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

Author

Uluisik, Cagatay

Author_Institution

Dept. of Electron. & Commun. Eng., Dogu Univ., Istanbul, Turkey

Volume

57

Issue

1

fYear

2015

fDate

Feb. 2015

Firstpage

42

Lastpage

47

Abstract

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.

Keywords

difference equations; digital simulation; discrete time systems; graphical user interfaces; multidimensional systems; transfer functions; transient response; DiffEq; MATLAB-based discrete-time system simulator; characteristic root; closed-form analytical solution; impulse response; linear constant-coefficient difference equation; linear time-invariant finite-dimensional discrete-time system; simulation system diagram; steady-state system behavior; transfer function; Differential equations; Discrete-time systems; MATLAB; Mathematical model; Simulation; Steady-state; Transient analysis;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/MAP.2015.2401794

Filename

7061620