By substituting the values of x and y from the equation, you can calculate the system response.

The correct option is a) y(n) = x(n-1) - 0.75y(n-1) - 0.125y(n-2).

Answer 2

a) y(n)=x(n−1)−0.75y(n−1)−0.125y(n−2)