Physics · Signals and Systems
For a causal LTI system, the impulse response is h(n) = {1, 2, 1, 3} with the arrow pointing at the first element (n = 0). What will be the difference equation of the system?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1y(n) = x(n) + 2y(n - 1) + y(n - 2) + 3y(n - 3)
- 2y(n) = x(n) - 2x(n - 1) - x(n - 2) - 3x(n - 3)
- 3y(n) = x(n) + 2x(n - 1) + x(n - 2) + 3x(n - 3)✓
- 4y(n) = x(n) - 2y(n - 1) - y(n - 2) - 3y(n - 3)
Correct answer
y(n) = x(n) + 2x(n - 1) + x(n - 2) + 3x(n - 3)
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