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Difference equation in discrete systems is similar to the _____________ in continuous systems.
Difference equation solution yields at the sampling instants only:
Difference equation technique for higher order systems is used in:
Assertion (A): An LTI discrete system represented by the difference equation. y (n+2)-5y(n+1)+6y(n) =x(n) is unstable.
Reason (R): A system is unstable if the roots of the characteristic equation lie outside the unit circle.
The poles of a digital filter with linear phase response can lie
Assertion (A): The stability of the system is assured if the ROC includes the unit circle in z-plane.
Reason (R): For a causal stable system all the poles should be outside the unit circle in the z-plane.
Assertion (A): For the rational transfer function H(z) to be causal, stable and causally invertible, both the zeroes and the poles should lie within the unit circle in the z-plane.
Reason (R): For a rational system, ROC is bounded by poles