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Difference Equation Zero-Input Response Example #3 (Complex Roots)

http://adampanagos.org The zero-input response of a discrete-time linear system is a linear combination of the characteristic modes of the system. The characteristic modes of the system can be found from the roots of the system characteristic equation. In this video, we find the roots of the characteristic equation and solve for the zero-input response using the system initial conditions for the case when the system has complex-conjugate roots. The previous videos in this playlist worked examples where the roots were distinct and repeated. The next video in this playlist is: Difference Equation Impulse Response Solution via Iterative Approach -    • Difference Equation Impulse Response Solut...   The previous video in this playlist is: Difference Equation Zero-Input Response Example #2 (Repeated Roots) -    • Difference Equation Zero-Input Response Ex...   Course website: https://www.adampanagos.org/dt-signal... If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!