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WebJul 18, 2015 · In the first case, the AR (2) is stable if the roots are inside the unit circle. In the second case, the AR (2) is stable if the roots are outside the unit circle. So be careful how you define the polynomial before deciding on the statement. For me. its more natural to define it with the z's. WebIf there are no roots on the unit circle, the winding number of a0 + a1eiθ + … + akeikθ about the origin as θ goes from 0 to 2π gives you the number of roots (counted by multiplicity) inside the unit circle. Subtract from k (assuming ak ≠ 0) to get the number outside the circle. – Robert Israel Sep 5, 2024 at 20:00 1 bottled dulong

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