Question

Determine the response to input x[n]=(2)ⁿu[−n−1] of the anti-causal system described by given the difference equation:

y[n]−(3/4)y[n−1]+(1/8)y[n−2]=x[n]+0.25x[n−1]

Answer 1

To determine the response to the input x[n]=(2)ⁿu[−n−1] of the anti-causal system, substitute the input into the difference equation and solve step-by-step.

Step-by-step explanation:

To determine the response to the input x[n]=(2)ⁿu[−n−1] of the anti-causal system described by the given difference equation, we can solve it step-by-step:

1. First, we substitute x[n]=(2)ⁿu[−n−1] into the difference equation.
2. Then, we rearrange the equation to solve for y[n].
3. Finally, we substitute the input x[n] and x[n-1] into the equation to find the response y[n].

By following these steps, we can determine the response to the input x[n]=(2)ⁿu[−n−1] for the given anti-causal system.