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DiffEq: A MATLAB-Based Discrete-Time System Simulator
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DOI：10.1109/MAP.2015.2401794.png)
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摘要
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A MATLAB-based discrete-time system simulator (DiffEq) is introduced. This tool investigates linear constant-coefficient difference equations, which represent linear time-invariant finite-dimensional discrete-time systems. Closed-form analytical solutions can be expressed as a superposition of homogeneous and particular solutions, and this distinction gives valuable insights into the transient and steady-state behavior of the system. The transfer function, impulse response, characteristic roots, and simulation diagram of the system are obtained for different input types and initial conditions.
Keyword:
Characteristic roots
difference equation
discrete-time system
graphical user interface (GUI)
homogeneous solution
linear time invariant (LTI) system
MATLAB
particular solution
simulation diagram
stability
steady-state solution
transient solution
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