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An Operation Reduction Using Fast Computation of an Iteration-Based Simulation Method with

Vladimir Mladenovic1, Danijela Milosevic1, Miroslav Lutovac2

  • 1Faculty of Technical Sciences Cacak, University of Kragujevac, 32000 Cacak, Serbia.

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Summary
This summary is machine-generated.

This study introduces an efficient computational method for complex system analysis, reducing math operations and computation time. It enables faster, insightful analysis for wireless systems, benefiting both education and engineering applications.

Keywords:
Kummer’s transformationiteration-based simulation methodmicrosimulation-semi-symbolic analysis

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Area of Science:

  • Engineering
  • Computer Science
  • Mathematics

Background:

  • Complex calculations in system analysis, simulation, and design often require significant computation time and numerous mathematical operations.
  • Traditional numerical methods for solving complex expressions can be time-consuming and may not provide deep insights into system parameters.

Purpose of the Study:

  • To present an innovative computational method that shortens calculation time and reduces mathematical operations for process and system analysis.
  • To demonstrate the method's applicability in education and engineering, particularly for complex wireless communication systems.

Main Methods:

  • Utilized a computer algebra system (CAS) to formulate hypotheses and define the joint probability density function for modulation techniques.
  • Developed an iteration-based simulation method yielding closed-form solutions, contrasting with prior numerical approaches.
  • Applied microsimulation-semi-symbolic analyses to fully specify wireless systems.

Main Results:

  • Achieved shortened computation time and a reduced number of mathematical operations for complex calculations.
  • Enabled the derivation of closed-form solutions for probability density functions and outage probability.
  • Successfully illustrated the method's efficacy through a case study of a complex wireless communication system.

Conclusions:

  • The presented method offers significant time efficiency improvements over traditional numerical methods.
  • Provides enhanced insight into the impact of parameters for information transmission and detection in wireless systems.
  • Beneficial for students in performance analysis and for engineers/researchers in system design and optimization.