Z-Transform Inversion by Partial Fraction Expansion (PFE)

http://adampanagos.org The previous video outlined the general strategy we use in this course to invert a z-domain quantity back into the discrete-time domain. This video works a specific example of this process. Starting with X(z), we decompose X(z) into a linear combination of first-order terms using partial fraction expansion (PFE). For each term we then analyze the pole location and a decide on a right-sided or left-sided time-domain signal based on the pole location relative to the region of convergence of X(z). The previous video in this playlist is: Inverse Z-Transform Introduction - https://youtu.be/iQnZdsCDHGM 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!