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 all roots of the system are distinct.
The next videos in this series work examples where the roots are repeated and complex.
The next video in this playlist is:
Difference Equation Zero-Input Response Example #2 (Repeated Roots) - https://youtu.be/RMqYUy9MFns
The previous video in this playlist is:
Difference Equation Zero-Input Response Theory - https://youtu.be/dFBvmqj8D7E
Course website:
https://www.adampanagos.org/dt-signals-and-systems
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!
