DiffEq: A MATLAB-Based Discrete-Time System Simulator [Testing Ourselves]

摘要

A MATLAB-based discrete-time system simulator (DiffEq) is introduced. This tool investigates linear constantcoefficientr difference equations, which represent linear time-invariant finite-dimensional discrete-time systems.r Closed-form analytical solutions can be expressed as a superposition of homogeneous and particular solutions,r and this distinction gives valuable insights into the transient and steady-state behavior of the system. The transferr function, impulse response, characteristic roots, and simulation diagram of the system are obtained for differentr input types and initial conditions.