! Required information A discrete-time system is described by the difference equation y[n] – 0.85y[n – 2] = x[n] where x[n] is the excitation and y[n] is the response. Find the values of h[0], h[1], h[2], h[3], and h[4). The value of h[O] is ], h[1] is | |, h[2] is| h[3] is and h[4] is

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### Required Information

A discrete-time system is described by the difference equation:

\[ y[n] - 0.85y[n-2] = x[n] \]

where \( x[n] \) is the excitation and \( y[n] \) is the response.

### Problem Statement

Find the values of \( h[0] \), \( h[1] \), \( h[2] \), \( h[3] \), and \( h[4] \).

The value of \( h[0] \) is ____, \( h[1] \) is ____, \( h[2] \) is ____, \( h[3] \) is ____, and \( h[4] \) is ____.

---

Note: The equation \( y[n] - 0.85y[n-2] = x[n] \) represents a linear difference equation where the output \( y[n] \) depends on the input \( x[n] \) and the past output \( y[n-2] \). You need to determine the impulse response \( h[n] \) for \( n = 0, 1, 2, 3, 4 \).
Transcribed Image Text:### Required Information A discrete-time system is described by the difference equation: \[ y[n] - 0.85y[n-2] = x[n] \] where \( x[n] \) is the excitation and \( y[n] \) is the response. ### Problem Statement Find the values of \( h[0] \), \( h[1] \), \( h[2] \), \( h[3] \), and \( h[4] \). The value of \( h[0] \) is ____, \( h[1] \) is ____, \( h[2] \) is ____, \( h[3] \) is ____, and \( h[4] \) is ____. --- Note: The equation \( y[n] - 0.85y[n-2] = x[n] \) represents a linear difference equation where the output \( y[n] \) depends on the input \( x[n] \) and the past output \( y[n-2] \). You need to determine the impulse response \( h[n] \) for \( n = 0, 1, 2, 3, 4 \).
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